All Stories

  1. Testing global-monopole gravity with shock-cone QPOs and mass estimates of Seyfert black holes
  2. Spherically symmetric quantum-corrected black holes with string clouds: A multi-observable analysis
  3. Deformed AdS black hole with global monopole and quintessence: Geodesics, perturbations, quasinormal modes, and emission
  4. Astrophysical signatures of black holes in beta dark matter halos: QPO constraints from X-ray binaries, shadow, accretion, and thermal radiation
  5. A charged black string wormhole with disclinations: Ray and wave optics
  6. Plummer dark matter black hole with topological defects: Shadow, greybody factors, quasinormal modes, and thermodynamics
  7. Spherically symmetric quintessential black holes in antisymmetric tensor gravity
  8. Is Li Time-Machine Metric Valid in f(R,ℒm,Φ,gμν∇μΦ∇νΦ) Gravity?
  9. Einstein–Born–Infeld–AdS black holes: Quantum thermodynamics, gravitational lensing, and heat engine analysis
  10. Andreev reflection in Reissner–Nordström spacetime: coulombic pair-breaking and the electromagnetic Clogston radius
  11. Helicity-Resolved Greybody Factors of AdS-NLED Black Holes with Strings and Quintessence
  12. Geometric and wave optics analysis of BTZ-like charged wormholes with disclinations
  13. Exact black-hole solutions in ΦR−ΛΦ2 dilaton gravity: Thermodynamics, stability, topology, and dynamical probes
  14. Letelier Black Holes Immersed in a Chaplygin-like Dark Fluid Environment
  15. Astrophysical signatures of AdS black holes with exotic matter: Cloud of strings, quintessence, and nonlinear electrodynamics
  16. Dirac Quasinormal Spectra and Quality Factor Analysis with GUP Corrections in Noncommutative Kiselev Spacetimes with Quintessence
  17. Aharonov–Bohm Effect for Cooper Pairs in Kerr Spacetime: Gravitomagnetic Phase Shifts From Frame Dragging
  18. Photon spheres, ISCOs, and zoom-whirl orbits around effective quantum-gravity black holes surrounded by quintessence
  19. Are Petrov type-N and D spacetimes admitting CTCs valid in $$f(R,\mathcal {L}_m,\Phi ,X)$$ gravity?
  20. Testing the weak gravity conjecture via gravitational lensing, black hole shadows, and Barrow thermodynamics in F(R)-Euler-Heisenberg (A)dS black holes
  21. Gravitational dynamics and shadow formation in magnetized black hole solutions coupled with a cloud of strings
  22. Quantum-corrected thermodynamics of Conformal Weyl Gravity black holes: GUP effects and phase transitions
  23. Dynamics of test particles, QPOs and thermodynamics of charged Euler-Heisenberg AdS black holes with a cloud of strings and dark matter
  24. Systematic light propagation bias from the Heliosphere and its impact on the Hubble tension
  25. Quantum-corrected thermodynamics and phase structure of electrically charged Kalb–Ramond black holes via GUP-modified tunneling
  26. A Line-Integral Representation of Gravitational Lensing by Black Holes
  27. Greybody factor, resonant frequencies, and entropy quantization of charged scalar fields in the Kerr-EMDA black hole
  28. Letelier black hole immersed in an electromagnetic universe
  29. Stable phases and Joule–Thomson inversion in Euler–Heisenberg–AdS black holes via Barrow, Tsallis, Rényi and Kaniadakis entropies
  30. Constraining Kalb-Ramond gravity with cloud of strings using EHT shadow observations and X-ray binary QPO data
  31. Thermodynamics of Charged Bardeen-AdS Black Hole with Perfect Fluid Dark Matter and Cloud of Strings
  32. A New Line-Integral Method for Gravitational Lensing by Black Holes
  33. Thermal and optical signatures of Einstein-Dyonic ModMax black holes with GUP and plasma modifications
  34. Quantum-corrected thermodynamics and plasma-influenced gravitational lensing in Einstein–Euler–Heisenberg black holes
  35. Beyond extremality: Weak Gravity Conjecture constraints on gravitational lensing in gravity’s rainbow
  36. Deformed Ho\v{r}ava Lifshitz Black Holes: Thermal and Optical Signatures
  37. Andreev Reflection and the BTK Conductance in Schwarzschild Spacetime
  38. Hawking radiation and gravitational lensing in quantum-modified black holes via the Gauss–Bonnet method
  39. Photons Trajectory Analysis in Lorentz-Violating Black Holes with a Cosmic String and Cloud Strings
  40. Unified Analysis of Fermionic Tunneling, Barrow‐Exponential Entropy Corrections, and Plasma Lensing in Carrollian Reissner‐Nordström Spacetime
  41. Geodesic structure, perturbative dynamics and thermal properties of black hole in Kalb–Ramond gravity
  42. Imprints of ModMax electrodynamics on particle dynamics and thermodynamic properties of Kalb–Ramond AdS black holes
  43. Quantum corrections and exotic criticality in charged rotating BTZ black holes
  44. Multi-Spin Particle Tunneling and Black Hole Thermodynamics: GUP-Corrected Zitterbewegung and Exponentially Modified Entropy
  45. Spin Dependent Quantum Corrections to Schwarzschild Black Hole Thermodynamics with Barrow Entropy and GUP
  46. Constraining Kalb-Ramond gravity with cloud of strings using EHT shadow observations and X-ray binary QPO data
  47. Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
  48. Unified Analysis of Fermionic Tunneling, Barrow-Exponential Entropy Corrections, and Plasma-Lensing in Carrollian-Reissner-Nordström Spacetime
  49. Perturbations and Greybody Factors of AdS Black Holes with a Cloud of Strings Surrounded by Quintessence-like Field in NLED Scenario
  50. Branch Structure and Non-Extensive Thermodynamics of Kalb-Ramond-ModMax Black Holes: Observational Signatures
  51. Astrophysical Signatures of Einstein-Skyrme Anti-de Sitter Black Holes: Epicyclic Frequencies and QPO Constraints
  52. Spherically Symmetric Quantum-Corrected Black Holes with String Clouds: A Multi-Observable Analysis
  53. Astrophysical signatures of black holes in beta dark matter halos: QPO constraints from X-ray binaries, shadow, accretion, and thermal radiation
  54. Is the Li Time-Machine Metric Valid in f (R, L m , Φ, g µν ∇ µ Φ∇ ν Φ) Gravity?
  55. Massless scalar, electromagnetic and Dirac perturbations of a Kalb-Ramond black hole coupled to nonlinear electrodynamics
  56. Plummer Dark Matter Black Hole with Topological Defects: Shadow, Greybody Factors, Quasinormal Modes, and Thermodynamics
  57. Spherically Symmetric Quantum-Corrected Black Holes with String Clouds: A Multi-Observable Analysis
  58. Astrophysical signatures of Kerr–Bertotti–Robinson black holes in a cloud of strings: ISCO,microquasar QPOs, and Bondi–Hoyle–Lyttleton accretion
  59. Gravitational lensing as optical refraction: a cantilever-inspired method for rotating and deficit black holes
  60. Letelier Black Holes Immersed in a Chaplygin-like Dark Fluid Environment
  61. Traversable Wormhole in Metric-Affine Bumblebee Gravity: Geometry, Energy Conditions, Quasinormal Modes, and Lensing Observables
  62. Probing the Charged Hayward Black Hole in Dark Matter and String Cloud Environments through Shadow, Geodesics, and Quasinormal Spectrum
  63. Astrophysical Signatures of Black Holes in Beta Dark Matter Halos: QPO Constraints from X-ray Binaries, Shadow, Accretion, and Thermal Radiation
  64. Dirac Quasinormal Spectra and Quality-factor Analysis with GUP-corrections in Noncommutative Kiselev Spacetimes with Quintessence
  65. Kerr-Bertotti-Robinson Black Holes Surrounded by a Cloud of Strings
  66. Optical stealth and spectroscopic sensitivity of minimally deformed Schwarzschild black holes sourced by scalar–vector fields
  67. Shadow, Photon Ring, and Emission Spectra of Letelier Black Holes in Electromagnetic Backgrounds: Implications for Observations
  68. Thermodynamic topology, van der Waals criticality and Joule–Thomson inversion in charged AdS black holes with a Lorentz-violating Kalb–Ramond background
  69. An exact dyonic black hole at the integrable locus of quadratic nonlinear electrodynamics
  70. An exact dyonic black hole at the integrable locus of quadratic nonlinear electrodynamics
  71. Traversable Wormhole in Metric-Affine Bumblebee Gravity: Geometry, Energy Conditions, Quasinormal Modes, and Lensing Observables
  72. Quantum-corrected thermodynamics and plasma lensing in non-minimally coupled symmetric teleparallel black holes
  73. Particle dynamics and thermal properties in Kalb–Ramond ModMax black holes: Theoretical predictions for observational tests of exotic physics
  74. Tidal deformability of dark energy stars in gravity’s rainbow
  75. Regular magnetically charged black holes from nonlinear electrodynamics: Thermodynamics, light deflection, and orbital dynamics
  76. AdS-Schwarzschild-like black hole thermodynamics: Loop quantum gravity impact on topology and universality
  77. Thermodynamic scalar curvature and topological classification in accelerating charged AdS black holes under rainbow gravity
  78. Gravitational Lensing, Wave Propagation, and GUP-Modified Hawking Radiation in Charged Bopp-Podolsky BTZ Black Holes with Disclinations
  79. Zitterbewegung Oscillations and GUP-Induced Quantum Modifications of Yang-Mills Black Holes in Perfect Fluid Dark Matter
  80. Perturbations and modified hawking radiation in cylindrical black holes within f(ℛ) and Ricci-Inverse gravity theories
  81. Schwarzschild-like AdS BH with a cloud of strings within LQG: Geodesic motions, Regge–Wheeler potential and thermodynamics
  82. Weak gravity conjecture in ModMax black holes: weak cosmic censorship and photon sphere analysis
  83. Astrophysical Signatures of Konoplya-Zhidenko Black Holes: Gravitational Lensing and Thermodynamics
  84. Thermodynamic topology, photon spheres, and evidence for weak gravity conjecture in charged black holes with perfect fluid within Rastall theory
  85. Optical Properties and QPOs in AdS Black Holes with a Cloud of Strings and Quintessence-like Field in NLED Scenario
  86. Dark Matter Admixed Quark Stars in Gravity’s Rainbow Framework: A Feasibility Study Based on Observational Data
  87. Topological thermodynamics and observable signatures of charged black holes in modified gravity
  88. Geometric, thermodynamic and perturbative properties of Frolov black holes surrounded by a cloud of strings and a global monopole
  89. Erratum to: Information theoretical approach to detecting quantum gravitational corrections
  90. Charged regular black holes in quantum gravity: from thermodynamic stability to observational phenomena
  91. Observable signatures of black hole with Hernquist dark matter halo having a cloud of strings: geodesic, perturbations, and shadow
  92. Photon spheres, gravitational lensing/mirroring, and greybody radiation in deformed AdS-Schwarzschild black holes with phantom global monopole
  93. Probing Starobinsky-Bel-Robinson gravity: Gravitational lensing, thermodynamics, and orbital dynamics
  94. Scalar-tensor corrections and observational signatures of hairy black holes in Horndeski gravity
  95. AdS black holes in Einstein-Kalb-Ramond gravity: Quantum corrections, phase transitions, and orbital dynamics
  96. Thermodynamic fingerprints of quantum gravity: Bose gas analysis near string-cloud black holes
  97. Dynamics of test particles and scalar perturbation around an Ayón–Beato–García black hole coupled with a cloud of strings
  98. Effective quantum gravity black hole with cloud of strings surrounded by quintessence field
  99. Exploring geodesics, quantum fields and thermodynamics of Schwarzschild-AdS black hole with a global monopole in non-commutative geometry
  100. Astrophysical reality of black hole thermodynamics and dynamics: Transformative influence of Hernquist dark matter distributions
  101. Quantum-corrected thermodynamics and plasma lensing of MOG black holes
  102. Impact of Loop Quantum Gravity on the Topological Classification of Quantum-Corrected Black Holes
  103. Quantum-modified Regge–Wheeler formalism for black holes with phantom global monopoles: Potential profiles and Quasinormal modes
  104. Analysis of geometric, scalar field, and thermodynamic properties of Hayward-like AdS black holes with phantom global monopoles
  105. White dwarfs in regularized 4D Einstein-Gauss-Bonnet gravity
  106. Some observable physical properties of Finslerian Hayward-like black hole with global monopole charge and quintessence field
  107. Dunkl black hole with phantom global monopoles: geodesic analysis, thermodynamics and shadow
  108. Quantum Corrections in Thermodynamics of Black Holes Modified by Nonlinear Electrodynamics and Their Observational Signatures
  109. Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes
  110. Lorentz-symmetry violation in charged black-hole thermodynamics and gravitational lensing: effects of the Kalb-Ramond field
  111. AdS black strings in a cosmic web: geodesics, shadows, and thermodynamics
  112. Quantum Tunneling and Aschenbach Effect in Nonlinear Einstein-Power-Yang-Mills AdS Black Holes
  113. Gravitational lensing phenomena of Ellis-Bronnikov-Morris-Thorne wormhole with global monopole and cosmic string
  114. Motions of test particles in gravitational field, perturbations and greybody factor of Bardeen-like AdS black hole with phantom global monopoles
  115. Probing quantum gravity effects: Geodesic structure and thermodynamics of deformed Schwarzschild AdS black holes surrounded by cosmic strings
  116. The effect of pressure anisotropy on quark stars structure in the Starobinsky model
  117. Transport phenomena and KSS bound in quantum-corrected AdS black holes
  118. Thermodynamic topology and phase space analysis of AdS black holes through non-extensive entropy perspectives
  119. Exploring Lorentz-violating effects of Kalb-Ramond field on charged black hole thermodynamics and photon dynamics
  120. Anisotropic dark matter stars in gravity’s rainbow
  121. Thermodynamics and phase transition of anti de Sitter black holes with ModMax nonlinear electrodynamics and perfect fluid dark matter
  122. Thermal fluctuation effects on shear viscosity to entropy ratio in five-dimensional Kerr–Newman black holes
  123. Information theoretical approach to detecting quantum gravitational corrections
  124. The Static Charged Black Holes with Weyl Corrections
  125. Higher-order corrections on the denaturation of homogeneous DNA thermodynamics
  126. Dynamics of particles surrounding a stationary, spherically-symmetric black hole with Nonlinear Electrodynamics
  127. Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks
  128. Anisotropic quark stars in gravity*
  129. White paper and roadmap for quantum gravity phenomenology in the multi-messenger era
  130. Quark stars in f(R, T) gravity: mass-to-radius profiles and observational data
  131. Dynamics, Quasi-Periodic Oscillations, and Thermodynamic Phase Structure of Schwarzschild-Asymptotic-Magnetic Black Holes in Confining Nonlinear-Electrodynamics
  132. Review Article: Integral Role of Physics in Advancing Pharmacy Education and Research
  133. Properties of interacting quark star in light of Rastall gravity
  134. Behaviors of quark stars in the Rainbow Gravity framework
  135. Interacting quark star with pressure anisotropy and recent astrophysical observations
  136. Stabilizing effects of higher-order quantum corrections on charged BTZ black hole thermodynamics
  137. Geodesics structure and deflection angle of electrically charged black holes in gravity with a background Kalb–Ramond field
  138. Quark stars in Rastall gravity with recent astrophysical observations
  139. Weak gravity conjecture of charged-rotating-AdS black hole surrounded by quintessence and string cloud
  140. Exploring non-perturbative corrections in thermodynamics of static dirty black holes
  141. Non-perturbative correction on the black hole geometry
  142. On thermal fluctuations and quantum regularities of F ( R ...
  143. GUP-Modified Thermodynamics of Bose Gas Near String Cloud Black Hole
  144. Stabilizing Effects of Higher-Order Quantum Corrections on Charged BTZ Black Hole Thermodynamics
  145. Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
  146. Modified Hawking radiation of Schwarzschild-like black hole in bumblebee gravity model
  147. Quantum thermodynamics of an Reissner-Nordström black hole
  148. GUP-reinforced Hawking radiation in rotating linear dilaton black hole spacetime
  149. Modified Hawking radiation of Schwarzschild-like black hole in bumblebee gravity model
  150. Some observable physical properties of the higher dimensional dS/AdS black holes in Einstein-bumblebee gravity theory
  151. de Sitter swampland conjecture in string field inflation
  152. Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
  153. Fermionic and bosonic greybody factors as well as quasinormal modes for charged Taub NUT black holes
  154. Superradiant (In)stability, Greybody Radiation, and Quasinormal Modes of Rotating Black Holes in Non-Linear Maxwell f(R) Gravity
  155. Quasinormal modes of extended gravity black holes through higher order WKB method
  156. Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes
  157. Gravitational lensing in Kerr–Newman anti de Sitter spacetime
  158. Exponential corrected thermodynamics of Born–Infeld BTZ black holes in massive gravity
  159. Non-perturbative correction to the Hořava–Lifshitz black hole thermodynamics
  160. Thermodynamics and Phase Transition of Gravitational Global and Local Monopole
  161. Modified cosmic Chaplygin AdS black hole
  162. Physical properties of brane-world black hole solutions via a confining potential
  163. Quasinormal Modes of AdS Black Strings
  164. Greybody radiation of scalar and Dirac perturbations of NUT black holes
  165. Reply to “Comment on ‘Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model”’
  166. Topical Review: greybody factors and quasinormal modes for black holes invarious theories - fingerprints of invisibles
  167. GUP-modified Hawking radiation and transmission/reflection coefficients of rotating polytropic black hole
  168. Quasinormal modes of dS and AdS black holes: Feedforward neural network method
  169. Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model
  170. Fermion tunneling, instability, and first law of Rindler modified Schwarzschild black hole as a thermodynamic system
  171. Quasinormal modes of charged fermions in linear dilaton black hole spacetime: Exact frequencies
  172. Holographic dissipative properties of non-relativistic black branes with hyperscaling violation
  173. Greybody factors of black holes in dRGT massive gravity coupled with nonlinear electrodynamics
  174. Effect of null aether field on weak deflection angle of black holes
  175. Testing generalized Einstein-Cartan-Kibble-Sciama gravity using weak deflection angle and shadow cast
  176. PV criticality of Achucarro–Ortiz black hole in the presence of higher-order quantum and GUP corrections
  177. Fermion Clouds Around z = 0 Lifshitz Black Holes
  178. Shadow cast of noncommutative black holes in Rastall gravity
  179. Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity Using Weak Deflection Angle and Shadow Cast
  180. Greybody factors of holographic superconductors with $$z=2$$ Lifshitz scaling
  181. Hawking radiation via Gauss–Bonnet theorem
  182. Effect of quintessence on geodesics and Hawking radiation of Schwarzschild black hole
  183. Solution of Dirac equation and greybody radiation around a regular Bardeen black hole surrounded by quintessence
  184. Quantum tunneling of fermions from Grumiller black hole
  185. Weak gravitational lensing by Kerr-MOG black hole and Gauss–Bonnet theorem
  186. Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects
  187. GUP modified Hawking radiation in bumblebee gravity
  188. Linear stability of Mandal–Sengupta–Wadia black holes
  189. Hawking Radiation of Relativistic Particles from Black Strings
  190. Exact traversable wormhole solution in bumblebee gravity
  191. Preface to “Mathematical Methods in Physics”
  192. Resonant frequencies of linear dilaton black holes in Einstein-Maxwell-Dilaton gravity
  193. Spectroscopy of stringy black hole
  194. Absorption Cross Section and Decay Rate of Dilatonic Black Strings
  195. Gravitational lensing under the effect of Weyl and bumblebee gravities: Applications of Gauss–Bonnet theorem
  196. Shadow cast and deflection angle of Kerr-Newman-Kasuya spacetime
  197. Analytical solutions in a cosmic string Born–Infeld-dilaton black hole geometry: quasinormal modes and quantization
  198. Quasinormal modes of a Schwarzschild black hole immersed in an electromagnetic universe
  199. Spectroscopy of z=0 Lifshitz Black Hole
  200. Black Holes: Insights and Enigmas
  201. Dirac and Klein–Gordon–Fock equations in Grumiller’s spacetime
  202. Quantum tunneling and quasinormal modes in the spacetime of the Alcubierre warp drive
  203. Eruptive Massive Vector Particles of 5-Dimensional Kerr-Gödel Spacetime
  204. Effect of Lorentz symmetry breaking on the deflection of light in a cosmic string spacetime
  205. Hawking radiation and deflection of light from Rindler modified Schwarzschild black hole
  206. Stationary scalar clouds around maximally rotating linear dilaton black holes
  207. A particular thin-shell wormhole
  208. Об одной кротовой норе с тонкой оболочкой
  209. Analytical solutions in rotating linear dilaton black holes: Resonant frequencies, quantization, greybody factor, and Hawking radiation
  210. GUP assisted Hawking radiation of rotating acoustic black holes
  211. Hawking Radiation of Mass Generating Particles from Dyonic Reissner–Nordström Black Hole
  212. Quantum tunneling from rotating black holes with scalar hair in three dimensions
  213. Black hole radiation of massive spin-2 particles in (3+1) dimensions
  214. Hawking radiation of non-asymptotically flat rotating black holes
  215. Hawking radiation of massive vector particles from a warped AdS 3 black hole
  216. Absorption cross-section and decay rate of rotating linear dilaton black holes
  217. Spectroscopy of rotating linear dilaton black holes from boxed quasinormal modes
  218. Exact solutions to the geodesic equations of linear dilaton black holes
  219. Quantum tunneling of massive spin-1 particles from non-stationary metrics
  220. Hawking radiation of spin-1 particles from a three-dimensional rotating hairy black hole
  221. Gravitinos tunneling from traversable Lorentzian wormholes
  222. Tunnelling of vector particles from Lorentzian wormholes in 3+1 dimensions
  223. Erratum to: Fading Hawking radiation
  224. Quantization of rotating linear dilaton black holes
  225. Uninformed Hawking radiation
  226. Resonance Spectra of Caged Stringy Black Hole and Its Spectroscopy
  227. Gravitational lensing effect on the Hawking radiation of dyonic black holes
  228. Hawking Radiation of Grumiller Black Hole
  229. Spectroscopy of Rindler modified Schwarzschild black hole
  230. Effect of the refractive index on the hawking temperature: an application of the Hamilton-Jacobi method
  231. QUASINORMAL MODES OF CHARGED DILATON BLACK HOLES AND THEIR ENTROPY SPECTRA
  232. ERRATUM: "QUANTIZATION OF HIGHER-DIMENSIONAL LINEAR DILATON BLACK HOLE AREA/ENTROPY FROM QUASINORMAL MODES"
  233. Effect of the cosmological constant in the Hawking radiation of 3D charged dilaton black hole
  234. Fading Hawking radiation
  235. Chaos in Kundt Type-III Spacetimes
  236. QUANTIZATION OF HIGHER-DIMENSIONAL LINEAR DILATON BLACK HOLE AREA/ENTROPY FROM QUASINORMAL MODES
  237. Entropy Conservation of Linear Dilaton Black Holes in Quantum Corrected Hawking Radiation
  238. Dilatonic Entropic Force
  239. Dilatonic interpolation between Reissner–Nordström and Bertotti–Robinson spacetimes with physical consequences
  240. Hawking Radiation of Linear Dilaton Black Holes in Various Theories
  241. Exact solutions to a massive charged scalar field equation in the magnetically charged stringy black-hole geometry and Hawking radiation
  242. Effect of the Born–Infeld parameter in higher dimensional Hawking radiation
  243. Solution of the Dirac equation in the rotating Bertotti–Robinson spacetime
  244. Chaos in electrovac and non-Abelian plane wave spacetimes
  245. Solution of the Dirac equation in the near horizon geometry of an extreme Kerr black hole
  246. New Singular and Nonsingular Colliding Wave Solutions in Einstein-Maxwell-Scalar Theory
  247. The Dirac Equation in the Bertotti-Robinson Space-Time
  248. Collision of electromagnetic shock waves coupled with axion waves: an example