2026/07/17 by Behzad Eslam Panah, Abdullah Guvendi, Abdullah Güvendi +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Bumblebee #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Symmetry (geometry) #Symmetry breaking #gr-qc
paper · pdf · doi:10.1016/j.cjph.2026.07.024
published in Chinese Journal of Physics 103, 1698-1713 (Elsevier BV)
arxiv created 2026/07/17 · openalex publication_date 2026/07/18 · openalex created_date 2026/07/19 · arxiv updated 2026/08/03 · openalex updated_date 2026/08/05
We investigate the impact of spontaneous Lorentz symmetry breaking on scalar wave propagation, null geodesics, and thermodynamic behavior of four-dimensional asymptotically AdS black holes in bumblebee gravity. The static, spherically symmetric solutions are characterized by a dimensionless parameter ℓ > -1 arising from the vacuum expectation value of the bumblebee vector field, which globally rescales the radial geometry. Massless scalar fields are analyzed via the radial Klein--Gordon equation cast into a generalized Helmholtz form, yielding an effective frequency-dependent refractive index that identifies oscillatory and evanescent regions, classical turning points, and confinement induced by curvature and Lorentz violation. In the high-frequency limit, wave propagation coincides with null geodesics, with ℓ controlling radial scaling and governing the geometric-optics limit. The AdS boundary reflects waves, while the horizon acts as a one-way absorber. Thermodynamic analysis in non-extended and extended phase spaces confirms the first law and Smarr relation, with ℓ influencing heat capacity, free energy, and stability. \textcolorblackModeling these black holes as heat engines, we construct explicit cycles and show that efficiency increases with ℓ, leading to an upper bound imposed by η≤ 1. Our results provide a framework connecting Lorentz violation, wave propagation, geometric optics, and AdS black hole thermodynamics in bumblebee gravity.