Holographic description of RN-like black hole in bumblebee gravity
Abstract
We study the holographic description of the RN-like black hole in bumblebee gravity, which is a vector-tensor theory with spontaneous Lorentz violation. By combining the first laws of the outer and inner horizons, the thermodynamics method yields the right- and left-moving entropies, temperatures, and chemical potentials of the dual two-dimensional conformal field theory (CFT), determines the central charges from the mass-independent entropy product, and reproduces the outer and inner horizon entropies through the Cardy formula. An independent dynamical test based on the hidden conformal symmetry of a charged scalar probe confirms these results. A central outcome is the equality of the right- and left-moving central charges, cR=cL, which we trace to the spontaneous character of Lorentz breaking. Because the action of bumblebee gravity preserves diffeomorphism and local Lorentz invariance, and the symmetry is broken only by a vector vacuum expectation value, no chirally asymmetric structure arises in the dual theory, in sharp contrast to topologically massive gravity in (2+1) dimensions. All CFT data depend smoothly on the Lorentz-violating parameter and reduce to the known RN results when Lorentz violation is switched off.
Related
- Acoustic Schwarzschild-like black hole and analogous Hawking radiation in Einstein-bumblebee gravity
- Exact black hole solutions in bumblebee gravity with lightlike or spacelike VEVs
- Exact Regular Planar Black Holes solutions in Bumblebee gravity
- Rotating Black Holes and the Kerr/CFT Correspondence in Einstein-Bumblebee Gravity
- Born-Infeld black holes in bumblebee gravity
BibTeX
@misc{zhang2026holographic,
title = {{Holographic description of RN-like black hole in bumblebee gravity}},
author = {Jian-Peng Zhang and Bin Chen and Jiaju Zhang and Yu Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25530},
eprint = {2609.25530},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25530},
}
RIS
TY - UNPB
TI - Holographic description of RN-like black hole in bumblebee gravity
AU - Jian-Peng Zhang
AU - Bin Chen
AU - Jiaju Zhang
AU - Yu Zhang
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.25530
UR - https://arxiv.org/abs/2609.25530
AB - We study the holographic description of the RN-like black hole in bumblebee gravity, which is a vector-tensor theory with spontaneous Lorentz violation. By combining the first laws of the outer and inner horizons, the thermodynamics method yields the right- and left-moving entropies, temperatures, and chemical potentials of the dual two-dimensional conformal field theory (CFT), determines the central charges from the mass-independent entropy product, and reproduces the outer and inner horizon entropies through the Cardy formula. An independent dynamical test based on the hidden conformal symmetry of a charged scalar probe confirms these results. A central outcome is the equality of the right- and left-moving central charges, c_R=c_L, which we trace to the spontaneous character of Lorentz breaking. Because the action of bumblebee gravity preserves diffeomorphism and local Lorentz invariance, and the symmetry is broken only by a vector vacuum expectation value, no chirally asymmetric structure arises in the dual theory, in sharp contrast to topologically massive gravity in (2+1) dimensions. All CFT data depend smoothly on the Lorentz-violating parameter and reduce to the known RN results when Lorentz violation is switched off.
ER -