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PreprintCC BY 4.0arXiv

Rotating Black Holes and the Kerr/CFT Correspondence in Einstein-Bumblebee Gravity

Abstract

We constructed rotating black holes with equal angular momentum in five dimensional Einstein-Bumblebee gravity with and without cosmological constant. Their thermodynamic properties are examined via two distinct methods: the Wald formalism and the Komar integral. Notably, the conserved charges, including mass, angular momentum, and entropy, computed from these two approaches differ by a constant prefactor that is solely determined by the Bumblebee coupling. Subsequently, we apply the Kerr/CFT correspondence to derive the microscopic entropy of these black holes and find that it precisely reproduces the entropy in Komar-integral version, rather than the Wald entropy.

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BibTeX
@misc{chen2026rotating,
  title = {{Rotating Black Holes and the Kerr/CFT Correspondence in Einstein-Bumblebee Gravity}},
  author = {Yu-Qi chen and Jin-Yang Shen and Hai-Shan Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.01884},
  eprint = {2607.01884},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.01884},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Rotating Black Holes and the Kerr/CFT Correspondence in Einstein-Bumblebee Gravity
AU  - Yu-Qi chen
AU  - Jin-Yang Shen
AU  - Hai-Shan Liu
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2607.01884
UR  - https://arxiv.org/abs/2607.01884
AB  - We constructed rotating black holes with equal angular momentum in five dimensional Einstein-Bumblebee gravity with and without cosmological constant. Their thermodynamic properties are examined via two distinct methods: the Wald formalism and the Komar integral. Notably, the conserved charges, including mass, angular momentum, and entropy, computed from these two approaches differ by a constant prefactor that is solely determined by the Bumblebee coupling. Subsequently, we apply the Kerr/CFT correspondence to derive the microscopic entropy of these black holes and find that it precisely reproduces the entropy in Komar-integral version, rather than the Wald entropy.
ER  -