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PreprintCC BY 4.0arXiv

Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity

Abstract

We study the one-loop correction to the entropy of near-extremal black holes in three-dimensional massive gravity at the special point where the theory exhibits a unique maximally symmetric vacuum and non-constant curvature hairy black holes can achieve extremality even in the static case. Focusing on the near-horizon AdS2× S1 geometry, we evaluate the contribution of boundary graviton modes that become exact zero modes in the extremal limit. We show that the resulting one-loop partition function generates logarithmic corrections to the semiclassical entropy, providing a new extension to higher-curvature gravity of what has been recently obtained for near-extremal black holes in General Relativity.

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BibTeX
@misc{acito2026logarithmic,
  title = {{Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity}},
  author = {Lucas Acito and Mariano Chernicoff and Julio Oliva and Cielo Ramirez de Arellano Torres and Matías Sempe},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.13546},
  eprint = {2606.13546},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.13546},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity
AU  - Lucas Acito
AU  - Mariano Chernicoff
AU  - Julio Oliva
AU  - Cielo Ramirez de Arellano Torres
AU  - Matías Sempe
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2606.13546
UR  - https://arxiv.org/abs/2606.13546
AB  - We study the one-loop correction to the entropy of near-extremal black holes in three-dimensional massive gravity at the special point where the theory exhibits a unique maximally symmetric vacuum and non-constant curvature hairy black holes can achieve extremality even in the static case. Focusing on the near-horizon AdS_2× S^1 geometry, we evaluate the contribution of boundary graviton modes that become exact zero modes in the extremal limit. We show that the resulting one-loop partition function generates logarithmic corrections to the semiclassical entropy, providing a new extension to higher-curvature gravity of what has been recently obtained for near-extremal black holes in General Relativity.
ER  -