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Logarithmic corrections to thermodynamics of accelerating black holes

Jianfei Xu*

  • *Contact author: jfxu@seu.edu.cn
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Phys. Rev. D 113, 026014 – Published 20 January, 2026

DOI: https://doi.org/10.1103/zcs5-mxr5

Abstract

As pointed out in recent research, the near extremal black hole entropy with one-loop effect exhibits universal logT behavior at sufficiently low temperature. In this paper, we discuss the low-temperature quantum corrections to the thermodynamics of four-dimensional accelerating black holes with rotation and charges by using the method of Euclidean path integral. The one-loop path integral for the black hole thermal partition function near extremality is dominated by zero modes defined with respect to the extremal background. For the accelerating black holes without rotation, the near horizon extremal geometry is a direct product of two dimensional anti-de Sitter space (AdS2) and two sphere (S2) with warping factors, and the gravitational zero modes contain both tensor and vector types, with the respective contributions to the near extremal black hole entropy being (3/2)logT and (1/2)logT. While in the presence of rotation, the near horizon extremal geometry is a warped and twisted product of AdS2 and S2 and the gravitational vector modes are absent. For the accelerating black holes with charges, we also consider the one-loop path integral of the gauge field, where the photon zero modes are found to contribute an additional (1/2)logT term to the near extremal black hole entropy.

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Phys. Rev. D 113, 026014– Published 20 January, 2026
  • Received 29 October 2025
  • Accepted 2 January 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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