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gttgrr=−1 black hole thermodynamics in general quasitopological gravity

Johanna Borissova*

  • *Contact author: j.borissova@imperial.ac.uk
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Phys. Rev. D 114, 064038 – Published 8 September, 2026

DOI: https://doi.org/10.1103/gbdk-xm4c

Abstract

We present a unified framework for the discussion of black hole thermodynamics of d-dimensional static black holes with spherical or compact hyperbolic horizon topology satisfying gttgrr=−1 in Schwarzschild gauge. To that end, we consider any such black hole as a solution to an integrable two-dimensional effective dilaton theory and thereby as a vacuum solution to a generalized notion of d-dimensional quasitopological gravity. We show that the generating function determining f(r)=−gtt in the integrated equation of motion provides the thermodynamic mass in a generalized first law with entropy computed as the Wald entropy. The framework presented here can be applied to singular and regular black holes with flat or anti–de Sitter asymptotics.

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10 September, 2026

Correction: A typographical error in the title has been fixed.

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Phys. Rev. D 114, 064038– Published 8 September, 2026
  • Received 29 April 2026
  • Accepted 24 August 2026
  • Corrected 10 September 2026
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