Black hole thermodynamics is around the corner
Abstract
Abstract We propose to work on the Euclidean black hole solution with a corner rather than with the prevalent conical singularity. As a result, we find that the Wald formula for black hole entropy can be readily obtained for generic F ( R a b c d ) gravity by using both the action without the corner term and the action with the corner term due to their equivalence to the first order variation. With such an equivalence, we further make use of a special diffeomorphism to accomplish a direct derivation of the Arnowitt–Deser–Misner Hamiltonian conjugate to the Killing vector field normal to the horizon in the Lorentz signature as a conjugate variable of the inverse temperature in the grand canonical ensemble.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Noncommutative and Quantum Gravity Theories
Cosmology and Gravitation Theories
Publication details
- Journal / source
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Volume
- 43
- Issue
- 11
- Pages
- 115011–115011
- Publication date
- 8 April 2026
- Language
- EN