Reloading Black Hole Thermodynamics with Noether Charges

Autor: Golshani, M., Sheikh-Jabbari, M. M., Taghiloo, V., Vahidinia, M. H.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: It is well-established that black holes obey laws of thermodynamics, in particular, there is the seminal Iyer-Wald derivation of the first law of thermodynamics for any stationary black hole solution of a generic diffeomorphism invariant theory of gravity. We revisit Iyer-Wald derivation within the framework of covariant phase space with fluctuating boundaries. We extend Iyer-Wald derivation by relaxing the need for the assumptions at a bifurcation surface and asymptotic infinity, as well as addressing the questions regarding the integrability of charges. Along the way, we also shed a clarifying light on the longstanding question of defining covariant charges in general relativity and present a first principles derivation of the Smarr relation within our framework.
Comment: 8 pages, 3 figures
Databáze: arXiv