Generalized Second Law for Non-minimally Coupled Matter Theories

Autor:	Dhivakar, Prateksh, Jalan, Krishna
Rok vydání:	2023
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6382/ad589e
Popis:	We prove the generalized second law (GSL) for higher curvature gravity theories when the matter sector is non-minimally coupled. The validity of our proof is in the regime of linearized fluctuations about equilibrium black holes, which is the same regime as considered in the previous proofs by Wall and Sarkar. These proofs were provided in different gravity theories - for instance, Lovelock theory and higher curvature gravity - but the matter sector was always taken to be minimally coupled. In this article, we describe how to generalize the proof of linearized semi-classical GSL when the matter sector comes with non-minimal couplings. The proof proceeds by suitably evaluating the matter path integral in the stress tensor expectation value by treating the higher derivative couplings in an effective field theory setting. We use the recently established result of the linearized second law for such theories. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.12782 Zobrazit plný text záznamu View this record from Arxiv