Large D membrane for Higher Derivative Gravity and Black Hole Second Law

Autor:	Dandekar, Yogesh, Saha, Arunabha
Rok vydání:	2019
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP02(2020)083
Popis:	We derive the effective equations of the membranes dual to black holes in a particular theory of higher derivative gravity namely Einstein-Gauss-Bonnet (EGB) gravity at sub-leading order in $1/D$ upto linear order in the Gauss-Bonnet (GB) parameter $\beta$. We find an expression for an entropy current which satisfies a local version of second law onshell in this regime. We also derive the membrane equations upto leading order in $1/D$ but non-perturbatively in $\beta$ for EGB gravity. In this regime we write down an expression for a world-volume stress tensor of the membrane and also work out the effective membrane equation for stationary black holes. Comment: 35 pages. v2: references added, minor modifications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.10964 Zobrazit plný text záznamu View this record from Arxiv