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arXiv · 1910.10964

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

Yogesh Dandekar·Arunabha Saha
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Abstract

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 $β$. 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 $β$ 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.

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Yogesh Dandekar, Arunabha Saha. 2019-11-08. Large D membrane for Higher Derivative Gravity and Black Hole Second Law. https://doi.org/10.1007/jhep02(2020)083

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