The large D Membrane Paradigm For Einstein-Gauss-Bonnet Gravity

TL;DR

This paper develops a membrane paradigm for black holes in Einstein-Gauss-Bonnet gravity at large D, deriving equations of motion, solutions, and spectra of perturbations to understand black hole dynamics in this modified gravity theory.

Contribution

It introduces a membrane-based framework for Einstein-Gauss-Bonnet gravity at large D, including equations of motion, solutions, and perturbation spectra, to analyze black hole behavior.

Findings

Derived membrane equations of motion in EGB gravity.

Obtained metric solutions to first subleading order in 1/D.

Calculated the quasi-normal mode spectrum of static black holes.

Abstract

We find the equations of motion of membranes dual to the black holes in Einstein-Gauss-Bonnet (EGB) gravity to leading order in 1/D in the large D regime. We also find the metric solutions to the EGB equations to first subleading order in 1/D in terms of membrane variables. We propose a world volume stress tensor for the membrane whose conservation equations are equivalent to the leading order membrane equations. We also work out the light quasi-normal mode spectrum of static black holes in EGB gravity from the linearised fluctuations of static, round membranes. Also, the effective equations for stationary black holes and the spectrum of linearised spectrum about black string configurations has been obtained using the membrane equation for EGB gravity.All our results are worked out to linear order in the Gauss-Bonnet parameter.