The large D membrane paradigm for Einstein-Gauss-Bonnet gravity

Saha, Arunabha (0000 0001 2322 4988, University of Geneva, 24 quai Ernest-Ansermet, 1211, Geneve 4, Switzerland) (0000 0004 0502 9283, Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India)

04 January 2019

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 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.


Published in: JHEP 1901 (2019) 028
Published by: Springer/SISSA
DOI: 10.1007/JHEP01(2019)028
arXiv: 1806.05201
License: CC-BY-4.0



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