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

  • Arunabha SahaEmail author
Open Access
Regular Article - Theoretical Physics


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.


Black Holes Classical Theories of Gravity 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.University of GenevaGeneve 4Switzerland
  2. 2.Department of Theoretical PhysicsTata Institute of Fundamental ResearchMumbaiIndia

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