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Large D membrane for higher derivative gravity and black hole second law

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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.

A preprint version of the article is available at ArXiv.


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Correspondence to Yogesh Dandekar.

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ArXiv ePrint: 1910.10964

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Dandekar, Y., Saha, A. Large D membrane for higher derivative gravity and black hole second law. J. High Energ. Phys. 2020, 83 (2020). https://doi.org/10.1007/JHEP02(2020)083

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  • Black Holes
  • Classical Theories of Gravity