Membrane Paradigm and Horizon Thermodynamics in Lanczos-Lovelock gravity
Abstract
We study the membrane paradigm for horizons in Lanczos-Lovelock models of gravity in arbitrary D dimensions and find compact expressions for the pressure p and viscosity coefficients \eta and \zeta of the membrane fluid. We show that the membrane pressure is intimately connected with the Noether charge entropy S_Wald of the horizon when we consider a specific m-th order Lanczos-Lovelock model, through the relation pA/T=(D-2m)/(D-2)S_Wald, where T is the temperature and A is the area of the horizon. Similarly, the viscosity coefficients are expressible in terms of entropy and quasi-local energy associated with the horizons. The bulk and shear viscosity coefficients are found to obey the relation \zeta=-2(D-3)/(D-2)\eta.
Keywords
Cite
@article{arxiv.1111.1242,
title = {Membrane Paradigm and Horizon Thermodynamics in Lanczos-Lovelock gravity},
author = {Sanved Kolekar and Dawood Kothawala},
journal= {arXiv preprint arXiv:1111.1242},
year = {2012}
}
Comments
v1: 13 pages, no figure. (v2): refs added, typos corrected, new subsection added on the ratio \eta/s. (v3): some clarification added, typos corrected, to appear in JHEP