Membrane Paradigm and Horizon Thermodynamics in Lanczos-Lovelock gravity

Дата и время публикации : 2011-11-04T20:19:08Z

Авторы публикации и институты :
Sanved Kolekar
Dawood Kothawala

Ссылка на журнал-издание: JHEP 1202 (2012) 006
Коментарии к cтатье: 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
Первичная категория: gr-qc

Все категории : gr-qc, astro-ph.CO, hep-th

Краткий обзор статьи: 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.

Category: Physics