Gravitational thermodynamics and universal holographic duality in dynamical spacetimes
Abstract
We construct a generalized Smarr formula which could provide a thermodynamic route to derive the covariant field equation of general theories of gravity in dynamic spacetimes. Combining some thermodynamic variables and a new chemical potential conjugated to the number of degree of freedom on the holographic screen, we find a universal Cardy-Verlinde formula and give its braneworld interpretation. We demonstrate that the associated AdS-Bekenstein bound is tighten than the previous expression for multi-charge black holes in the gauged supergravities. The Cardy-Verlinde formula and the AdS-Bekenstein bound are derived from the thermodynamics of bulk trapping horizons, which strongly suggests the underlying holographic duality between dynamical bulk spacetime and boundary field theory.
Keywords
Cite
@article{arxiv.1109.0193,
title = {Gravitational thermodynamics and universal holographic duality in dynamical spacetimes},
author = {Shao-Feng Wu and Bin Wang and Xian-Hui Ge and Guo-Hong Yang},
journal= {arXiv preprint arXiv:1109.0193},
year = {2012}
}
Comments
30 pages; presentation improved, clarifications and references added