1109.0193 (Shao-Feng Wu et al.)

Gravitational thermodynamics and universal holographic duality in
dynamical spacetimes    [PDF]

Shao-Feng Wu, Bin Wang, Xian-Hui Ge, Guo-Hong Yang

We construct a general Smarr formula which provides a possible thermodynamic route to derive the covariant field equation of general theories of gravity in dynamic spacetimes. Using a new free energy 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 supergravity. The Cardy-Verlinde formula and the AdS Bekenstein bound are applicable to the dynamical spacetime, which suggests the underlying holographic duality between dynamical bulk spacetime and boundary field theory.

View original: http://arxiv.org/abs/1109.0193