Area evolution, bulk viscosity and entropy principles for dynamical horizons

Details Area evolution, bulk viscosity and entropy principles for dynamical horizons Area evolution, bulk viscosity and entropy principles for dynamical horizons

2006-07-12

arxiv.org/abs/gr-qc/0607050v2

Phys.Rev. D74 (2006) 087502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Some references added, 5 pages, Phys. Rev. D, in press

Scientific paper

10.1103/PhysRevD.74.087502

We derive from Einstein equation an evolution law for the area of a trapping or dynamical horizon. The solutions to this differential equation show a causal behavior. Moreover, in a viscous fluid analogy, the equation can be interpreted as an energy balance law, yielding to a positive bulk viscosity. These two features contrast with the event horizon case, where the non-causal evolution of the area and the negative bulk viscosity require teleological boundary conditions. This reflects the local character of trapping horizons as opposed to event horizons. Interpreting the area as the entropy, we propose to use an area/entropy evolution principle to select a unique dynamical horizon and time slicing in the Cauchy evolution of an initial marginally trapped surface.

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