Area evolution, bulk viscosity and entropy principles for dynamical horizons

dc.creatorGourgoulhon, Eric
dc.creatorJaramillo, Jose Luis
dc.date2006-07-12
dc.date2006-09-12
dc.date.accessioned2026-07-07T07:16:29Z
dc.date.available2026-07-07T07:16:29Z
dc.descriptionWe 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.
dc.descriptionSome references added, 5 pages, Phys. Rev. D, in press
dc.identifierhttps://arxiv.org/abs/gr-qc/0607050
dc.identifierhttp://arxiv.org/abs/gr-qc/0607050
dc.identifierPhys.Rev. D74 (2006) 087502
dc.identifierdoi:10.1103/PhysRevD.74.087502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113608
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleArea evolution, bulk viscosity and entropy principles for dynamical horizons
dc.typetext

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