Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity

dc.creatorNozawa, Masato
dc.creatorMaeda, Hideki
dc.date2007-10-15
dc.date2008-02-18
dc.date.accessioned2026-07-07T11:53:33Z
dc.date.available2026-07-07T11:53:33Z
dc.descriptionWe explore various aspects of dynamical black holes defined by a future outer trapping horizon in $n(\ge 5)$-dimensional Einstein-Gauss-Bonnet gravity. In the present paper, we assume that the spacetime has symmetries corresponding to the isometries of an $(n-2)$-dimensional maximally symmetric space and the Gauss-Bonnet coupling constant is non-negative. Depending on the existence or absence of the general relativistic limit, solutions are classified into GR and non-GR branches, respectively. Assuming the null energy condition on matter fields, we show that a future outer trapping horizon in the GR branch possesses the same properties as that in general relativity. In contrast, that in the non-GR branch is shown to be non-spacelike with its area non-increasing into the future. We can recognize this peculiar behavior to arise from a fact that the null energy condition necessarily leads to the null convergence condition for radial null vectors in the GR branch, but not in the non-GR branch. The energy balance law yields the first law of a trapping horizon, from which we can read off the entropy of a trapping horizon reproducing Iyer-Wald's expression. The entropy of a future outer trapping horizon is shown to be non-decreasing in both branches along its generator.
dc.description13 pages, 1 figure, 5 tables; references added, typos corrected, accepted version in CQG
dc.identifierhttps://arxiv.org/abs/0710.2709
dc.identifierhttp://arxiv.org/abs/0710.2709
dc.identifierClass.Quant.Grav.25:055009,2008
dc.identifierdoi:10.1088/0264-9381/25/5/055009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204579
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleDynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
dc.typetext

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