Extremal black holes in D=4 Gauss-Bonnet gravity

Simple item page
dc.creatorChen, Chiang-Mei
dc.creatorGal'tsov, Dmitri V.
dc.creatorOrlov, Dmitry G.
dc.date2006-12-30
dc.date2007-01-23
dc.date.accessioned2026-07-07T10:38:02Z
dc.date.available2026-07-07T10:38:02Z
dc.descriptionWe show that four-dimensional Einstein-Maxwell-Dilaton-Gauss-Bonnet gravity admits asymptotically flat black hole solutions with a degenerate event horizon of the Reissner-Nordström type $AdS_2\times S^2$. Such black holes exist for the dilaton coupling constant within the interval $0\leq a^2<a^2_{\rm cr}$. Black holes must be endowed with an electric charge and (possibly) with magnetic charge (dyons) but they can not be purely magnetic. Purely electric solutions are constructed numerically and the critical dilaton coupling is determined $a_{\rm cr}\simeq 0.488219703$. For each value of the dilaton coupling $a$ within this interval and for a fixed value of the Gauss--Bonnet coupling $α$ we have a family of black holes parameterized by their electric charge. Relation between the mass, the electric charge and the dilaton charge at both ends of the allowed interval of $a$ is reminiscent of the BPS condition for dilaton black holes in the Einstein-Maxwell-Dilaton theory. The entropy of the DGB extremal black holes is twice the Bekenstein-Hawking entropy.
dc.descriptionNew material and references added, errors corrected including higher decimals in a_cr, figures improved
dc.identifierhttps://arxiv.org/abs/hep-th/0701004
dc.identifierhttp://arxiv.org/abs/hep-th/0701004
dc.identifierPhys.Rev.D75:084030,2007
dc.identifierdoi:10.1103/PhysRevD.75.084030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180579
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleExtremal black holes in D=4 Gauss-Bonnet gravity
dc.typetext

Files

Collections

arXiv