Anti-de Sitter 5D black hole solutions with a self-interacting bulk scalar field: A potential reconstruction approach

Farakos, K; Kouretsis, AP; Pasipoularides, P

dc.contributor.author	Farakos, K	en
dc.contributor.author	Kouretsis, AP	en
dc.contributor.author	Pasipoularides, P	en
dc.date.accessioned	2014-03-01T01:29:52Z
dc.date.available	2014-03-01T01:29:52Z
dc.date.issued	2009	en
dc.identifier.issn	1550-7998	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19382
dc.subject	Exponential Decay	en
dc.subject	General Relativity	en
dc.subject	Scalar Field	en
dc.subject	Anti De Sitter	en
dc.subject	Black Hole	en
dc.subject	Space Time	en
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.other	MILLIMETER	en
dc.subject.other	DIMENSIONS	en
dc.subject.other	HIERARCHY	en
dc.subject.other	HAIR	en
dc.subject.other	TEV	en
dc.title	Anti-de Sitter 5D black hole solutions with a self-interacting bulk scalar field: A potential reconstruction approach	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevD.80.064020	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevD.80.064020	en
heal.identifier.secondary	064020	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We construct asymptotically AdS black hole solutions, with a self-interacting bulk scalar field, in the context of 5D general relativity. As the observable universe is characterized by spatial flatness, we focus on solutions where the horizon of the black hole, and subsequently all 3D hypersurfaces for fixed radial coordinate, have zero spatial curvature. We examine two cases for the black hole scalar hair: (a) an exponential decaying scalar field profile and (b) an inverse power scalar field profile. The scalar black hole solutions we present in this paper are characterized by four functions f(r), a(r), φ(r), and V(φ(r)). Only the functions φ(r) and a(r) are determined analytically, while the functions f(r) and V(φ(r)) are expressed semianalytically by integral formulas in terms of a(r). We present our numerical results and study in detail the characteristic properties of our solutions. We also note that the potential we obtain has a nonconvex form in agreement with the corresponding ""no hair theorem"" for AdS spacetimes. © 2009 The American Physical Society.	en
heal.publisher	AMER PHYSICAL SOC	en
heal.journalName	Physical Review D - Particles, Fields, Gravitation and Cosmology	en
dc.identifier.doi	10.1103/PhysRevD.80.064020	en
dc.identifier.isi	ISI:000270385200078	en
dc.identifier.volume	80	en
dc.identifier.issue	6	en