New attractor mechanism for spherically symmetric extremal black holes

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dc.creatorMyung, Yun Soo
dc.creatorKim, Yong-Wan
dc.creatorPark, Young-Jai
dc.date2007-07-13
dc.date2007-10-05
dc.date.accessioned2026-07-07T11:52:46Z
dc.date.available2026-07-07T11:52:46Z
dc.descriptionWe introduce a new attractor mechanism to find the entropy for spherically symmetric extremal black holes. The key ingredient is to find a two-dimensional (2D) dilaton gravity with the dilaton potential $V(ϕ)$. The condition of an attractor is given by $\nabla^2ϕ=V(ϕ_0)$ and $\bar{R}_2=-V^{\prime}(ϕ_0)$ and for a constant dilaton $ ϕ=ϕ_0$, these are also used to find the location of the degenerate horizon $r=r_{e}$ of an extremal black hole. As a nontrivial example, we consider an extremal regular black hole obtained from the coupled system of Einstein gravity and nonlinear electrodynamics. The desired Bekenstein-Hawking entropy is successfully recovered from the generalized entropy formula combined with the 2D dilaton gravity, while the entropy function approach does not work for obtaining this entropy.
dc.description20 pages, 4 figures, Accepted for publication in Physical Review D. This version includes revisions suggested by the referee
dc.identifierhttps://arxiv.org/abs/0707.1933
dc.identifierhttp://arxiv.org/abs/0707.1933
dc.identifierPhys.Rev.D76:104045,2007
dc.identifierdoi:10.1103/PhysRevD.76.104045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204300
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNew attractor mechanism for spherically symmetric extremal black holes
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