Static black hole solutions with a self interacting conformally coupled scalar field

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dc.creatorDotti, Gustavo
dc.creatorGleiser, Reinaldo J.
dc.creatorMartinez, Cristian
dc.date2007-10-09
dc.date2008-04-22
dc.date.accessioned2026-07-07T11:37:55Z
dc.date.available2026-07-07T11:37:55Z
dc.descriptionWe study static, spherically symmetric black hole solutions of the Einstein equations with a positive cosmological constant and a conformally coupled self interacting scalar field. Exact solutions for this model found by Mart{\'ı}nez, Troncoso, and Zanelli, (MTZ), were subsequently shown to be unstable under linear perturbations, with modes that diverge arbitrarily fast. We find that the moduli space of static, spherically symmetric solutions that have a regular horizon -and satisfy the weak and dominant energy conditions outside the horizon- is a singular subset of a two dimensional space parameterized by the horizon radius and the value of the scalar field at the horizon. The singularity of this space of solutions provides an explanation for the instability of the MTZ spacetimes, and leads to the conclusion that, if we include stability as a criterion, there are no physically acceptable black hole solutions for this system that contain a cosmological horizon in the exterior of its event horizon.
dc.description22 pages, 5 figures (replaced figure #4), final version, to be published in PRD
dc.identifierhttps://arxiv.org/abs/0710.1735
dc.identifierhttp://arxiv.org/abs/0710.1735
dc.identifierPhys.Rev.D77:104035,2008
dc.identifierdoi:10.1103/PhysRevD.77.104035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199382
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleStatic black hole solutions with a self interacting conformally coupled scalar field
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