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arXiv · 1112.2687

Static spherically symmetric black holes with scalar field

J. Tafel
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Abstract

Static spherically symmetric black holes and particle like solutions with self interacting minimally coupled scalar field {\phi} are analyzed. They are asymptotically flat or anti-de Sitter (AdS). We express them in terms of a single function {\rho} which undergoes simple conditions. If {\phi} is nontrivial the ADM mass M has to be positive. No-hair theorems are generalized to the AdS asymptotic. For both asymptotics the Killing horizon is nondegenerate and its radius cannot be bigger than 2M. Derivatives of {\rho} at singularity determine properties of admissible potentials V({\phi}) as regularity, boundedness and behaviour for maximal values of {\phi}. Several classes of solutions with singular or nonsingular potentials are obtained. Their examples are presented in a form of plots.

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J. Tafel. 2011-12-12. Static spherically symmetric black holes with scalar field. https://doi.org/10.1007/s10714-013-1645-3

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