Exact dynamical AdS black holes and wormholes with a Klein-Gordon field

Abstract

We present several classes of exact solutions in the Einstein-Klein-Gordon system with a cosmological constant. The spacetime has spherical, plane, or hyperbolic symmetry and the higher-dimensional solutions are obtained in a closed form only in the plane symmetric case. Among them, the class-I solution represents an asymptotically locally anti-de Sitter (AdS) dynamical black hole or wormhole. In four and higher dimensions, the generalized Misner-Sharp quasi-local mass blows up at AdS infinity, inferring that the spacetime is only locally AdS. In three dimensions, the scalar field becomes trivial and the solution reduces to the BTZ black hole.

arXiv comment11 pages, 2 figures, 2 tables; v2, results strengthened, argument on trapping horizon corrected; v3, argument on locally AdS property added, accepted for publication in Physical Review D

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• Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions
• Evolution of Anti-de Sitter black holes in Einstein-Maxwell-dilaton theory
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• The Roberts-(A)dS spacetime
• Stationary spacetimes with time-dependent real scalar fields
• Gravitational collapse in the AdS background and the black hole formation
• Evolving black hole horizons in General Relativity and alternative gravity
• Nonlinear Evolution of unstable Charged de Sitter Black Holes with Hyperboloidal Formalism
• Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes