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.

11 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

References in corpus (4)

• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• A Holographic Dual of Bjorken Flow
• Consistent Anti-de Sitter-Space/Conformal-Field-Theory Dual for a Time-Dependent Finite Temperature System
• Anti-de Sitter massless scalar field spacetimes in arbitrary dimensions

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• Dynamical charged black hole spontaneous scalarization in Anti-de Sitter spacetimes
• Stationary spacetimes with time-dependent real scalar fields
• Nonlinear Evolution of unstable Charged de Sitter Black Holes with Hyperboloidal Formalism
• Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes