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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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9 pages, 2 figures, 2 tables

Scientific paper

We show a set of exact solutions which represent an asymptotically locally anti-de Sitter (AdS) dynamical black hole or wormhole 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. 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.

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