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

TL;DR

This paper derives exact solutions for dynamical black holes and wormholes in Einstein-Klein-Gordon systems with a cosmological constant, revealing their asymptotic AdS nature and dimensional dependencies.

Contribution

It provides new classes of exact, dynamical solutions with spherical, plane, or hyperbolic symmetry, including asymptotically AdS black holes and wormholes, in various dimensions.

Findings

Class-I solutions describe asymptotically locally AdS black holes or wormholes.

Higher-dimensional solutions are only locally AdS due to divergence of quasi-local mass.

In three dimensions, solutions reduce to the BTZ black hole.

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.