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Exact Einstein-scalar field solutions for formation of black holes in a cosmological setting

Oleg A. Fonarev
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Abstract

We consider self-interacting scalar fields coupled to gravity. Two classes of exact solutions to Einstein's equations are obtained: the first class corresponds to the minimal coupling, the second one to the conformal coupling. One of the solutions is shown to describe a formation of a black hole in a cosmological setting. Some properties of this solution are described. There are two kinds of event horizons: a black hole horizon and cosmological horizons. The cosmological horizons are not smooth. There is a mild curvature singularity, which affects extended bodies but allows geodesics to be extended. It is also shown that there is a critical value for a parameter on which the solution depends. Above the critical point, the black hole singularity is hidden within a global black hole event horizon. Below the critical point, the singularity appears to be naked. The relevance to cosmic censorship is discussed.

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Oleg A. Fonarev. 1994-09-11. Exact Einstein-scalar field solutions for formation of black holes in a cosmological setting. https://doi.org/10.1088/0264-9381%2F12%2F7%2F016

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