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arXiv · 1501.03524

The Roberts-(A)dS spacetime

Hideki Maeda
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Abstract

Global structure of the (anti-)de~Sitter ((A)dS) generalization of the Roberts solution in general relativity with a massless scalar field and its topological generalization is clarified. In the case with a negative cosmological constant, the spacetime is asymptotically locally AdS and it contains a black-hole event horizon depending on the parameters. The spacetime may be attached to the exact AdS spacetime in a regular manner on a null hypersurface and the resulting spacetime represents gravitational collapse from a regular initial datum. The higher-dimensional counterpart of this Roberts-(A)dS solution with flat base manifold is also given.

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Hideki Maeda. 2015-01-14. The Roberts-(A)dS spacetime. https://doi.org/10.1088/0264-9381%2F32%2F13%2F135025

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