The Roberts-(A)dS spacetime
arXiv:1501.03524 · doi:10.1088/0264-9381/32/13/135025
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.
8 pages, 7 figures, 1 table; v2, revised version, higher-dimensional solution with k=0 given in appendix; v3, final version to appear in Classical and Quantum Gravity
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