The Roberts-(A)dS spacetime
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.
Keywords
Cite
@article{arxiv.1501.03524,
title = {The Roberts-(A)dS spacetime},
author = {Hideki Maeda},
journal= {arXiv preprint arXiv:1501.03524},
year = {2021}
}
Comments
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