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Gravitational Collapse to Toroidal and Higher Genus Black Holes

Published online by Cambridge University Press:  30 September 2008

F.C. Mena
Affiliation:
Departamento de Matemática, Universidade do Minho, 4710-057 Braga, Portugal
J. Natário
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal
P. Tod
Affiliation:
Mathematical Institute, University of Oxford, St. Giles' 24-29, Oxford OX1 3LB, UK
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Abstract

In this contribution we summarize some of our recent results about the matching of collapsing inhomogeneous dust-filled spacetimes to vacuum static exteriors with a negative cosmological constant in planar or hyperbolic symmetry. This models gravitational collapse to toroidal or higher genus asymptotically AdS black holes.

Type
Research Article
Copyright
© EAS, EDP Sciences, 2008

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References

Barnes, A., 1987, Commun. Math. Phys., 33, 75-82 CrossRef
Krasiński, A., 1997, Inhomogeneous Cosmological models (Cambridge: Cambridge University Press)
Mena, F.C., Natario, J., & Tod, P., Gravitational Collapse to Toroidal and Higher Genus asymptotically AdS Black Holes, preprint [gr-qc arXiv:0707.2519] on [xxx.soton.ac.uk]
Smith, W.L., & Mann, R.B., 1997, Phys. Rev. D, 56, 4942-4947 CrossRef