On the Gannon–Lee singularity theorem in higher dimensions

The Gannon--Lee singularity theorems give well-known restrictions on the spatial topology of singularity-free (i.e. non-spacelike geodesically complete), globally hyperbolic spacetimes. In this paper, we revisit these classic results in the light of recent developments, especially the failure in hig...

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Bibliographic Details
Published inClassical and quantum gravity Vol. 27; no. 15; p. 155016
Main Author Costa e Silva, I P
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 07.08.2010
Institute of Physics
Subjects
Black holes (astronomy)
Constrictions
Exact sciences and technology
Failure
General relativity and gravitation
Horizon
Physics
Quantum gravity
Singularities
Theorems
Topology
Space-time
Singularity
Cosmology
Topology
Black holes
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Summary:The Gannon--Lee singularity theorems give well-known restrictions on the spatial topology of singularity-free (i.e. non-spacelike geodesically complete), globally hyperbolic spacetimes. In this paper, we revisit these classic results in the light of recent developments, especially the failure in higher dimensions of a celebrated theorem by Hawking on the topology of black hole horizons. The global hyperbolicity requirement is weakened, and we expand the scope of the main results to allow for the richer variety of spatial topologies which are likely to occur in higher dimensional spacetimes.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/27/15/155016