On the Gannon-Lee Singularity Theorem in Higher Dimensions

Details On the Gannon-Lee Singularity Theorem in Higher Dimensions On the Gannon-Lee Singularity Theorem in Higher Dimensions

2010-05-30

arxiv.org/abs/1005.5527v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures, to appear in Class. Quantum Grav

Scientific paper

The Gannon-Lee singularity theorems give well-known restrictions on the spatial topology of singularity-free (i.e., nonspacelike 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.

Affiliated with

Also associated with

No associations

Rating

On the Gannon-Lee Singularity Theorem in Higher Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Gannon-Lee Singularity Theorem in Higher Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Gannon-Lee Singularity Theorem in Higher Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161939