Geometric obstruction of black holes

Details Geometric obstruction of black holes Geometric obstruction of black holes

2006-05-02

arxiv.org/abs/gr-qc/0605017v1

AnnalsPhys.322:1335-1372,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

50 pages, 2 figures

Scientific paper

10.1016/j.aop.2006.07.005

We study the global structure of Lorentzian manifolds with partial sectional curvature bounds. In particular, we prove completeness theorems for homogeneous and isotropic cosmologies as well as static spherically symmetric spacetimes. The latter result is used to rigorously prove the absence of static spherically symmetric black holes in more than three dimensions. The proofs of these new results are preceded by a detailed exposition of the local aspects of sectional curvature bounds for Lorentzian manifolds, which extends and strengthens previous constructions.

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