Global Structure of Certain Static Spacetimes (I)

Details Global Structure of Certain Static Spacetimes (I) Global Structure of Certain Static Spacetimes (I)

2001-04-13

arxiv.org/abs/gr-qc/0104039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain LaTeX, 10 pages, no figures

Scientific paper

In this paper, static spacetimes with a topological structure of R^2 \times N
is studied, where N is an arbitrary manifold. Well known Schwarzschild
spacetime and Reissner-Nordstrom spacetime are special cases. It is shown that
the existence of a constant and positive surface gravity $\kappa$ ensures the
existence of the Killing horizon, with the cross section homeomorphic to N.

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