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Global Structure of Certain Static Spacetimes (I)

Bin Zhou
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Abstract

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 $κ$ ensures the existence of the Killing horizon, with the cross section homeomorphic to N.

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Bin Zhou. 2001-04-13. Global Structure of Certain Static Spacetimes (I). https://arxiv.org/abs/gr-qc/0104039

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