Global Structure of Certain Static Spacetimes (I)
Bin Zhou
Abstract
In this paper, static spacetimes with a topological structure of R2 × 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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