Global Structure of Certain Static Spacetimes (I)
Abstract
Description
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.
Plain LaTeX, 10 pages, no figures
Plain LaTeX, 10 pages, no figures