Global Structure of Certain Static Spacetimes (I)

2001/04/13 by Bin Zhou, Zhou, Bin
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Planetary Science and Exploration #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0104039

Plain LaTeX, 10 pages, no figures

arxiv created 2001/04/13 · openalex publication_date 2001/04/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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