Strictly static spacetimes and positive mass in the Einstein-Gauss-Bonnet theory
General Relativity and Quantum Cosmology
2015-10-30 v1 High Energy Physics - Theory
Abstract
In the Einstein gravity, it is well-known that strictly stationary and vacuum regular spacetime should be the Minkowski spacetime. In the Einstein-Gauss-Bonnet theory, we shall show the similar statement, that is, strictly static(no event horizon), vacuum and asymptotically flat spacetimes with conformally static slices are the Minkowski spacetime when the curvature corrections are small.
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Cite
@article{arxiv.1302.3066,
title = {Strictly static spacetimes and positive mass in the Einstein-Gauss-Bonnet theory},
author = {Tetsuya Shiromizu and Seiju Ohashi},
journal= {arXiv preprint arXiv:1302.3066},
year = {2015}
}
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3 pages