Strictly static spacetimes and positive mass in the Einstein-Gauss-Bonnet 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.

3 pages

References in corpus (3)

• Black hole uniqueness theorems in higher dimensional spacetimes
• A no-go on strictly stationary spacetimes in four/higher dimensions
• $N+1$ formalism in Einstein-Gauss-Bonnet gravity

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