期刊
PHYSICAL REVIEW D
卷 82, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.82.104026
关键词
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资金
- NSF [PHY0748336, PHY0854743]
- George A. and Margaret M. Downsbrough Endowment
- Eberly research funds of Penn State
- Division Of Physics
- Direct For Mathematical & Physical Scien [854743] Funding Source: National Science Foundation
The Lichnerowicz and Israel theorems are extended to higher order theories of gravity. In particular it is shown that Schwarzschild is the unique spherically symmetric, static, asymptotically flat, black-hole solution, provided the spatial curvature is less than the quantum gravity scale outside the horizon. It is then shown that in the presence of matter (satisfying certain positivity requirements), the only static and asymptotically flat solutions of general relativity that are also solutions of higher order gravity are the vacuum solutions.
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