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arXiv 1010.3986gr-qcastro-ph.COhep-th
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四阶引力的静态解

Static Solutions for 4th order gravity

William Nelson

摘要:

将Lichnerowicz定理和Israel定理推广到高阶引力理论。特别是它表明,史瓦西是唯一的球对称,静态的,渐近平坦的,黑洞解,提供的空间曲率小于量子引力尺度以外的视界。结果表明,在物质存在的情况下(满足一定的正性要求),广义相对论的静态渐近平坦解,同时也是高阶引力解的,只有真空解

英文摘要:

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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