标题： 四阶引力的静态解 显示英文标题

标题： Static Solutions for 4th order gravity

摘要： Lichnerowicz 和 Israel 定理被推广到高阶引力理论中。特别是证明了，在空间曲率小于量子引力尺度的情况下，史瓦西解是唯一的球对称、静态、渐近平直的黑洞解。接着表明，在存在物质（满足某些正定性条件）的情况下，广义相对论中的唯一静态且渐近平直的解同时也是高阶引力理论解的解是真空解。 显示英文摘要

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