论文标题

F(r)重力中的无限退化精确的RICCI-FLAT溶液

Infinitely degenerate exact Ricci-flat solutions in f(R) gravity

论文作者

Xavier, Semin, Mathew, Jose, Shankaranarayanan, S.

论文摘要

我们获得了一类F(R)重力理论的无限数量的精确静态静电液球形真空溶液。我们通过分析得出了同一类F(R)理论的两个精确真空黑洞溶液。两个黑洞的解决方案在同一时刻具有事件 - 摩托克。但是,它们的渐近特征是不同的。我们的结果表明,无发性定理可能不适合通用的修改重力理论。我们讨论了我们的工作的含义,即将修饰的重力理论与重力波检测中的一般相对论区分开。

We obtain an infinite number of exact static, Ricci-flat spherically symmetric vacuum solutions for a class of f(R) theories of gravity. We analytically derive two exact vacuum black-hole solutions for the same class of f(R) theories. The two black-hole solutions have the event-horizon at the same point; however, their asymptotic features are different. Our results suggest that no-hair theorem may not hold for generic modified gravity theories. We discuss the implications of our work to distinguish modified gravity theories from general relativity in gravitational wave detections.

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