论文标题
黑洞振荡中扩展重力理论的签名
Signatures of Extended Theories of Gravity in Black Hole Oscillations
论文作者
论文摘要
总体而言，KERR度量唯一表示围绕一个孤立的旋转黑洞的几何形状。然后，在某些天体物理源中识别重要的非Kerr特征将为强场政权的一般相对性的分解提供“吸烟枪”。另一方面，Kerr黑洞对于许多其他重力理论都是共同的，因此，Kerr指标的验证并不一定有利于所有可能性之间的总体相对论。但是，重力扰动的性质在不同的重力理论之间会有所不同。因此，未来涉及振荡黑洞引力波的精确测试，例如从铃声中识别准正常模式频谱，即使对象是kerr，也将能够探测基础理论。在这里，我们以$ f（r）$重力中的Kerr黑洞的度量扰动来写下方程，以更有益于数值研究的形式。
In general relativity, the Kerr metric uniquely represents the geometry surrounding an isolated, rotating black hole. An identification of significant non-Kerr features in some astrophysical source would then provide a `smoking-gun' for the break-down of general relativity in the strong-field regime. On the other hand, Kerr black holes are common to many other theories of gravity, and thus a validation of the Kerr metric does not necessarily favour general relativity amongst all possibilities. The nature of gravitational perturbations will however differ between different theories of gravity. Future precision tests involving gravitational waves from oscillating black holes, such as identifications of the quasi-normal mode spectrum from ring-down, will thus be able to probe the underlying theory, even if the object is Kerr. Here, we write down the equations governing metric perturbations of a Kerr black hole in $f(R)$ gravity in a form that is more conducive to numerical study.
