论文标题
Braneworld黑洞和虫洞的潮汐爱数字
Tidal Love Numbers of Braneworld Black Holes and Wormholes
论文作者
论文摘要
我们在简单的翘曲紧凑型中研究了各种已知的黑洞和虫洞溶液的潮汐变形 - Randall-Sundrum理论，其中四维时空的几何形状是嵌入五维抗抗DE STACTETER STACETER STACETER中的Brane的几何形状。线性化引力扰动理论普遍减少到不均匀的二阶颂歌或同质的三阶颂歌，其指示性与渐近无限的扩张相关的指示根可能与潮汐爱数字有关。我们描述了各种潮汐化指标，对它们的指示根进行了分类，并发现尤其是四极TLN通常是不逐渐消失的。因此，由于其在二进制合并事件中发出的重力波形中的潜在外观，它可能是Braneworld的签名。
We study the tidal deformations of various known black hole and wormhole solutions in a simple context of warped compactification -- Randall-Sundrum theory in which the four-dimensional spacetime geometry is that of a brane embedded in five-dimensional Anti-de Sitter spacetime. The linearized gravitational perturbation theory generically reduces to either an inhomogeneous second-order ODE or a homogeneous third-order ODE of which indicial roots associated with an expansion about asymptotic infinity can be related to Tidal Love Numbers. We describe various tidal-deformed metrics, classify their indicial roots, and find that in particular the quadrupolar TLN is generically non-vanishing. Thus it could be a signature of a braneworld by virtue of its potential appearance in gravitational waveforms emitted in binary merger events.
