论文标题
旋转黑洞坠入爱河
Spinning Black Holes Fall in Love
论文作者
论文摘要
黑洞是否会因外部重力场而潮汐变形的开放问题对基本物理，天体物理学和重力波天文学具有深远的影响。爱情张量表征了紧凑型物体（例如天体物理（Kerr）黑洞）在外部静态潮汐场下的潮汐变形性。我们证明，对于非限制限制或轴对称潮汐扰动，所有爱的张量都与Kerr黑洞相同消失。与此结果相反，我们表明，对于旋转的黑洞，爱情张量通常非零。具体而言，要在Kerr Black Hole旋转和弱驱动潮汐场中的线性顺序，我们以封闭形式计算了爱的张量，将质量型和电流型四极矩矩与电型和磁性型四极性潮汐场搭配。对于无量纲的旋转〜0.1，非呈现的四极爱张量〜0.002，因此表明黑洞特别是“刚性”的紧凑物体。
The open question of whether a black hole can become tidally deformed by an external gravitational field has profound implications for fundamental physics, astrophysics and gravitational-wave astronomy. Love tensors characterize the tidal deformability of compact objects such as astrophysical (Kerr) black holes under an external static tidal field. We prove that all Love tensors vanish identically for a Kerr black hole in the nonspinning limit or for an axisymmetric tidal perturbation. In contrast to this result, we show that Love tensors are generically nonzero for a spinning black hole. Specifically, to linear order in the Kerr black hole spin and the weak perturbing tidal field, we compute in closed form the Love tensors that couple the mass-type and current-type quadrupole moments to the electric-type and magnetic-type quadrupolar tidal fields. For a dimensionless spin ~ 0.1, the nonvanishing quadrupolar Love tensors are ~ 0.002, thus showing that black holes are particularly "rigid" compact objects.
