论文标题

极端黑洞的记忆效应和BMS对称性

Memory effect and BMS symmetries for extreme black holes

论文作者

Bhattacharjee, Srijit, Kumar, Shailesh

论文摘要

我们研究地平线壳和极端黑洞的焊接自由,以及超级翻译样的邦迪 - 米茨纳 - 萨克斯(BMS)对称性如何作为焊接转换。此外,对于一个无限的无限外壳,靠近极端的reissner-nordstr $ \ ddot {o} $ m(rn)黑洞的地平线,我们显示了作为焊接自由的超支般的对称性。接下来,考虑到地平线壳与测试粒子支撑的冲动引力波的相互作用,我们研究了如何在跨壳的地球学(测试粒子)中编码BMS样对称性的“记忆”(或烙印)。我们的研究表明,及时的测试颗粒在越过地平线壳时从初始平面中移动。对于穿越地平线外壳的无效的一致性,与一致性相对应的光张量。在这两种情况下,变化都是由构成重力波和壳自由度的BMS参数引起的。

We study horizon shells and soldering freedom for extreme black holes and how supertranslation-like Bondi-Metzner-Sachs (BMS) symmetries appear as soldering transformations. Further, for a null shell placed infinitesimally close to the horizon of an extreme Reissner-Nordstr$\ddot{o}$m (RN) black hole, we show superrotation-like symmetries also arise as soldering freedom. Next, considering the interaction of impulsive gravitational waves supported at the horizon shell with test particles, we study how the "memory" (or the imprints) of BMS-like symmetries gets encoded in the geodesics (test particles) crossing the shell. Our study shows, timelike test particles get displaced from their initial plane when they cross the horizon shell. For a null geodesic congruence crossing the horizon shell, the optical tensors corresponding to the congruence suffer jumps. In both the cases, the changes are induced by BMS parameters that constitute the gravity wave and matter degrees of freedom of the shell.

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