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arXiv 1609.01286gr-qcastro-ph.HEhep-phhep-th
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Einstein-Stronon-Gauss-Bonnet引力中的扰动黑洞:稳定性、振铃和引力波发射

Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission

Jose Luis Blázquez-Salcedo, Caio F. B. Macedo, Vitor Cardoso, Valeria Ferrari, Leonardo Gualtieri, Fech Scen Khoo, Jutta Kunz, Paolo Pani

摘要:

由扭曲的黑洞(如由两颗中子星或黑洞合并产生的黑洞)发出的引力波,不仅携带着关于相应时空的信息,而且还携带着关于引力的基本理论的信息。虽然广义相对论仍然是最简单、最优雅和可行的引力理论,但有普遍和有力的论点表明,它不是引力宇宙的最终描述。在这里,我们专注于广义相对论的一个特别吸引人的扩展,它通过增加曲率为二阶的项来纠正爱因斯坦的理论:耦合到一个量子的拓扑高斯-邦纳不变量。我们在这个理论中研究了黑洞的引力波发射,{ \bf(i)}找到了黑洞对轴向和极向扰动都是线性(模)稳定的有力证据;{ \bf(ii)}讨论在涉及黑洞的碰撞过程中如何激发黑洞的准正规模,最后,{ \bf(iii)}表明,具有大信噪比的未来振铃检测将改善对理论耦合参数的电流约束。

英文摘要:

Gravitational waves emitted by distorted black holes---such as those arising from the coalescence of two neutron stars or black holes---carry not only information about the corresponding spacetime but also about the underlying theory of gravity. Although general relativity remains the simplest, most elegant and viable theory of gravitation, there are generic and robust arguments indicating that it is not the ultimate description of the gravitational universe. Here we focus on a particularly appealing extension of general relativity, which corrects Einstein's theory through the addition of terms which are second order in curvature: the topological Gauss-Bonnet invariant coupled to a dilaton. We study gravitational-wave emission from black holes in this theory, and {\bf(i)} find strong evidence that black holes are linearly (mode) stable against both axial and polar perturbations; {\bf(ii)} discuss how the quasinormal modes of black holes can be excited during collisions involving black holes, and finally {\bf(iii)} show that future ringdown detections with large signal-to-noise ratio would improve current constraints on the coupling parameter of the theory.

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