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arXiv 1709.01641gr-qcastro-ph.COhep-th
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非最小导数耦合标量张量理论中黑洞的准正规模

Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings

Ruifeng Dong, Jeremy Sakstein, Dejan Stojkovic

摘要:

研究了一类位移对称Horndeski理论中渐近反de Sitter黑洞的准正规模,其中引力标量与Einstein张量微分耦合.时空不同于精确的Schwarzschild-anti-de Sitter,导致准正规模的有效势不同,谱也不同。我们数值计算这个频谱的无质量的测试标量耦合最小的度量,和非最小的引力标量。我们发现了与广义相对论中发现的Schwarzschild-anti-de Sitter黑洞有趣的不同之处。

英文摘要:

We study the quasi-normal modes of asymptotically anti-de Sitter black holes in a class of shift-symmetric Horndeski theories where a gravitational scalar is derivatively coupled to the Einstein tensor. The space-time differs from exact Schwarzschild-anti-de Sitter, resulting in a different effective potential for the quasi-normal modes and a different spectrum. We numerically compute this spectrum for a massless test scalar coupled both minimally to the metric, and non-minimally to the gravitational scalar. We find interesting differences from the Schwarzschild-anti-de Sitter black hole found in general relativity.

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