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arXiv 1202.4893gr-qcastro-ph.COhep-th
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二阶场方程最一般标量张量理论中的黑洞微扰I:奇宇称扇区

Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector

Tsutomu Kobayashi, Hayato Motohashi, Teruaki Suyama

摘要:

我们执行一个完整的相对论分析奇型线性扰动周围的静态和球对称的解决方案,在最一般的标量张量理论与二阶场方程在四维时空。它表明,在广义相对论的情况下,二次作用的扰动减少到一个只有一个动力学变量,从中推导出简洁的公式无鬼和无梯度不稳定性条件。我们的结果适用于所有具有额外标量自由度的引力理论。我们演示了如何通用公式可以应用到一些特定的例子,如Brans-Dicke理论,$f(R)$模型,伽利略引力。

英文摘要:

We perform a fully relativistic analysis of odd-type linear perturbations around a static and spherically symmetric solution in the most general scalar-tensor theory with second-order field equations in four-dimensional spacetime. It is shown that, as in the case of general relativity, the quadratic action for the perturbations reduces to the one having only a single dynamical variable, from which concise formulas for no-ghost and no-gradient instability conditions are derived. Our result is applicable to all the theories of gravity with an extra scalar degree of freedom. We demonstrate how the generic formulas can be applied to some particular examples such as the Brans-Dicke theory, $f(R)$ models, and Galileon gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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