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arXiv 1508.03044gr-qcastro-ph.COhep-phhep-th
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Horndeski引力中慢旋转黑洞解

Slowly rotating black hole solutions in Horndeski gravity

Andrea Maselli, Hector O. Silva, Masato Minamitsuji, Emanuele Berti

摘要:

本文研究了Horndeski引力理论中Hartle-Thorne慢旋近似下的一阶黑洞解。我们推导出的运动方程也包括标量线性依赖于时间的情况。在Hartle-Thorne形式中,所有的一阶转动修正都用一个单一的框架拖曳函数来描述。我们表明,帧拖动功能是完全相同的,在广义相对论中的所有已知的黑洞解在移位对称Horndeski理论,除了与高斯-邦纳不变量的线性耦合的理论。我们的结果扩展了以前的无毛定理的广泛类Horndeski引力理论。

英文摘要:

We study black hole solutions at first order in the Hartle-Thorne slow-rotation approximation in Horndeski gravity theories. We derive the equations of motion including also cases where the scalar depends linearly on time. In the Hartle-Thorne formalism, all first-order rotational corrections are described by a single frame-dragging function. We show that the frame-dragging function is exactly the same as in general relativity for all known black hole solutions in shift symmetric Horndeski theories, with the exception of theories with a linear coupling to the Gauss-Bonnet invariant. Our results extend previous no-hair theorems for a broad class of Horndeski gravity theories.

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