Numerical simulations of single and binary black holes in scalar-tensor theories: Circumventing the no-hair theorem
Numerical simulations of single and binary black holes in scalar-tensor theories: Circumventing the no-hair theorem
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DOI：
10.1103/physrevd.87.124020
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发表时间：
2013-04
影响因子：
5
通讯作者：
E. Berti;V. Cardoso;L. Gualtieri;M. Horbatsch;U. Sperhake
中科院分区：
文献类型：
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作者：
E. Berti;V. Cardoso;L. Gualtieri;M. Horbatsch;U. Sperhake
标量-张量理论是广义相对论的一个令人信服的替代方案，也是爱因斯坦理论最被接受的扩展之一。这些理论中的黑洞没有头发，但可以在依赖于时间的边界条件或空间梯度的支持下长出“假发”。随时间变化或随空间变化的场一般导致非平凡的黑洞动力学，具有潜在的有趣的实验结果。我们进行了一个数值研究的动力学的单和双黑洞的标量场的存在。特别是，我们研究黑洞双星的引力和标量辐射在一个恒定的标量场梯度，我们比较我们的数值结果的分析模型。在单黑洞的情况下，我们发现，经过短暂的瞬态，标量场松弛到静态配置，与微扰计算。此外，我们预测解析（和验证数值），加速黑洞在标量场梯度发射标量辐射。对于一个准圆黑洞双星，我们的分析和数值计算表明，标量辐射的主要成分是在两倍的二进制的轨道频率发射。
Scalar-tensor theories are a compelling alternative to general relativity and one of the most accepted extensions of Einstein’s theory. Black holes in these theories have no hair, but could grow “wigs” supported by time-dependent boundary conditions or spatial gradients. Time-dependent or spatially varying fields lead in general to nontrivial black hole dynamics, with potentially interesting experimental consequences. We carry out a numerical investigation of the dynamics of single and binary black holes in the presence of scalar fields. In particular we study gravitational and scalar radiation from black-hole binaries in a constant scalar-field gradient, and we compare our numerical findings to analytical models. In the single black hole case we find that, after a short transient, the scalar field relaxes to static configurations, in agreement with perturbative calculations. Furthermore we predict analytically (and verify numerically) that accelerated black holes in a scalar-field gradient emit scalar radiation. For a quasicircular black-hole binary, our analytical and numerical calculations show that the dominant component of the scalar radiation is emitted at twice the binary’s orbital frequency.