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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Stability of disformally coupled accretion disks
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Stability of disformally coupled accretion disks

机译：令人难以置上耦合的吸收磁盘的稳定性

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摘要

The no-hair theorem postulates that the only externally observable properties of a black hole are its mass, its electric charge, and its angular momentum. In scalar-tensor theories of gravity, a matter distribution around a black hole can lead to the so called 'spontaneous scalarisation' instability that triggers the development of scalar hair. In the Brans-Dicke type theories, this effect can be understood as a result of tachyonic effective mass of the scalar field. Here we consider the instability in the generalised class of scalar-theories that feature non-conformal, i.e. 'disformal', couplings to matter. Such theories have gained considerable interest in the recent years and have been studied in a wide variety of systems, both cosmological and astrophysical. In view of the prospects of gravitational wave astronomy, it is relevant to explore the implications of the theories in the strong-gravity regime. In this article, we concentrate on the spontaneous scalarisation of matter configurations around Schwarzschild and Kerr black holes. We find that in the more generic scalar-tensor theories, the instability of the Brans-Dicke theory can be enhanced, suggesting violations of the no-hair theorem. On the other hand, we find that, especially if the coupling is very strong, or if the gradients in the matter distribution are negligible, the disformal coupling tends to stabilise the system.
机译：无头发定理假设黑洞的唯一外部可观察性质是其质量，其电荷和其角动量。在标量的重力理论中，黑洞周围的物质分布可以导致所谓的“自发标准”不稳定性，触发标量头的发育。在Brans-Dicke类型理论中，由于标量场的Tachyonic有效质量，可以理解这种效果。在这里，我们考虑在具有非共形式的标量理论的广义类别中的不稳定性，即“不规模”，联轴器。这些理论在近年来获得了相当大的兴趣，并且已经在各种各样的系统中进行了研究，宇宙学和天体物理。鉴于引力波天文学的前景，探讨了理论在强力制度中的影响是相关的。在本文中，我们专注于Schwarzschild和Kerr黑洞周围物质配置的自发标准。我们发现，在更通用的标量张量理论中，可以提高Brans-Dicke理论的不稳定性，表明违反无头发定理。另一方面，我们发现，特别是如果耦合非常强，或者如果物质分布中的梯度可忽略不计，则抗扭曲耦合趋于稳定系统。

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