arXiv 2009.075082020-09gr-qc

二次DHOST理论中非形式Kerr黑洞的阴影

Shadow of a disformal Kerr black hole in quadratic DHOST theories

Fen Long, Songbai Chen, Mingzhi Wang, Jiliang Jing

备注：: 13 pages, 5 figures
发表信息：: Eur.Phys. J. C 80, 1180 (2020)

摘要：

研究了具有额外形变参数的非形式Kerr黑洞的阴影，它属于二次简并高阶标量张量（DHOST）理论的非隐形旋转解.结果表明，对于任意自旋参数的黑洞，阴影的大小随形变参数的增大而增大。然而，变形参数对阴影形状的影响很大程度上取决于黑洞的自旋参数和变形参数的符号。旋转速度越快、变形参数越负的黑洞，阴影形状的变化越明显。特别是对于具有负形变参数的近极端黑洞，其阴影中存在一个“蒂”状结构，且随着形变参数的绝对值增大而增大。在DHOST理论中，非形式Kerr黑洞的阴影中也出现了眉毛状阴影和自相似分形结构。这些源于标量场的黑洞阴影的特征可以帮助我们理解非隐形非形式的Kerr黑洞和二次DHOST理论。

英文摘要：

We have studied the shadow of a disformal Kerr black hole with an extra deformation parameter, which belongs to non-stealth rotating solutions in quadratic Degenerate Higher Order Scalar Tensor (DHOST) theory. Our result show that the size of the shadow increases with the deformation parameter for the black hole with arbitrary spin parameter. However, the effect of the deformation parameter on the shadow shape depends heavily on the spin parameter of black hole and the sign of the deformation parameter. The change of the shadow shape becomes more distinct for the black hole with the more quickly rotation and the more negative deformation parameter. Especially, for the near-extreme black hole with negative deformation parameter, there exist a "pedicel"-like structure appeared in the shadow, which increases with the absolute value of deformation parameter. The eyebrow-like shadow and the self-similar fractal structures also appear in the shadow for the disformal Kerr black hole in DHOST theory. These features in the black hole shadow originating from the scalar field could help us to understand the non-stealth disformal Kerr black hole and quadratic DHOST theory.

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