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arXiv 2205.06962gr-qcastro-ph.HE
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利用Sgr A* 阴影像检验黑洞赤道反射对称性

Testing black hole equatorial reflection symmetry using Sgr A* shadow images

Che-Yu Chen

摘要:

最近发布的M87星系和我们星系中超大质量黑洞的图像使探测黑洞时空和测试广义相对论(GR)成为可能。黑洞时空的赤道反射对称性的破坏显然是超越GR的物理学的一个确凿证据。在本文中,我们使用Sgr A* 黑洞图像的环尺寸上的界限来约束黑洞反射对称性的破坏,这与GR中预测的$\sim10\%$内的临界曲线半径是一致的。采用一个理论不可知的框架,我们考虑了一个克尔类度量,其中反射对称性的破坏是由一个单一的参数,而不改变多极的黑洞参数化。尽管时空是反射不对称的,但由于与基林张量相关的隐藏对称性的存在,临界曲线总是垂直对称的。我们发现,临界曲线的大小是敏感的反射对称性被违反的量,并使用Sgr A* 图像的模型的参数空间上的第一个约束。

英文摘要:

The recently released images of the supermassive black holes in the M87 galaxy and the galaxy of our own make probing black hole spacetimes and testing general relativity (GR) possible. The violation of equatorial reflection symmetry of black hole spacetimes is clearly a smoking gun of physics beyond GR. In this paper, we place constraints on the violation of black hole reflection symmetry using the bounds on the ring size of the Sgr A* black hole images, which are consistent with the critical curve radius predicted in GR within $\sim10\%$. Adopting a theory-agnostic framework, we consider a Kerr-like metric in which the violation of reflection symmetry is parametrized by a single parameter, without altering the multipoles of the black hole. The critical curves are always vertically symmetric due to the existence of hidden symmetry associated with the Killing tensor, even though the spacetime is reflection asymmetric. We find that the size of critical curves is sensitive to the amount of reflection symmetry being violated, and place the first constraints on the parameter space of the model using the Sgr A* images.

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