论文标题
通过四维旋转黑洞阴影测试高斯 - 骨网的性质
Testing the nature of Gauss-Bonnet gravity by four-dimensional rotating black hole shadow
论文作者
论文摘要
最近发现了新型的四维静态和球形对称的高斯黑洞的发现，可以通过使用天文观测来测试高斯重力的有前途的床[物理学。莱特牧师。 124，081301（2020）]。在本文中，我们首先使用Newman-Janis算法获得了旋转的高斯黑洞黑洞溶液，然后研究通过不旋转和旋转的候选高斯 - 骨网黑色黑洞铸造的阴影。结果表明，正公制参数$α$缩小了阴影，而阴影会扩大阴影。同时，发现阴影的两个直径的失真和比率都随着指标参数而增加。与Kerr Black Hole相比，阴影以$α$的变形更加扭曲，而对负面的阴影却降低了。此外，我们通过使用M87*的观察来计算阴影的角直径。结果表明（-4.5，0）中的负公制参数$α$更受青睐。由于负能量的负能量为负$α$，因此我们的结果扩展了对高斯 - 骨网重力的研究。我们认为，对四维旋转黑洞的进一步研究可能会在高斯 - 骨网重力上开发新的光。
The recent discovery of the novel four-dimensional static and spherically symmetric Gauss-Bonnet black hole provides a promising bed to test Gauss-Bonnet gravity by using astronomical observations [Phys. Rev. Lett. 124, 081301 (2020)]. In this paper, we first obtain the rotating Gauss-Bonnet black hole solution by using the Newman-Janis algorithm, and then study the shadow cast by the nonrotating and rotating candidate Gauss-Bonnet black holes. The result indicates that positive metric parameter $α$ shrinks the shadow, while negative one enlarges it. Meanwhile, both the distortion and ratio of two diameters of the shadow are found to increase with the metric parameter for certain spin. Comparing with the Kerr black hole, the shadow gets more distorted for $α$, and less distorted for negative one. Furthermore, we calculate the angular diameter of the shadow by making use of the observation of M87*. The result indicates that negative metric parameter $α$ in (-4.5, 0) is more favored. Since the negative energy appears for negative $α$, our results extends the study of Gauss-Bonnet gravity. We believe further study on the four-dimensional rotating black hole may shed new light on Gauss-Bonnet gravity.
