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arXiv 2209.02209gr-qchep-phhep-thphysics.comp-ph
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大黄蜂引力模型中的静态球形真空解

Static spherical vacuum solutions in the bumblebee gravity model

Rui Xu, Dicong Liang, Lijing Shao

摘要:

大黄蜂引力模型是一个矢量张量引力理论,其中矢量场非极小耦合到里奇张量。通过研究具有球对称性的真空场方程,发现该模型中存在两类黑洞解:一类是矢量场径向分量为零的黑洞解,另一类是Ricci张量径向分量为零的黑洞解.当向量场和里奇张量之间的耦合为零时,第一类解成为Reissner-Nordström解,而第二类解退化为向量场为零时的史瓦西解。在这两个家庭的一般数值解得到非零之间的耦合矢量场和Ricci张量。除了BH解决方案,我们还揭示了存在的解决方案,有一个非零的$tt$ -分量的度量假设事件视界的$rr$ -分量的度量发散,而曲率标量是有限的。这些解决方案是不支持现有的观察,但目前的某些性质是学术兴趣。最后,我们把BH解决方案对太阳系观测和超大质量黑洞的图像进行测试。

英文摘要:

The bumblebee gravity model is a vector-tensor theory of gravitation where the vector field nonminimally couples to the Ricci tensor. By investigating the vacuum field equations with spherical symmetry, we find two families of black-hole (BH) solutions in this model: one has a vanishing radial component of the vector field and the other has a vanishing radial component of the Ricci tensor. When the coupling between the vector field and the Ricci tensor is set to zero, the first family becomes the Reissner-Nordström solution while the second family degenerates to the Schwarzschild solution with the vector field being zero. General numerical solutions in both families are obtained for nonzero coupling between the vector field and the Ricci tensor. Besides BH solutions, we also reveal the existence of solutions that have a nonvanishing $tt$-component of the metric on the supposed event horizon where the $rr$-component of the metric diverges while the curvature scalars are finite. These solutions are not supported by existing observations but present certain properties that are of academic interests. We conclude the study by putting the BH solutions into tests against the Solar-system observations and the images of supermassive BHs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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