New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity
New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity
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DOI：
10.1088/1475-7516/2023/02/018
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发表时间：
2022-10
影响因子：
6.4
通讯作者：
S. Bahamonde;Johann Chevrier;Jorge Gigante Valcarcel
中科院分区：
文献类型：
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作者：
S. Bahamonde;Johann Chevrier;Jorge Gigante Valcarcel
在度量-仿射引力的框架下，爱因斯坦张量与广义相对论提供的物质能量动量张量之间的对应关系被扩展到由物质的自旋、膨胀和剪切流产生的扭转和非度量场的后黎曼描述。在这项工作中，我们关注非度量张量的无迹部分的动力学作用及其与剪切的内在联系，定义了一个包含具有剪切电荷的新黑洞解的模型。我们证明了在动态扭转和Weyl矢量存在下的扩展导致了迄今为止度量-仿射引力中最广泛的具有自旋、膨胀和剪切电荷的静态和球对称黑洞解族。
In the framework of Metric-Affine Gravity, the existing correspondence between the Einstein tensor and the energy-momentum tensor of matter provided by General Relativity is extended towards a post-Riemannian description in terms of the torsion and nonmetricity fields, which are sourced by the spin, dilation and shear currents of matter. In this work, we focus on the dynamical role of the traceless part of the nonmetricity tensor and its intrinsic connection with shears, defining a model which encloses a new black hole solution endowed with shear charges. We show that the extension in the presence of dynamical torsion and Weyl vector leads to the broadest family of static and spherically symmetric black hole solutions with spin, dilation and shear charges in Metric-Affine Gravity so far.