Exact vacuum solutions of 4-dimensional metric-affine gauge theories of gravitation
Exact vacuum solutions of 4-dimensional metric-affine gauge theories of gravitation
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4 维度量仿射规范万有引力理论的精确真空解
DOI：
10.1007/bf01571892
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
R. Tresguerres
中科院分区：
文献类型：
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作者：
R. Tresguerres
在具有非度规相容联系的时空中，我们给出了规范引力理论的两个球对称真空解。其中一个定义在Weyl-Cartan时空上，另一个定义在一般度量仿射空间上。我们考虑拉格朗日，它包括曲率、挠率和非度规的不可约部分中的二次项。这两个解的度规部分都是Reissner-Nordström类型的，并且包括有效的伸缩电荷的贡献。非平凡的Weyl-1形式也是这两种解的共同点。它类似于源于膨胀电荷的库仑势。挠率与非对称性密切相关。
We presenttwoexact spherically symmetric vacuum solutions of gauge theories of gravity on a spacetime with non metric-compatible connection. One of them is defined on a Weyl-Cartan spacetime and the other on a general metric-affine space. We consider Lagrangians which include terms quadratic in the irreducible parts of the curvature, the torsion, and the nonmetricity. The metric part of both solutions is of the Reissner-Nordström type and includes a contribution of an effectivedilatation charge. A nontrivial Weyl 1-form is also common to both solutions. It resembles a Coulomb potential originating from thedilatation charge. The torsion is closely related to the nonmetricity.