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Some Spherically Symmetric Exact Solutions of the Metric-Affine Gravity Theory
並列摘要
We present four new spherically symmetric exact solutions of the Metric-Affine Gravity theory. In each case, just as in the other known spherically symmetric solutions, the metric has the Reissner-Nordstrom (anti) de-Sitter form. The nonmetricity is of the Weyl type with a Coulomb potential form due to a dilatation charge. The torsion exhibits a variety of asymptotic behaviors including asymptotically constant. For three solutions the torsion depends on an arbitrary function. Each of the solutions is rather general, requiring only 7 or 8 conditions on the 23 parameters of the theory.
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