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Black hole solutions with torsion Culham, Shaun Andrew

Abstract

Classical general relativity theory is torsion free. However, since general relativity and general relativity with torsion are experimentally indistinguishable at this time, it is important to explore the consequences of torsion through its physical effects. We do so by considering an important class of static spherically symmetric solutions, analogs of the Schwarzschild solutions which are at the foundation of most weak limit tests of General Relativity. We first show that in general spherically symmetric black holes with torsion exist; these are the torsion analogs of the Bowick et al. [30] black hole solutions with axionic charge. We next search for more general solutions with non-vanishing torsion field exterior to the black hole. We specialize to spherically symmetric static metrics and spherically symmetric static spatial torsion fields. We find that in certain cases such a solution exists; however falloff conditions on the torsion greatly restrict the form of these solutions.

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