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arXiv · gr-qc/0505157

PP-waves with torsion and metric-affine gravity

Vedad Pasic·Dmitri Vassiliev
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Abstract

A classical pp-wave is a 4-dimensional Lorentzian spacetime which admits a nonvanishing parallel spinor field; here the connection is assumed to be Levi-Civita. We generalise this definition to metric compatible spacetimes with torsion and describe basic properties of such spacetimes. We use our generalised pp-waves for constructing new explicit vacuum solutions of quadratic metric-affine gravity.

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Vedad Pasic, Dmitri Vassiliev. 2005-05-31. PP-waves with torsion and metric-affine gravity. https://doi.org/10.1088/0264-9381%2F22%2F19%2F010

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