PP-waves with torsion and metric-affine gravity
arXiv:gr-qc/0505157 · doi:10.1088/0264-9381/22/19/010
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.
arXiv comment17 pages, LaTeX2e
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