PP-waves with torsion and metric-affine gravity

Details PP-waves with torsion and metric-affine gravity PP-waves with torsion and metric-affine gravity

2005-05-31

arxiv.org/abs/gr-qc/0505157v1

Class.Quant.Grav. 22 (2005) 3961-3976

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX2e

Scientific paper

10.1088/0264-9381/22/19/010

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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