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pp-waves with torsion and metric-affine gravity

Vedad Pasic and Dmitri Vassiliev

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


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

02.40.-k Geometry, differential geometry, and topology

MSC

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries

53B30 Lorentz metrics, indefinite metrics

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 19 (7 October 2005)

Received 1 June 2005, in final form 1 August 2005

Published 14 September 2005



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