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Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity

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arxiv gr-qc/0309128 v1 pith:RIJKEIYV submitted 2003-09-26 gr-qc

classification gr-qc
keywords curvaturegravityquadraticwavewavesgeodesicgravitationalpolarizations
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abstract

We write the equation of geodesic deviations in the spacetime of $pp$-waves in terms of the Newman-Penrose scalars and apply it to study gravitational waves in quadratic curvature gravity. We show that quadratic curvature gravity $pp$-waves can have a transverse helicity-0 polarization mode and two transverse helicity-2 general relativity-like wave polarizations. A concrete example is given in which we analyze the wave polarizations of an exact impulsive gravitational wave solution to quadratic curvature gravity.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravitational waves in Cubic Metric-Affine Gravity

    gr-qc 2025-11 conditional novelty 6.0 of 10

    New exact pp-wave solutions in cubic metric-affine gravity have dynamical torsion and nonmetricity and cause a scalar polarization mode in gravitational waves.

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