Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity

Details Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity

2003-09-26

arxiv.org/abs/gr-qc/0309128v1

Phys.Rev. D68 (2003) 124013

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figures, accepted in Physical Review D

Scientific paper

10.1103/PhysRevD.68.124013

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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