Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity

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.

16 pages, no figures, accepted in Physical Review D

References in corpus (11)

• A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves
• Geodesics and geodesic deviation for impulsive gravitational waves
• Gravitational waves in vacuum spacetimes with cosmological constant. II. Deviation of geodesics and interpretation of non-twisting type N solutions
• Relativistic Epicycles : another approach to geodesic deviations
• Motions and world-line deviations in Einstein-Maxwell theory
• Nonlinear gravitational waves and their polarization
• Cherenkov radiation in a gravitational wave background
• A perturbative solution for gravitational waves in quadratic gravity
• Exact Nonnull Wavelike Solutions to Gravity with Quadratic Lagrangians
• A gravitational shock wave generated by a beam of null matter in quadratic gravity
• Newman-Penrose Formalism for Gravitational Shock Waves

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