M. Campanelli et Co. Lousto, EXACT GRAVITATIONAL SHOCK-WAVE SOLUTION OF HIGHER-ORDER THEORIES, Physical review. D. Particles and fields, 54(6), 1996, pp. 3854-3860
We fmd an enact pp-gravitational wave solution of the fourth-order gra
vity field equations. Outside the (delta-like) source this is not a va
cuum solution of general relativity. It represents the contribution of
the massive, m=(-beta)(-1/2), spin-two field associated while the Ric
ci-squared term in the gravitational Lagrangian. The fourth-order term
s tend to make the singularity of the curvature milder at the point wh
ere the particle is located. We generalize this analysis to D dimensio
ns, extended sources, and higher than fourth-order theories. We also b
riefly discuss the scattering of fields by these kinds of plane gravit
ational waves.