Phys. Rev. D 54, 3854–3860 (1996)Exact gravitational shock wave solution of higher order theoriesReceived 2 January 1996; revised 3 May 1996; published in the issue dated 15 September 1996 We find an exact pp-gravitational wave solution of the fourth-order gravity field equations. Outside the (δ-like) source this is not a vacuum solution of general relativity. It represents the contribution of the massive, m=(-β)-1/2, spin-two field associated while the Ricci-squared term in the gravitational Lagrangian. The fourth-order terms tend to make the singularity of the curvature milder at the point where the particle is located. We generalize this analysis to D dimensions, extended sources, and higher than fourth-order theories. We also briefly discuss the scattering of fields by these kinds of plane gravitational waves. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.54.3854
DOI:
10.1103/PhysRevD.54.3854
PACS:
04.50.+h, 04.30.Nk
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