Exact Gravitational Shock Wave Solution of Higher Order Theories

Details Exact Gravitational Shock Wave Solution of Higher Order Theories Exact Gravitational Shock Wave Solution of Higher Order Theories

1995-12-30

arxiv.org/abs/gr-qc/9512050v2

Phys.Rev.D54:3854-3860,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, REVTEX, Fully revised version. Amplitude of the wave computed. Discussion section added. Figure added. To appear in

Scientific paper

10.1103/PhysRevD.54.3854

We find an {\it exact} pp--gravitational wave solution of the fourth order gravity field equations. Outside the (delta--like) source this {\it not} a vacuum solution of General Relativity. It represents the contribution of the massive, $m=(-\beta)^{-1/2}$, spin--two field associated to the Ricci squared term in the gravitational Lagrangian. The fourth order terms tend to make milder the singularity of the curvature 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 this kind of plane gravitational waves.

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