Brane-Induced Gravity's Shocks

Abstract

We construct exact gravitational field solutions for a relativistic particle localized on a tensional brane in brane-induced gravity. They are a generalization of gravitational shock waves in 4D de Sitter space. We provide the metrics for both the normal branch and the self-inflating branch DGP braneworlds, and compare them to the 4D Einstein gravity solution and to the case when gravity resides only in the 5D bulk, without any brane-localized curvature terms. At short distances the wave profile looks the same as in four dimensions. The corrections appear only far from the source, where they differ from the long distance corrections in 4D de Sitter space. We also discover a new non-perturbative channel for energy emission into the bulk from the self-inflating branch, when gravity is modified at the de Sitter radius.

4 pages, revtex4; v4: a sign error corrected; the correction tantamount to swapping normal and self-inflating branch solutions; the only significant change is that the spectacular new instability is on the self-inflating branch in the limit of vanishing brane tension; more details available in hep-th/0502035

References in corpus (1)

• Gravitational Shock Waves and Their Scattering in Brane-Induced Gravity

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