Gravitational shock waves and their scattering in brane-induced gravity

Journal Article · Fri Apr 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.086003· OSTI ID:20709127

Kaloper, Nemanja ^[1]

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1. Department of Physics, University of California, Davis, California 95616 (United States)

In this paper, following hep-th/0501028, we present a detailed derivation and discussion of the exact gravitational field solutions for a relativistic particle localized on a tensional brane in brane-induced gravity. Our derivation yields the metrics for both the normal branch and the self-inflating branch Dvali, Gabadadze, and Porrati (DGP) braneworlds. They generalize the 4D gravitational shock waves in de Sitter space, and so we compare them to the corresponding 4D general relativity solution and to the case when gravity resides only in the 5D bulk, and there are no brane-localized graviton kinetic terms. We write down the solutions in terms of two-variable hypergeometric functions and find that at short distances the shock wave profiles look exactly the same as in 4D Minkowski space, thus recovering the limit one expects if gravity is to be mediated by a metastable, but long-lived, bulk resonance. The corrections far from the source differ from the long distance corrections in 4D de Sitter space, coming in with odd powers of the distance. We discuss in detail the limiting case on the normal branch when gravity is modified exactly at de Sitter radius, and energy can be lost into the bulk by resonancelike processes. Finally, we consider Planckian scattering on the brane, and find that for a sufficiently small impact parameter it is approximated very closely by the usual 4D description.

• OSTI ID: 20709127
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
CORRECTIONS
DE SITTER GROUP
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL FIELDS
GRAVITATIONAL WAVES
HYPERGEOMETRIC FUNCTIONS
IMPACT PARAMETER
MATHEMATICAL SOLUTIONS
MEMBRANES
METRICS
MINKOWSKI SPACE
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCATTERING
SHOCK WAVES
SPACE-TIME