Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-14
Class.Quant.Grav. 17 (2000) 4437-4450
Physics
High Energy Physics
High Energy Physics - Theory
14 pages of LaTeX, no figures
Scientific paper
10.1088/0264-9381/17/21/306
In the framework of a five-dimensional model with one 3-brane and an infinite extra dimension, we discuss a process in which matter escapes from the brane and propagates into the bulk to arbitrarily large distances. An example is a decay of a particle of mass $2m$ residing on the brane into two particles of mass $m$ that leave the brane and accelerate away. We calculate, in the linearized theory, the metric induced by these particles on the brane. This metric does not obey the four-dimensional Einstein equations and corresponds to a spherical gravity wave propagating along the four-dimensional future light cone. The four-dimensional space-time left behind the spherical wave is flat, so the gravitational field induced in the brane world by matter escaping from the brane disappears in a causal way.
Gregory Ruth
Rubakov Valery A.
Sibiryakov Sergei M.
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