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arXiv · hep-th/0003109

Brane worlds: the gravity of escaping matter

Ruth Gregory·Valery A. Rubakov·Sergei M. Sibiryakov
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Abstract

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.

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Ruth Gregory, Valery A. Rubakov, Sergei M. Sibiryakov. 2000-03-14. Brane worlds: the gravity of escaping matter. https://doi.org/10.1088/0264-9381%2F17%2F21%2F306

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