Conservation laws for colliding branes with induced gravity
Abstract
We derive conservation laws for collisions of self-gravitating -branes (or -dimensional shells) in an dimensional spacetime including induced gravity on the brane. Previous work has shown how geometrical identities in general relativity enforce conservation of energy-momentum at collisions. The inclusion of induced gravity terms introduces a gravitational self-energy on the brane which permits energy-momentum conservation of matter fields on the brane to be broken, so long as the total energy-momentum, including induced gravity terms, is conserved. We give simple examples with two branes (one ingoing and one outgoing) and three branes.
Keywords
Cite
@article{arxiv.1309.6750,
title = {Conservation laws for colliding branes with induced gravity},
author = {Mathieu Pellen},
journal= {arXiv preprint arXiv:1309.6750},
year = {2015}
}
Comments
16 pages. 9 figures. Simplified version that matched the published version. The final publication is available at http://link.springer.com/article/10.1007%2Fs10509-015-2296-5