Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes
Abstract
The equations for the evolution of a homogeneous brane world that emits gravitons at early times, and into a non-Z_2 symmetric bulk, are derived using an AdS-Vaidya spacetime approximation. The behaviour of the black hole mass parameters either side of the brane is analysed, and it is found that in general graviton emission leads to a decrease in the non-Z_2 symmetry. However, the behaviour of the dark radiation term in the Friedmann equation is more complex: it is shown that this term can increase or decrease due to the non-Z_2 symmetry, and can become negative in some cases, leading to H=0 and the brane universe collapsing. Constraints on the initial (nonzero) sizes of the mass parameters are therefore derived.
Cite
@article{arxiv.hep-th/0412083,
title = {Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes},
author = {Ian R. Vernon and David Jennings},
journal= {arXiv preprint arXiv:hep-th/0412083},
year = {2009}
}
Comments
24 pages, 12 figures; notation clarified and one reference added