Klein-Gordon equation for a particle in brane model
General Relativity and Quantum Cosmology
2011-12-12 v3
Abstract
Brane model of universe is considered for free particle. Conservation laws on the brane are obtained using the symmetry properties of the brane. Equation of motion is derived for a particle using variation principle from these conservation laws. This equation includes terms accounting the variation of brane radius. Its solution is obtained at some approximations and dispersion relation for a particle is derived.
Keywords
Cite
@article{arxiv.1111.5695,
title = {Klein-Gordon equation for a particle in brane model},
author = {S. N. Andrianov and R. A. Daishev and S. M. Kozyrev},
journal= {arXiv preprint arXiv:1111.5695},
year = {2011}
}
Comments
10 pages, 3 figures arXiv admin note: substantial text overlap with arXiv:0808.3337