English

Energy-momentum for Randall-Sundrum models

General Relativity and Quantum Cosmology 2008-11-26 v5

Abstract

We investigate the conservation law of energy-momentum for Randall-Sundrum models by the general displacement transform. The energy-momentum current has a superpotential and are therefore identically conserved. It is shown that for Randall-Sundrum solution, the momentum vanishes and most of the bulk energy is localized near the Planck brane. The energy density is ϵ=ϵ0e3ky\epsilon = \epsilon_0 e^{-3k \mid y \mid}.

Keywords

Cite

@article{arxiv.gr-qc/0508103,
  title  = {Energy-momentum for Randall-Sundrum models},
  author = {Yu-Xiao Liu and Li-Jie Zhang and Yong-Qiang Wang and Yi-Shi Duan},
  journal= {arXiv preprint arXiv:gr-qc/0508103},
  year   = {2008}
}

Comments

13 pages, no figures, v4: introduction and new conclusion added, v5: 11 pages, title changed and references added, accepted by Mod. Phys. Lett. A