Energy-momentum for Randall-Sundrum models
arXiv:gr-qc/0508103 · doi:10.1142/S0217732308024110
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 $ε= ε_0 e^{-3k \mid y \mid}$.
13 pages, no figures, v4: introduction and new conclusion added, v5: 11 pages, title changed and references added, accepted by Mod. Phys. Lett. A