Energy-momentum for Randall-Sundrum models

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 $\epsilon ={\epsilon }_0{e}^{-3k\mid y\mid }$.

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

References in corpus (3)

• Fermions in Self-dual Vortex Background on a String-like Defect
• Fermionic zero modes in self-dual vortex background
• Angular Momentum Conservation Law for Randall-Sundrum Models

Cited by in corpus (2)

• Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World
• Angular Momentum of a Brane-world Model