Energy-momentum for Randall-Sundrum models

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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

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/201089

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0508103
 http://arxiv.org/abs/gr-qc/0508103
 Mod.Phys.Lett.A23:769-779,2008
 doi:10.1142/S0217732308024110

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