Energy-momentum for Randall-Sundrum models

Details Energy-momentum for Randall-Sundrum models Energy-momentum for Randall-Sundrum models

2005-08-26

arxiv.org/abs/gr-qc/0508103v5

Mod.Phys.Lett.A23:769-779,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures, v4: introduction and new conclusion added, v5: 11 pages, title changed and references added, accepted by

Scientific paper

10.1142/S0217732308024110

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 $\epsilon = \epsilon_0 e^{-3k \mid y \mid}$.

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