Energy-momentum for Randall-Sundrum models
classification
🌀 gr-qc
keywords
energy-momentumrandall-sundrumenergyepsilonmodelsbranebulkconservation
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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 $\epsilon = \epsilon_0 e^{-3k \mid y \mid}$.
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