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Energy-momentum for Randall-Sundrum models

Yu-Xiao Liu·Li-Jie Zhang·Yong-Qiang Wang·Yi-Shi Duan
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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 $ε= ε_0 e^{-3k \mid y \mid}$.

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Yu-Xiao Liu, Li-Jie Zhang, Yong-Qiang Wang, Yi-Shi Duan. 2007-06-22. Energy-momentum for Randall-Sundrum models. https://doi.org/10.1142/s0217732308024110

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