Energy momentum pseudo-tensor of high frequency gravitational waves and their dynamical back-reaction |
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Authors: | LI Jian-jie LAN Ming-jian LI Fang-yu |
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Affiliation: | 1. College of Mathematics and Physics,Chongqing University, Chongqing 400044, P. R. China 2. College of Science, Chongqing Technology and Business University, Chongqing 400067, P. R. China |
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Abstract: | To describe properties of the high frequency gravitational wave (HFGW) propagating through the vacuum gravitational field in Robertson-Walker background space-time, we calculated its energy momentum pseudo-tensor (EMPT) in the limit of short wavelengths by taking the Brill-Hartle average on the second order perturbation of the Einstein tensor over several wavelengths. By rewriting the EMPT as a form of perfect fluid, the dynamical back-reaction of HFGW on the background space-time was discussed. The result shows that the energy density of HFGW, which is in the gauge we chose, is positive definite. The HFGW serves as a source for curving the background space-time and affects the dynamical evolution and time evolution of the scale factor of the Robertson-Walker metric. |
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Keywords: | shortwave limit energy momentum pseudo-tensor high frequency gravitational waves dynamical back-reaction |
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