Energy momentum pseudo-tensor of high frequency gravitational waves and their dynamical back-reaction  

作　　者：李建杰 

机构地区：[1]College of Mathematics and Physics,Chongqing University

出　　处：《Journal of Chongqing University》2008年第3期206-209,共4页重庆大学学报（英文版）

基　　金：the National Basic Research Program of China (No.2003 CB 716300);the National Natural Science Foundation of China (No.10575140);the Nature Science Foundation of Chongqing (No. 8562);the Foundation of China Academy of Engineering Physics.

摘　　要：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 HIFGW on the background spacetime 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.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.

关 键 词：shortwave limit energy momentum pseudo-tensor high frequency gravitational waves dynamical back-reaction 

分 类 号：O412.1[理学—理论物理]