Zero value of the Schwarzschildian mass of asymptotically euclidian time-symmetrical gravitational waves |
| |
Authors: | V N Folomeshkin |
| |
Institution: | 1. Institute of High Energy Physics, Serpukhov, Moscow District, U.S.S.R.
|
| |
Abstract: | It is shown that a coordinate system with simple coordinate conditions can be chosen such that one can explicitly see that the Schwarzschildian mass of an asymptotically Euclidian time-symmetrical system of gravitational waves is equal to zero. It is explicitly seen in the coordinate system with coordinate conditions ? i (?gg ik)=0 and in the set of coordinate systems with the coordinate condition ? i (?gg 0i )=0. In this set of coordinate systems one of the field equations can be written in the form \( - 8\pi \surd ( - g)(T_0^0 - \tfrac{1}{2}T) = \partial _\alpha L_0^{0\alpha } \) where \(L_i^{kn} = \tfrac{1}{2}\surd ( - g)(g^{mn} \Gamma _{im}^k - g^{km} \Gamma _{im}^k )\) , α=1, 2, 3. From this equation it follows that \(m = 2\smallint ({\rm T}_0^0 - \tfrac{1}{2}T)\surd ( - g) dV\) , andm=0 atT i k =0. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|