广义相对论之守恒定律与重力波辐射
The Conservation Law and the Radiation of General Relativity
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摘要: 本文证明爱因斯坦之广义相对论运动方程能演变成为物质守恒定律。虽然获得的重力场能量动量张量相等于Landau-Lifshitz所得的。但演变过程之物理概念是不同的。除此之外,本文分别从物体运动方程和测地线方程着手,提供了两个寻找重力波辐射的方法。Abstract: This paper presents the conservation law of Einstein's General Relativity, in whichthe continuity equation of matter and gravitational field is implicitly derived from theequation of motion of matter. Although the obtained energy-momentum tensor is thesame as the Landau-Lifshitz pseudotensor. the physical and conceptual foundation aredifferent. Two alternative methods to obtain the gravitational radiation are proposed inthis paper as well The radiation will be derived from the equation of motion of matterand geodesic equation separately.
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Key words:
- general relativity /
- equation of motion of matter /
- geodesicequation
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[1] Carmeli,M.,Leibowitz and N.Nissani,Gravitation: SL(2,C) Gauge Theory and Conservation Laws,World Scientific(1990). [2] Denisov,V.I.and A.A.Logunov,Gruritation and Elementary Particle Physics,Mir Publishers(1983). [3] Landau.L.D.and E.M.Lifshitz,The Classical Theory of Fields.4th.ed.Pergamon Press(1975). [4] Straumann,N.,General Relativity and Relativistic Astrophysics.Springer-Verlag(1986). [5] Thirring,W.,Classical Field Theory 2nd.ed.,Springer-Verlag(1986). [6] Yu X.,Astrophysics and Space Science.(Theory of Gravitational Radiation of the(Ω,Aab-Field)(1992). -
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