The conservation law of energy-momentum in general relativity.
Yong Duan, Y. Wang · Lanzhou University Institutional Repository · 1983
From the standpoint that the conservation laws with the same physical meaning in general relativity and special relativity must be determined by one and the same Lie group, using the Nether theorem, we have proposed that the conservation law of energy-momentum in genera] relativity should be de(?)ived from the generalized translational transformationx~(μ')=x~μ+λ_(?)~u b_0where λ_a)~u is the vierbein. By using the invarianec of this transformation, a satisfactory expression of energy-momentum tensor of gravitational field has been obtained. The reasonableness of this conservation law has been discussed according to the covariant property of the energy-momentum tensor, the total energy of static system and the gravitational radiation problems.