2021/11/22 by Yang, I-Ching
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2111.11020
In the first and second post-Newtonian approximation of the Schwarzschild metric, I obtain the energy component of the Einstein and Møller energy-momentum complex. Both energies involve the rest-mass energy m, the energy stored in the configuration and that in the gravitational field, but the energies of Schwarzschild spacetime in the Einstein and Møller prescriptions are the total mass-energy M. First, for general relativity, the rest-mass energy m in the flat spacetime behaves like the bare mass, and the total mass-energy M in the curved spacetime behaves like the experimentally observed mass. Second, the zero-potential surface is important condition for defining the energy of gravitational field, and plays an important role in the energy-momentum localization of general relativity.