Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-09-30
Phys.Lett. A328 (2004) 261-269
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, Latex, one figure
Scientific paper
10.1016/j.physleta.2004.06.040
The generalized Stokes theorem (connecting integrals of dimensions 3 and 4) is formulated in a curved space-time in terms of paths in Minkowski space (forming Path Group). A covariant integral form of the conservation law for the energy-momentum of matter is then derived in General Relativity. It extends Einstein's equivalence principle on the energy conservation, since it formulates the conservation law for the energy-momentum of matter without explicit including the gravitational field in the formulation.
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