Energy conservation and equivalence principle in General Relativity
Abstract
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. A covariant integral form of the conservation law for the energy-momentum of matter is then derived in General Relativity. It generalizes Einstein's equivalence principle, excluding gravitational field from the conservation law for the energy-momentum of matter.
- Publication:
-
Physics Letters A
- Pub Date:
- August 2004
- DOI:
- 10.1016/j.physleta.2004.06.040
- arXiv:
- arXiv:gr-qc/0409121
- Bibcode:
- 2004PhLA..328..261M
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 9 pages, Latex, one figure
