No-Go Theorem for Energy-Momentum Conservation in Curved Spacetime

Details No-Go Theorem for Energy-Momentum Conservation in Curved Spacetime No-Go Theorem for Energy-Momentum Conservation in Curved Spacetime

2007-02-10

arxiv.org/abs/gr-qc/0702059v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 0 figure

Scientific paper

It is pointed out that in curved spacetime, one cannot define the sum of
energy-momemtum 4-vector over a space-like hypersurface. The difficulty in
finding satisfactory gravitational energy-momentum complex stems from
misunderstanding of this question. The law of conservation of energy-momentum
holds valid only approximately when spacetime is not seriously curved.

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