On 3+1 decompositions with respect to an observer field via differential forms

Details On 3+1 decompositions with respect to an observer field via differential forms On 3+1 decompositions with respect to an observer field via differential forms

1997-01-30

arxiv.org/abs/gr-qc/9701066v2

J.Math.Phys. 38 (1997) 4542-4560

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, AmsTeX, to be published in J.Math.Phys. (sept.'97), minor changes done

Scientific paper

10.1063/1.532142

3+1 decompositions of differential forms on a Lorentzian manifold (M,g;+ - -
-) with respect to arbitrary observer field and the decomposition of the
standard operations acting on them are studied, making use of the ideas of the
theory of connections on principal bundles. Simple explicit general formulas
are given as well as their application to the Maxwell equations.

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