A look inside the theory of the linear approximation

Details A look inside the theory of the linear approximation A look inside the theory of the linear approximation

2006-05-10

arxiv.org/abs/gr-qc/0605057v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, typos corrected, section replaced

Scientific paper

We introduce in the framework of the linear approximation of General relativity a natural distinction between General gauge transformations generated by any vector field and those Special ones for which this vector field is a gradient. This allows to introduce geometrical objects that are not invariant under General gauge transformations but they are under Special ones. We develop then a formalism that strengthens the analogy of the formalisms of the electromagnetic and the gravitational theories in a Special relativity framework. We are thus able to define the energy-momentum tensor of the gravitational field and to fully analyze the gravitational field of isolated point masses or continuous distributions of them obtained by linear superpositions.

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