publication . Preprint . 2006

A look inside the theory of the linear approximation

Bel, Ll.;
Open Access English
  • Published: 10 May 2006
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 isol...
free text keywords: General Relativity and Quantum Cosmology
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[1] H. Poincar´e, Rend. Circ. Mat. di Palermo, 21, p. 129 (1906); or in Oeuvres de Henri Poincar´e, IX, Sect. 9, p. 538, Gauthier Villars, Paris (1954)

[2] A. N. Whitehead, The Principle of Relativity with Applications to Physical Science, Cambridge University Press (1922)

[3] A. J. Coleman, arXiv:physics/0505027 (Contains Synge's lectures on Whitehead's theory)

[4] C. M. Will, Theory and experiment in gravitational physics, 2nd edition, Cambridge University Press (1993)

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