A Maxwell Like Formulation of Gravitational Theory in Minkowski Spacetime

Details A Maxwell Like Formulation of Gravitational Theory in Minkowski Spacetime A Maxwell Like Formulation of Gravitational Theory in Minkowski Spacetime

2006-08-07

arxiv.org/abs/math-ph/0608017v5

Int.J.Mod.Phys.D16:1027-1042,2007

Physics

Mathematical Physics

This is a version of a paper published in Int. J. Mod. Phs. D 16(6), 1027-1041 (2007) where some misprints and typos have been

Scientific paper

10.1142/S0218271807010547

In this paper using the Clifford bundle formalism a Lagrangian theory of the Yang-Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski spacetime is presented. It is shown how two simple hypothesis permit the interpretation of the formalism in terms of effective Lorentzian or teleparallel geometries. In the case of a Lorentzian geometry interpretation of the theory the field equations are shown to be equivalent to Einstein's equations.

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