Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-11-22
Eur.Phys.J.C53:99-108,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Published version
Scientific paper
10.1140/epjc/s10052-007-0441-1
This work is an application of the second order gauge theory for the Lorentz group, where a description of the gravitational interaction is obtained which includes derivatives of the curvature. We analyze the form of the second field strenght, $G=\partial F +fAF$, in terms of geometrical variables. All possible independent Lagrangians constructed with quadratic contractions of $F$ and quadratic contractions of $G$ are analyzed. The equations of motion for a particular Lagrangian, which is analogous to Podolsky's term of his Generalized Electrodynamics, are calculated. The static isotropic solution in the linear approximation was found, exhibiting the regular Newtonian behaviour at short distances as well as a meso-large distance modification.
Cuzinatto R. R.
de Melo A. M. C.
Medeiros L. G.
Pompeia P. J.
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