Abstract
Since Kostelecky et al [Phys Rev Lett 100, 111102 (2008)], have shown that there is an intimate connection between spacetime with torsion and the possibility of constraining it to Lorentz violation, a renewed interest in torsion theories of gravity has arised. In this paper, minimal coupling between photons on a torsioned background is shown to allow us to obtain the galactic magnetic field strength μG without dynamo amplification. This agrees with recent results by Jimenez and Maroto (2011) for spiral galaxies, with galactic magnetic field constraints from Dark matter without dy- namo amplification. The approach discussed here allow us to get rid of the unpleasant photon mass by simply consider- ing the Lagrangean cut off for second order torsion terms. Therefore though the gauge and Lorentz symmetries are bro- ken here one does not have to deal with photon masses.
Highlights
There are many papers where galactic magnetic fields [1] and primordial fields can be obtained from a Biermann battery type and not from a usual dynamo mechanism of magnetic field amplification
Kostelecky et al [7] investigated the Lorentz violation (LV) of the fermionic sector of a Lagrangean, in Riemann-Cartan spacetime the curvature tensor Rijkl and the e.m sector F ij F kl, (i, j = 0, 1, 2, 3) given by Rijkl F ij F kl displays the same symmetries of LV term, where the Riemann-Cartan curvature tensor, including torsion terms plays the role of the Higgs sector constants kijkl
We show that the use of this photon sector coupled with torsion flat mode, via non-minimal coupling yields naturally the breaking of gauge fields and a strength for the galactic magnetic fields of the observed G value without the dynamo amplification
Summary
There are many papers where galactic magnetic fields [1] and primordial fields can be obtained from a Biermann battery type and not from a usual dynamo mechanism of magnetic field amplification. More recently Jimenez and Maroto cite [2] have shown that in the presence of dark energy, magnetic fields are generated without any amplification. They obtained for spiral galaxies fields of the strength of 10–9 G in accordance with Schuster-Blackett conjecture that the magnetic fields are obtained from angular momentum. We show that the use of this photon sector coupled with torsion flat mode, via non-minimal coupling yields naturally the breaking of gauge fields and a strength for the galactic magnetic fields of the observed G value without the dynamo amplification.
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