Maxwell symmetries and some applications

Details Maxwell symmetries and some applications Maxwell symmetries and some applications

2012-01-13

arxiv.org/abs/1201.2850v1

Physics

High Energy Physics

High Energy Physics - Theory

8pages. Presented at the XV-th International Conf. on 'Symmetry Methods in Physics' (Dubna, July 2011) and at the '3rd Galileo

Scientific paper

The Maxwell algebra is the result of enlarging the Poincar\'{e} algebra by six additional tensorial Abelian generators that make the fourmomenta non-commutative. We present a local gauge theory based on the Maxwell algebra with vierbein, spin connection and six additional geometric Abelian gauge fields. We apply this geometric framework to the construction of Maxwell gravity, which is described by the Einstein action plus a generalized cosmological term. We mention a Friedman-Robertson-Walker cosmological approximation to the Maxwell gravity field equations, with two scalar fields obtained from the additional gauge fields. Finally, we outline further developments of the Maxwell symmetries framework.

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