Maxwell symmetries and some applications

Abstract

The Maxwell algebra is the result of enlarging the Poincaré 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.

8pages. Presented at the XV-th International Conf. on 'Symmetry Methods in Physics' (Dubna, July 2011) and at the '3rd Galileo-Xu Guangqi meeting' (Beijing, October 2011), to appear in IJMPD

References in corpus (5)

• Vector Inflation
• Deformations of Maxwell algebra and their Dynamical Realizations
• Gauged AdS-Maxwell algebra and gravity
• Deformations of Maxwell Superalgebras and Their Applications
• Supersymmetrization Schemes of D=4 Maxwell Algebra

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• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion
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