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Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions

Patrick Concha, Marcelo Ipinza, Evelyn Rodríguez

2020Physics Letters B21 citationsDOIOpen Access PDF

Abstract

We present a generalization of the so-called Maxwellian extended Bargmann algebra by considering a non-relativistic limit to a generalized Maxwell algebra defined in three spacetime dimensions. The non-relativistic Chern-Simons gravity theory based on this new algebra is also constructed and discussed. We point out that the extended Bargmann and its Maxwellian generalization are particular sub-cases of the generalized Maxwellian extended Bargmann gravity introduced here. The extension of our results using the semigroup expansion method is also discussed.

Topics & Concepts

GeneralizationSpacetimePhysicsMathematical physicsExtension (predicate logic)Space (punctuation)Limit (mathematics)SemigroupMathematicsTheoretical physicsPure mathematicsMathematical analysisQuantum mechanicsComputer scienceProgramming languageOperating systemBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories