6533b827fe1ef96bd12867a8
RESEARCH PRODUCT
Maxwell symmetries and some applications
Kiyoshi KamimuraJosé A. De AzcárragaJerzy Lukierskisubject
PhysicsHigh Energy Physics - TheoryScalar (mathematics)Cartan formalismFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Mathematical Physics (math-ph)Cosmological constantNoncommutative geometryGeneral Relativity and Quantum Cosmologysymbols.namesakeGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)symbolsSpin connectionGauge theoryAbelian groupEinsteinMathematical PhysicsMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-13 |