Lie algebraic Noncommutative Gravity

Abstract

We exploit the Seiberg -- Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space time. Detailed expressions of the Seiberg -- Witten maps for the gauge parameters, gauge potentials and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

LaTex, 17 pages, a concluding paragraph has been added in section 4, accepted in Phys. Rev. D

References in corpus (2)

• A Gravity Theory on Noncommutative Spaces
• Time-Space Noncommutativity in Gravitational Quantum Well scenario

Cited by in corpus (9)

• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Noncommutative Schwarzschild Black Hole and Area Law
• Noncommutative D=4 gravity coupled to fermions
• Deformed Reissner--Nordstrom solutions in noncommutative gravity
• Noncommutative corrections to classical black holes
• Twisted Covariant Noncommutative Self-dual Gravity
• Particle-like solutions to classical noncommutative gauge theory
• Noncommutative Corrections to the Robertson-Walker metric
• Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories