Lie algebraic Noncommutative Gravity

Details Lie algebraic Noncommutative Gravity Lie algebraic Noncommutative Gravity

2007-03-14

arxiv.org/abs/hep-th/0703128v3

Phys.Rev.D75:125020,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.75.125020

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.

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