Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-04
Phys.Rev.D79:044016,2009
Physics
High Energy Physics
High Energy Physics - Theory
21 pages
Scientific paper
10.1103/PhysRevD.79.044016
Einstein's Theory of General Relativity was formulated as a gauge theory of Lorentz symmetry by Utiyama in 1956, while the Einstein-Cartan gravitational theory was formulated by Kibble in 1961 as the gauge theory of Poincare transformations. In a noncommutative space-time with canonical commutation relations between the coordintes, Lorentz symmetry is violated and field theories constructed on such space-times have instead the so-called twisted Poincare invariance. In this paper a gauge theory formulation of noncommutative gravity is proposed based on the twisted Poincare symmetry together with the requirement of covariance under the general coordinate transformations, an essential ingredient of the theory of general relativity. The advantages of such a formulation as well as the related problems are discussed and possible ways out are outlined.
Chaichian Masud
Oksanen Markku
Tureanu Anca
Zet Gh.
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