Noncommutative Corrections to the Robertson-Walker metric
arXiv:0808.0943 · doi:10.1103/PhysRevD.78.065037
Abstract
Upon applying Chamseddine's noncommutative deformation of gravity we obtain the leading order noncommutative corrections to the Robertson-Walker metric tensor. We get an isotropic inhomogeneous metric tensor for a certain choice of the noncommutativity parameters. Moreover, the singularity of the commutative metric at is replaced by a more involved space-time structure in the noncommutative theory. In a toy model we construct a scenario where there is no singularity at at leading order in the noncommutativity parameter. Although singularities may still be present for nonzero , they need not be the source of all time-like geodesics and the result resembles a bouncing cosmology.
13 pages
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