Noncommutative Corrections to the Robertson-Walker metric

Understand

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 $t=0$ 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 $t=0$ at leading order in the noncommutativity parameter.