English

Noncommutative Corrections to the Robertson-Walker metric

High Energy Physics - Theory 2008-11-26 v1 General Relativity and Quantum Cosmology

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 t=0t=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=0t=0 at leading order in the noncommutativity parameter. Although singularities may still be present for nonzero tt, they need not be the source of all time-like geodesics and the result resembles a bouncing cosmology.

Keywords

Cite

@article{arxiv.0808.0943,
  title  = {Noncommutative Corrections to the Robertson-Walker metric},
  author = {S. Fabi and B. Harms and A. Stern},
  journal= {arXiv preprint arXiv:0808.0943},
  year   = {2008}
}

Comments

13 pages

R2 v1 2026-06-21T11:08:17.764Z