On almost commutative FriedmannLemaîtreRobertsonWalker geometries
Abstract
We analyze the leading terms of the spectral action for a model of noncommutative geometry, which is a product of 4D Riemannian manifold with a twopoint space exploring the previously neglected case when the metrics over each sheet are different. Assuming the FriedmannLemaîtreRobertsonWalker type of the metric for both sheets we obtain the action, which in addition to the the usual cosmological constant terms and the EinsteinHilbert term involves a nonlinear interaction term. We study qualitative picture of potential consequences of such term in the basic cosmological models.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 October 2019
 DOI:
 10.1088/13616382/ab3d53
 arXiv:
 arXiv:1903.10158
 Bibcode:
 2019CQGra..36s5007S
 Keywords:

 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 Mathematics  Quantum Algebra
 EPrint:
 13 pages