On almost commutative Friedmann-Lemaître-Robertson-Walker 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 two-point space exploring the previously neglected case when the metrics over each sheet are different. Assuming the Friedmann-Lemaître-Robertson-Walker type of the metric for both sheets we obtain the action, which in addition to the the usual cosmological constant terms and the Einstein-Hilbert term involves a nonlinear interaction term. We study qualitative picture of potential consequences of such term in the basic cosmological models.
- Publication:
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Classical and Quantum Gravity
- Pub Date:
- October 2019
- DOI:
- 10.1088/1361-6382/ab3d53
- arXiv:
- arXiv:1903.10158
- Bibcode:
- 2019CQGra..36s5007S
- Keywords:
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- Mathematical Physics;
- General Relativity and Quantum Cosmology;
- Mathematics - Quantum Algebra
- E-Print:
- 13 pages