Open Access
October 2010 Early universe models from noncommutative geometry
Matilde Marcolli, Elena Pierpaoli
Adv. Theor. Math. Phys. 14(5): 1373-1432 (October 2010).


We investigate cosmological predictions on the early universe based on the noncommutative geometry (NCG) models of gravity coupled to matter. Using the renormalization group analysis for the standard model with right-handed neutrinos and Majorana mass terms, which is the particle physics content of the most recent NCG models, we analyze the behavior of the coefficients of the gravitational and cosmological terms in the Lagrangian derived from the asymptotic expansion of the spectral action functional of NCG. We find emergent Hoyle–Narlikar and conformal gravity at the see-saw scales and a running effective gravitational constant, which affects the propagation of gravitational waves and the evaporation law of primordial black holes and provides Linde models of negative gravity in the early universe. The same renormalization group analysis also governs the running of the effective cosmological constant of the model. The model also provides a Higgs-based slow-roll inflationary mechanism, for which one can explicitly compute the slow-roll parameters. The particle physics content allows for dark matter models based on sterile neutrinos with Majorana mass terms.


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Matilde Marcolli. Elena Pierpaoli. "Early universe models from noncommutative geometry." Adv. Theor. Math. Phys. 14 (5) 1373 - 1432, October 2010.


Published: October 2010
First available in Project Euclid: 21 September 2011

zbMATH: 1243.83005
MathSciNet: MR2826185

Rights: Copyright © 2010 International Press of Boston

Vol.14 • No. 5 • October 2010
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