Coupling of gravity to matter, spectral action and cosmic topology

Details Coupling of gravity to matter, spectral action and cosmic topology Coupling of gravity to matter, spectral action and cosmic topology

2011-06-27

arxiv.org/abs/1106.5473v1

Physics

Mathematical Physics

28 pages, LaTeX

Scientific paper

We consider a model of modified gravity based on the spectral action functional, for a cosmic topology given by a spherical space form, and the associated slow-roll inflation scenario. We consider then the coupling of gravity to matter determined by an almost commutative geometry over the spherical space form. We show that this produces a multiplicative shift of the amplitude of the power spectra for the density fluctuations and the gravitational waves, by a multiplicative factor equal to the total number of fermions in the matter sector of the model. We obtain the result by an explicit nonperturbative computation, based on the Poisson summation formula and the spectra of twisted Dirac operators on spherical space forms, as well as by a heat-kernel computation.

Affiliated with

Also associated with

No associations

Rating

Coupling of gravity to matter, spectral action and cosmic topology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coupling of gravity to matter, spectral action and cosmic topology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupling of gravity to matter, spectral action and cosmic topology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639104