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Coupling of gravity to matter, spectral action and cosmic topology
Coupling of gravity spectral action cosmic topology
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2011/7/26
Abstract: 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 co...
Spectral action for scalar perturbations of Dirac operators
spectral geometry noncommutative geometry
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2011/2/22
We investigate the leading terms of the spectral action for odd-dimensional Riemannian spin manifolds with the Dirac operator perturbed by a scalar function.
On spectral action over Bieberbach manifolds
spectral action noncommutative geometry
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2011/1/17
We compute the leading terms of the spectral action for orientable three dimensional Bieberbach manifolds first, using two different methods: the Poisson summation formula and the perturbative expansi...