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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.
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A.H. Chamseddine, A. Connes, M. Marcolli, Gravity and the standard model with neutrino mixing
2007
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A. Niarchou, A. Jaffe, Imprints of spherical nontrivial topologies on the cosmic microwave background
2007
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A. Connes, M. Marcolli, Noncommutative geometry, quantum fields and motives
2008
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A. Kahle, Superconnections and index theory
2008
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W. Nelson, M. Sakellariadou, Natural inflation mechanism in asymptotic noncommutative geometry
2009
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W. Nelson, J. Ochoa, M. Sakellariadou, Constraining the noncommutative Spectral Action via astrophysical observations
2010
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W. Nelson, J. Ochoa, M. Sakellariadou, Gravitational waves in the Spectral Action of noncommutative geometry
2010
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W. Nelson, M. Sakellariadou, Cosmology and the noncommutative approach to the Standard Model
2010
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J. Boeijink, W.D. van Suijlekom, The noncommutative geometry of Yang-Mills fields
2011
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T. van den Broek, W.D. van Suijlekom, Supersymmetric QCD and Noncommutative Geometry
2011
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M. Marcolli, E. Pierpaoli, K. Teh, The spectral action and cosmic topology
2011
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D. Kolodrubetz, M. Marcolli, Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology
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