Cosmology and the Noncommutative approach to the Standard Model

Abstract

We study cosmological consequences of the noncommutative approach to the standard model. Neglecting the nonminimal coupling of the Higgs field to the curvature, noncommutative corrections to Einstein's equations are present only for inhomogeneous and anisotropic space-times. Considering the nominimal coupling however, we obtain corrections even for background cosmologies. A link with dilatonic gravity as well as chameleon cosmology are briefly discussed, and potential experimental consequences are mentioned.

7 pages; slightly amended version to appear in Phys. Rev. D

References in corpus (8)

• Dynamics of dark energy
• Gravity and the standard model with neutrino mixing
• A Lorentzian version of the non-commutative geometry of the standard model of particle physics
• Noncommutative Geometry and the standard model with neutrino mixing
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Why do we live in 3+1 dimensions?
• Natural inflation mechanism in asymptotic noncommutative geometry
• Space-time dimensionality from brane collisions

Cited by in corpus (36)

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• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
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• Constraints on NonCommutative Spectral Action from Gravity Probe B and Torsion Balance Experiments
• Inflation with a Weyl term, or ghosts at work
• Noncommutative spectral geometry, algebra doubling and the seeds of quantization
• Spectral Action for Robertson-Walker metrics
• Bosonic Spectral Action Induced from Anomaly Cancelation
• Exploring the Causal Structures of Almost Commutative Geometries
• Spectral action, Weyl anomaly and the Higgs-Dilaton potential
• Spectral Regularisation: Induced Gravity and the Onset of Inflation
• Early Universe models from Noncommutative Geometry
• Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology
• Restricting Fourth Order Gravity via Cosmology
• Noncommutative Geometry Spectral Action as a framework for unification: Introduction and phenomenological/cosmological consequences
• Involutive representations of coordinate algebras and quantum spaces
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Coupling of gravity to matter, spectral action and cosmic topology
• Noncommutative Universe and Chameleon Field Dynamics
• Generalized Non-Commutative Inflation
• Quantum Gravity and Cosmology: an intimate interplay
• Noncommutative spectral geometry, dissipation and the origin of quantization
• Central tetrads and quantum spacetimes
• Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry
• Noncommutative Spectral Geometry: A Short Review
• Modular forms in the spectral action of Bianchi IX gravitational instantons
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
• Fermionic spectral action and the origin of nonzero neutrino masses
• A conceptual problem for non-commutative inflation and the new approach for non-relativistic inflationary equation of state
• Constraints on scalar coupling to electromagnetism
• Cosmological consequences of the noncommutative spectral geometry as an approach to unification
• Noncommutative spectral geometry and the deformed Hopf algebra structure of quantum field theory
• Post-Newtonian N-Body Dynamics in Extended Theories of Gravity
• Aspects of the Bosonic Spectral Action: Successes and Challenges