A new approach to non-commutative inflation

Abstract

We propose an inflationary scenario inspired by a recent formulation, in terms of coherent states, of non-commutative quantum field theory. We consider the semiclassical Einstein equations, and we exploit the ultraviolet finiteness of the non-commutative propagator to construct the expectation value of the energy momentum tensor associated to a generic scalar field. It turns out that the latter is always finite and dominated by an effective cosmological constant. By combining this general feature with the intrinsic fuzziness of spacetime, we show that non-commutativity governs the energy density of the early Universe in such a way that the strong energy condition is violated. Thus, there might be a bounce and a subsequent inflationary phase, which does not need any \emph{ad hoc} scalar field.

Version extended, more discussions and references, section added on the cosmological constant, matches version accepted on Class. Quantum Grav

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• Cosmological production of noncommutative black holes
• Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
• BTZ black holes inspired by noncommutative geometry
• Noncommutative geometry inspired wormholes with conformal motion
• Wormholes in f(R) gravity with a noncommutative-geometry background
• Spectral dimension and diffusion in multi-scale spacetimes
• Neutrino spin oscillations in gravitational fields in non-commutative Spaces
• Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
• Finite axionic electrodynamics from a new noncommutative approach
• Macroscopic traversable wormholes with zero tidal forces inspired by noncommutative geometry
• A bound on the scale of spacetime noncommutativity from the reheating phase after inflation
• Accounting for the large radial tension in Morris-Thorne wormholes
• Implications of Tarski's Undefinability Theorem on the Theory of Everything
• Noncommutative-geometry inspired charged wormholes with low tidal forces
• Aspects of Quantum Gravity in Cosmology
• Explosive particle production in non-commutative inflation
• The end of spacetime
• Phase space noncommutativity, power-law inflation and quantum cosmology