A new approach to non-commutative inflation

Details A new approach to non-commutative inflation A new approach to non-commutative inflation

2009-08-13

arxiv.org/abs/0908.1949v5

Class. Quantum Grav.28:105022, 2011; Class.Quant.Grav.28:105022,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Version extended, more discussions and references, section added on the cosmological constant, matches version accepted on Cla

Scientific paper

10.1088/0264-9381/28/10/105022

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.

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