Generalized Non-Commutative Inflation

Details Generalized Non-Commutative Inflation Generalized Non-Commutative Inflation

2011-02-23

arxiv.org/abs/1102.4828v4

Class. Quantum Grav. 29 (2012) 065003

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

Final version considerably improved; Non-commutative inflation rigorously mathematically formulated

Scientific paper

10.1088/0264-9381/29/6/065003

Non-commutative geometry indicates a deformation of the energy-momentum dispersion relation $f(E)\equiv\frac{E}{pc}(\neq 1)$ for massless particles. This distorted energy-momentum relation can affect the radiation dominated phase of the universe at sufficiently high temperature. This prompted the idea of non-commutative inflation by Alexander, Brandenberger and Magueijo (2003, 2005 and 2007). These authors studied a one-parameter family of non-relativistic dispersion relation that leads to inflation: the $\alpha$ family of curves $f(E)=1+(\lambda E)^{\alpha}$. We show here how the conceptually different structure of symmetries of non-commutative spaces can lead, in a mathematically consistent way, to the fundamental equations of non-commutative inflation driven by radiation. We describe how this structure can be considered independently of (but including) the idea of non-commutative spaces as a starting point of the general inflationary deformation of $SL(2,\mathbb{C})$. We analyze the conditions on the dispersion relation that leads to inflation as a set of inequalities which plays the same role as the slow roll conditions on the potential of a scalar field. We study conditions for a possible numerical approach to obtain a general one parameter family of dispersion relations that lead to successful inflation.

Affiliated with

Also associated with

No associations

Rating

Generalized Non-Commutative Inflation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Non-Commutative Inflation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Non-Commutative Inflation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-175466