Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-07-02
Class.Quant.Grav. 19 (2002) 6197-6212
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages, 6 figures
Scientific paper
10.1088/0264-9381/19/23/317
Assuming a Friedmann universe which evolves with a power-law scale factor, $a=t^{n}$, we analyse the phase space of the system of equations that describes a time-varying fine structure 'constant', $\alpha$, in the Bekenstein-Sandvik-Barrow-Magueijo generalisation of general relativity. We have classified all the possible behaviours of $\alpha (t)$ in ever-expanding universes with different $n$ and find new exact solutions for $\alpha (t)$. We find the attractors points in the phase space for all $n$. In general, $\alpha $ will be a non-decreasing function of time that increases logarithmically in time during a period when the expansion is dust dominated ($n=2/3$), but becomes constant when $n>2/3$. This includes the case of negative-curvature domination ($n=1$). $\alpha $ also tends rapidly to a constant when the expansion scale factor increases exponentially. A general set of conditions is established for $\alpha $ to become asymptotically constant at late times in an expanding universe.
Barrow John D.
Mota David F.
No associations
LandOfFree
Qualitative Analysis of Universes with Varying Alpha 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 Qualitative Analysis of Universes with Varying Alpha, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Qualitative Analysis of Universes with Varying Alpha will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-632540