| Автор | John D Barrow |
| Автор | David F Mota |
| Дата выпуска | 2002-12-07 |
| dc.description | Assuming a Friedmann universe which evolves with a power-law scale factor, a t <sup>n</sup>, we analyse the phase space of the system of equations that describes a time-varying fine structure constant, α, in the Bekenstein–Sandvik–Barrow–Magueijo generalization of general relativity. We have classified all the possible behaviours of α(t) in ever-expanding universes with different n and find new exact solutions for α(t). We find the attractor points in the phase space for all n. In general, α 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). α also tends rapidly to a constant when the expansion scale factor increases exponentially. A general set of conditions is established for α to become asymptotically constant at late times in an expanding universe. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Qualitative analysis of universes with varying alpha |
| Тип | paper |
| DOI | 10.1088/0264-9381/19/23/317 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 19 |
| Первая страница | 6197 |
| Последняя страница | 6212 |
| Аффилиация | John D Barrow; Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK |
| Аффилиация | David F Mota; Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK |
| Выпуск | 23 |
