Автор |
Vinod B Johri |
Дата выпуска |
2002-12-07 |
dc.description |
We report a significant finding in quintessence theory that scalar fields with tracker potentials have a model-independent scaling behaviour in the expanding universe. So far, widely discussed exponential, power law or hyperbolic potentials can simply mimic the tracking behaviour over a limited range of redshift. A new version of the tracker field theory is proposed and it is shown that in the small redshift range where the variation of the tracking parameter ε may be taken to be negligible, the differential equation of generic potentials leads to hyperbolic sine and hyperbolic cosine potentials which may approximate a tracker field in the present-day universe. We have plotted the variation of the tracker potential and the equation of state of the tracker field as a function of the redshift z for the model-independent relation derived from tracker field theory; we have also plotted the variation of V(Φ) in terms of the scalar field Φ for the chosen hyperbolic cosine function and have compared it with the curves obtained by the reconstruction of V(Φ) from real observational data from the supernovae. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Search for tracker potentials in quintessence theory |
Тип |
paper |
DOI |
10.1088/0264-9381/19/23/306 |
Electronic ISSN |
1361-6382 |
Print ISSN |
0264-9381 |
Журнал |
Classical and Quantum Gravity |
Том |
19 |
Первая страница |
5959 |
Последняя страница |
5968 |
Аффилиация |
Vinod B Johri; Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA |
Выпуск |
23 |