Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-04-07
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, 5 figures. Revtex4. Minor changes in the appendix
Scientific paper
In this paper we compare the dimensional method with the Lie groups tactic in order to show the limitations and advantages of each technique. For this purpose we study in detail a perfect fluid cosmological model with time-varying "constants" by using dimensional analysis and the symmetry method. We revise our previous conclusion about the variation of the fine structure constant finding for example that in the radiation predominance era if $\alpha$ varies is only due to the variation of $e^{2}\epsilon_{0}^{-1}$ since $c\hbar=const$ in this era.
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