Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-05-06
Phys.Rev. D68 (2003) 043513
Astronomy and Astrophysics
Astrophysics
22 pages, 15 figures Version 2: The Oklo event is now considered as localized in time. The initial conditions for the scalar f
Scientific paper
10.1103/PhysRevD.68.043513
Cosmological variation of the fine structure constant $\alpha$ due to the evolution of a spatially homogeneous ultra-light scalar field ($m \sim H_0$) during the matter and $\Lambda$ dominated eras is analyzed. Agreement of $\Delta \alpha/\alpha$ with the value suggested by recent observations of quasar absorption lines is obtained by adjusting a single parameter, the coupling of the scalar field to matter. Asymptotically $\alpha(t)$ in this model goes to a constant value $\bar{\alpha} \approx \alpha_0$ in the early radiation and the late $\Lambda$ dominated eras. The coupling of the scalar field to (nonrelativistic) matter drives $\alpha$ slightly away from $\bar{\alpha}$ in the epochs when the density of matter is important. Simultaneous agreement with the more restrictive bounds on the variation $|\Delta \alpha/\alpha|$ from the Oklo natural fission reactor and from meteorite samples can be achieved if the mass of the scalar field is on the order of 0.5--0.6 $H_\Lambda$, where $H_\Lambda = \Omega_\Lambda^{1/2} H_0$. Depending on the scalar field mass, $\alpha$ may be slightly smaller or larger than $\alpha_0$ at the times of big bang nucleosynthesis, the emission of the cosmic microwave background, the formation of early solar system meteorites, and the Oklo reactor. The effects on the evolution of $\alpha$ due to nonzero mass for the scalar field are emphasized. An order of magnitude improvement in the laboratory technique could lead to a detection of $(\dot{\alpha}/\alpha)_0$.
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