Limits on the changes in the gravitational constant from nucleosynthesis

Author: Al-Rawaf, A.

Source: Astrophysics and Space Science, Volume 310, Numbers 1-2, July 2007 , pp. 173-175(3)

Publisher: Springer

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Abstract:

Due to the recent all-sky, high-precision measurement of microwave background anisotropies by WMAP, a value for baryon-to-photon ratio η was obtained. At the WMAP value for η, the ⁴HE abundance was predicted. In this article we use a simple semi-analytical method with ⁴He predicted and measured values to place a limit on the variation of the gravitational constant G. We find using a conservative range for the measured values for Y _p, that ΔG/G is constrained between −0.26 and 0.15. If we assume a monotonic power law time dependence G∼t ^−β then β values is constrained between −0.008 and 0.0038, which translate into <EquationSource Format="TEX"><![CDATA[$-2.8times 10^{-13}~mbox{yr}^{-1}<dot{G}/G<6.0times 10^{-13}~mbox{yr}^{-1}$]]></EquationSource> . This compares well with results obtained by others using full numerical analysis.

Keywords: Cosmology; Variation of G; 04.50.+h; 98.80.Cq; 12.10.-g; 11.25.MJ

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10509-007-9498-4

Affiliations: 1: Email: arawaf@ksu.edu.sa

Publication date: 2007-07-01