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Big-Bang Nucleosynthesis as a Probe of the Geometry of Superspace

arXiv:astro-ph/9412094 · doi:10.1016/0370-2693(95)00764-C

Abstract

We study the effect from a general ultralocal supermetric on primordial nucleosynthesis for Friedmann-Robertson-Walker Cosmology. The parameter $λ$ of the supermetric changes the effective number of degrees of freedom, $g_*$, which modifies the Friedmann equation. This modification produces variations in the production of primordial $^4He$. The observations of the primordial abundances of light elements ($^4He$, $D$, $^3He$ and $^7Li$) allow to estimate bounds on the values of $λ$ consistent with these observations. We obtain $0.87 \le λ\le 1.04$. In addition we analyze the importance of $λ< 1$ to explain possible incompatibilities in the standard Big-Bang nucleosynthesis.

15 pages, 2 PostScript figures