A linear programming approach to inhomogeneous primordial nucleosynthesis

Details A linear programming approach to inhomogeneous primordial nucleosynthesis A linear programming approach to inhomogeneous primordial nucleosynthesis

1995-10-25

arxiv.org/abs/astro-ph/9510134v1

Astrophys.J. 463 (1996) 420-423

Astronomy and Astrophysics

Astrophysics

9 pages, latex, no figures

Scientific paper

10.1086/177258

We examine inhomogeneous primordial nucleosynthesis for {\it arbitrary} distributions $f$ of the baryon-to-photon ratio $\eta$, in the limit where neither particle diffusion nor gravitational collapse is important. By discretizing $f(\eta)$ and using linear programming, we show that for a set of $m$ constraints on the primordial element abundances, the maximum and minimum possible values of $\bar \eta$ (the final mean value of $\eta$) are given when $f(\eta)$ is a sum of at most $m+1$ delta functions. Our linear programming results indicate that when $f$ is taken to be an arbitrary function, there is no lower bound on $\bar \eta$, while the upper bound is essentially the homogeneous upper bound.

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