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Closed radiation--cosmological-constant turning polynomial

If the present radiation and cosmological-constant densities are respectively

β

and

1

times the present critical density, while

a_{0} = 1

, positive curvature gives

H^{2} = \frac{H _{0}^{2}}{a ^{4}} (a^{4} - β a^{2} + β) .

Turning points are therefore the positive roots of

x^{2} - β x + β

with

x = a^{2}

.

Table of contents 100 2
- Supercritical closed radiation--cosmological-constant recollapse Closed radiation--cosmological-constant turning polynomial 39
- Critical closed radiation--cosmological-constant solution Closed radiation--cosmological-constant turning polynomial 23

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