From Hubble diagrams to scale factors

Abstract

We present a lower bound on the radius of the universe today $a_0$ and a monotonicity constraint on the Hubble diagram. Our theoretical input is Einstein's kinematics and maximally symmetric universes. Present supernova data yield $a_0>1.2\cdot 10^{26}$ m. A first attempt to quantify the monotonicity constraint is described. We do not see any indication of non-monotonicity.

13 pages, 6 figures

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Cited by in corpus (2)

• On a quadratic equation of state and a universe mildly bouncing above the Planck temperature
• Einstein-Cartan, Bianchi I and the Hubble Diagram