Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-10-28
Mon.Not.Roy.Astron.Soc. 306 (1999) 696-700
Astronomy and Astrophysics
Astrophysics
5 pages, accepted for publication in MNRAS
Scientific paper
10.1046/j.1365-8711.1999.02551.x
Even if the luminosity distance as a function of redshift is obtained accurately using, for example, Type Ia supernovae, the equation of state of the Universe cannot be determined uniquely but depends on one free parameter $\Omega_{k0} ={k}/(a_0^2H_0^2)$, where $a_0$ and $H_0$ are the present scale factor and the Hubble parameter, respectively. This degeneracy might be resolved if, for example, the time variations of the redshift of quasars are measured as proposed recently by Loeb. Therefore the equation of state of the Universe (or the metric of the universe) might be determined without any theoretical assumption on the matter content of the Universe in future.
Chiba Takeshi
Nakamura Takashi
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