Limitations in using luminosity distance to determine the equation of state of the universe

Abstract

Supernova searches have been been suggested as a method for determining precisely the current value and time variation of the equation of state, $w$, of the dark energy component responsible for the accelerated expansion of the Universe. We show that the method is fundamentally limited by the fact that luminosity dista nce depends on $w$ through a multiple integral relation that smears out information about $w$ and its time variatio n. The effect degrades the resolution of $w$ that can be obtained from current d ata.

4 pages, 2 figures; corrected figure 1 (compared to preprint and published versions) and minor changes to text

References in corpus (4)

• The Cosmic Triangle: Revealing the State of the Universe
• Reconstructing the Cosmic Equation of State from Supernova distances
• Supernovae Ia Constraints on a Time-Variable Cosmological "Constant"
• Measuring the Cosmic Equation of State with Counts of Galaxies

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