Using Time Drift of Cosmological Redshifts to find the Mass-Energy Density of the Universe

Abstract

In this paper we show that the mass-energy density of the Universe can be fully determined in terms of the cosmological redshifts, their time drifts and angular-diameter distance (observer area distance). Besides providing an indirect measurement of the mass-energy density of the Universe, we show how one can use the time-drift of the cosmological redshifts as a replacement for the mass-energy density element in the minimally required data set to construct an spherically symmetric Lema\^ıtre-Tolman-Bondi (LTB) model for the Universe in observational coordinates.

arXiv comment17 pages

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• Redshift drift in an inhomogeneous universe: averaging and the backreaction conjecture
• What's Inside the Cone? Numerically reconstructing the metric from observations
• Forecast and analysis of the cosmological redshift drift
• Observational cosmology using characteristic numerical relativity: Characteristic formalism on null geodesics
• Towards the geometry of the universe from data
• Finding a Spherically Symmetric Cosmology from Observations in Observational Coordinates -- Advantages and Challenges