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.

17 pages

References in corpus (3)

• Time drift of cosmological redshifts as a test of the Copernican principle
• The Mass of the Cosmos
• The Angular-Diameter-Distance-Maximum and Its Redshift as Constraints on $\Lambda \ne 0$ FLRW Models

Cited by in corpus (1)

• Power of Observational Hubble Parameter Data: a Figure of Merit Exploration