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

TL;DR

This paper proposes a method to determine the Universe's mass-energy density using cosmological redshift time drifts, angular-diameter distances, and redshift data, offering an alternative to traditional density measurements.

Contribution

It introduces a novel approach to measure the Universe's mass-energy density directly from redshift time drifts and constructs LTB models using observational data.

Findings

Mass-energy density can be derived from redshift drifts and distances.

Redshift time drifts can replace density elements in LTB models.

Provides a new observational method for cosmological modeling.

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\^{\i}tre-Tolman-Bondi (LTB) model for the Universe in observational coordinates.