Cosmology with the cosmic rest frame

TL;DR

This paper explores a spherically symmetric inhomogeneous universe model assuming a direct link between comoving coordinates and the cosmic rest frame, leading to a unique solution that can fit the Hubble diagram without a cosmological constant.

Contribution

It introduces a specific inhomogeneous cosmological model based on the cosmic rest frame, deriving a unique solution that challenges the necessity of a cosmological constant.

Findings

The pressure must be zero in this model.

The metric is independent of the radial coordinate.

The model can fit the Hubble diagram without a cosmological constant.

Abstract

We assume a one-to-one correspondence between comoving coordinates and the cosmic rest frame in a spherically symmetric inhomogeneous universe. This strongly restricts the solutions of Einstein's equations: (i) The pressure must be zero. (ii) The metric does not depend on the radial coordinate, the FLRW cosmology is excluded (strong homogeneity). (iii) The unique solution corresponds to the Datt-Ruban solution. Beside the Hubble constant it contains one free constant of integration which can be chosen in order to represent the measured Hubble diagram without using a cosmological constant.