Unimodular Cosmological Space-times

TL;DR

This paper explores cosmological solutions within unimodular gravity, demonstrating their correspondence to Einstein's general relativity solutions and highlighting unique aspects like non-gravitating constant scalar potentials and their implications.

Contribution

It provides a detailed analysis of unimodular cosmological solutions and reveals their relation to Einstein's solutions, emphasizing the distinct behavior of constant scalar potentials.

Findings

Unimodular solutions can be mapped to Einstein solutions.

Constant scalar potentials do not contribute to gravity.

Physical implications of these properties are discussed.

Abstract

Some cosmological solutions of the unimodular theory of gravity are studied. These solutions can always be mapped to solutions of Einstein's general relativity in an appropiate frame. Constant scalar potentials however do not gravitate. Some physical consequences are pointed out.