Einstein's Equations and a Cosmology with Finite Matter

TL;DR

This paper explores alternative space-time metrics compatible with Einstein's equations within a cosmology featuring a finite total matter mass, proposing a model where matter density originates as a delta function at the big bang and diffuses outward.

Contribution

It introduces a novel cosmological model with finite total matter, differing from standard big bang assumptions, and analyzes compatible space-time metrics.

Findings

Proposes a finite-mass cosmology with matter originating as a delta function.

Identifies space-time metrics compatible with this finite-mass cosmology.

Challenges standard assumptions about the uniformity of the big bang.

Abstract

We discuss various space-time metrics which are compatible with Einstein's equations and a previously suggested cosmology with a finite total mass. In this alternative cosmology the matter density was postulated to be a spatial delta function at the time of the big bang thereafter diffusing outward with constant total mass. This proposal explores a departure from standard assumptions that the big bang occurred everywhere at once or was just one of an infinite number of previous and later transitions.