United Approach to the Universe Model and the Local Gravitation Problem

TL;DR

This paper proposes a unified model connecting the large-scale structure of a closed universe with local gravitational fields, suggesting a homogeneous universe with local contracting regions around stars.

Contribution

It introduces a novel approach that combines the universe's global structure with local gravitational phenomena under specific boundary conditions.

Findings

Universe is approximately homogeneous and isotropic on large scales.

The universe is currently expanding, consistent with standard cosmology.

Local regions around stars are contracting, aligning with gravitational collapse theory.

Abstract

A united approach of the large-scale structure of a closed universe and the local spherically symmetric gravitational field is given by supposing an appropriate boundary condition. The general feature of the model obtained are the following. The universe is approximately homogeneous and isotropic on the average on large scale and is expanding at present, as described by the standard model; while locally, the small exterior region of a star started long ago to contract, as expected by the gravitational collapse theory.