Dynamics of the universe in the modified unimodular theory of gravity

TL;DR

This paper derives the universe's dynamics within a modified unimodular gravity framework, proposing mechanisms for early universe inflation and late-time acceleration without dark energy or false vacuum assumptions.

Contribution

It introduces a novel modified unimodular gravity model that explains both inflation and cosmic acceleration naturally.

Findings

Provides a mechanism for early universe inflation without false vacuum.

Offers a natural explanation for late-time cosmic acceleration.

Derives the governing equations of the universe in this modified gravity theory.

Abstract

The equations that govern the dynamics of the universe in the modified unimodular theory of gravity are derived. We find a mechanism for inflation in the early universe without postulating a false vacuum state during the first $10^{-35}$ seconds after the Big Bang. In addition, we find a natural explanation for the acceleration of the universe without resorting to dark energy.