Dirac's scalar field as dark energy within the frameworks of conformal theory of gravitation in Weyl-Cartan space

TL;DR

This paper derives equations in conformal gravity with a Dirac scalar field in Weyl-Cartan space, finds an exact solution showing exponential decay, and explains the reduction of dark energy during inflation.

Contribution

It introduces a conformal gravity framework with a Dirac scalar field and provides an exact solution explaining dark energy decrease during inflation.

Findings

Exact solution for scalar field with exponential decay

Explanation of dark energy decrease during inflation

Linking Dirac scalar field energy to dark energy dynamics

Abstract

Equations of the conformal theory of gravity with a Dirac scalar field in a Weyl-Cartan space-time have been derived. An exact solution of the equation for a scalar field, which has kind of a decreasing exponential function, has been found. This allows to explain a significant decrease (during of the period of inflation) the energy of physical vacuum (dark energy), which has been identified with the energy of the Dirac scalar field.