Supervisor of the Universe

TL;DR

This paper explores conformal invariant gravity within Weyl geometry, revealing that interactions between the Weyl vector and observer's world line lead to exponentially expanding cosmological solutions.

Contribution

It introduces a novel interaction between the Weyl vector and the observer's world line, influencing cosmological solutions in conformal invariant gravity.

Findings

Interaction induces exponential scale factor growth

Selects specific cosmological vacuum solutions

Enhances understanding of Weyl geometric gravity

Abstract

In this paper, conformal invariant gravitation, based on Weyl geometry, is considered. In addition to the gravitational and matter action integrals, the interaction between the Weyl vector (entered in Weyl geometry) and the vector, representing the world line of the independent observer, are introduced. It is shown that the very existence of such an interaction selects the exponentially growing scale factor solutions among the cosmological vacuums.