Cosmological implications of an evolutionary quantum gravity

TL;DR

This paper explores how an evolutionary quantum gravity framework impacts cosmological models, demonstrating its relation to traditional Wheeler-DeWitt approaches through analysis of a generic inhomogeneous universe with matter fields.

Contribution

It introduces an evolutionary quantum gravity approach and shows its equivalence to the Wheeler-DeWitt method in cosmological contexts.

Findings

The Schrödinger problem is formulated and solved with matter fields.

The evolutionary approach overlaps with the Wheeler-DeWitt approach.

Implications for inhomogeneous cosmological models are discussed.

Abstract

The cosmological implications of an evolutionary quantum gravity are analyzed in the context of a generic inhomogeneous model. The Schr\"{o}dinger problem is formulated and solved in the presence of a scalar field, an ultrarelativistic matter and a perfect gas regarded as the dust-clock. Considering the actual phenomenology, it is shown how the evolutionary approach overlaps the Wheeler-DeWitt one.