Cosmic acceleration in Lovelock quantum gravity

TL;DR

This paper explores quantum Lovelock gravity to model cosmic inflation and late-time acceleration, providing new solutions, physical interpretations, and predictions for observable parameters like spectral tilt and tensor-to-scalar ratio.

Contribution

It introduces novel inflationary and late-time acceleration solutions within quantum Lovelock gravity, with a new interpretation of Lovelock couplings as a topological mass.

Findings

Derived spectral tilt and tensor-to-scalar ratio predictions.

Established hypergeometric states of cosmic acceleration.

Proposed a physical interpretation of Lovelock couplings.

Abstract

This paper introduces novel solutions for inflation and late-time cosmic acceleration within the framework of quantum Lovelock gravity, utilizing Friedmann equations. Furthermore, we demonstrate the hypergeometric states of cosmic acceleration through the Schr\"{o}dinger stationary equation. A physical interpretation is proposed, whereby the rescaled Lovelock couplings represent a topological mass that characterizes the Lovelock branch. This research holds the potential for an extension into the quantum description. Predictions for the spectral tilt and tensor-to-scalar ratio are depicted through plotted curves. By utilizing the rescaled Hubble parameter, the spectral index is determined in terms of the number of e-folds.