Does Gravity's Rainbow induce Inflation without an Inflaton?

TL;DR

This paper explores how Gravity's Rainbow, a quantum gravity-inspired modification of spacetime, can naturally induce cosmic inflation without requiring an inflaton field, by analyzing the Wheeler-De Witt equation.

Contribution

It demonstrates that modified spacetime geometry from Gravity's Rainbow can produce inflationary solutions without an inflaton, offering a novel approach to quantum cosmology.

Findings

Modified Wheeler-De Witt equation admits outgoing plane wave solutions.

Inflation can occur without an inflaton field due to metric distortion.

Provides a quantum gravity-based mechanism for early universe inflation.

Abstract

We study aspects of quantum cosmology in the presence of a modified space-time geometry. In particular, within the context of Gravity's Rainbow modified geometry, motivated from quantum gravity corrections at the Planck energy scale, we show that the distortion of the metric leads to a Wheeler-De Witt equation whose solution admits outgoing plane waves. Hence, a period of cosmological inflation may arise without the need for introducing an inflaton field.