Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity

TL;DR

This paper develops a canonical framework for higher-order gravity theories in anisotropic cosmology, demonstrating their quantum-to-classical transition and successful inflationary predictions aligned with Planck data.

Contribution

It constructs a phase-space structure for higher-order gravity in anisotropic backgrounds using modified formalism and Dirac algorithm, establishing their equivalence and quantization.

Findings

Quantum theory transitions to classical de-Sitter universe.

Inflationary parameters match Planck's latest data.

Canonical quantization is successfully applied to higher-order gravity.

Abstract

We construct phase-space structure of a typical higher-order theory of gravity, in the background of anisotropic Bianchi-1 mini-superspace, following `Modified Horowitz Formalism' as well as applying `Dirac Algorithm' (after taking care of the divergent terms), and establish equivalence. Canonical quantization, and semiclassical approximation are performed to expatiate the fact that such a quantum theory transits successfully to a classical de-Sitter universe. Inflation has thereafter been studied. The numerical values of the inflationary parameters show excellent agreement with the latest released Planck's data.