Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity
General Relativity and Quantum Cosmology
2021-05-21 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2105.09811,
title = {Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity},
author = {Subhra Debnath and Abhik Kumar Sanyal},
journal= {arXiv preprint arXiv:2105.09811},
year = {2021}
}
Comments
28 pages. 0 figures