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arXiv · 2105.09811

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

Subhra Debnath·Abhik Kumar Sanyal
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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.

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Subhra Debnath, Abhik Kumar Sanyal. 2021-05-20. Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity. https://doi.org/10.1088/1361-6382%2Fabf1c8

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