Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity
arXiv:2105.09811 · doi:10.1088/1361-6382/abf1c8
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.
28 pages. 0 figures
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