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Minisuperspace Quantization of f(T, B) Cosmology

Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia 5090000, Chile
Academic Editors: Sebastian Bahamonde and Jackson Levi Said
Universe 2021, 7(5), 150;
Received: 1 April 2021 / Revised: 3 May 2021 / Accepted: 14 May 2021 / Published: 16 May 2021
(This article belongs to the Special Issue Teleparallel Gravity: Foundations and Observational Constraints)
We discuss the quantization in the minisuperspace for the generalized fourth-order teleparallel cosmological theory known as fT, B. Specifically we focus on the case where the theory is linear on the torsion scalar, in that consideration we are able to write the cosmological field equations with the use of a scalar field different from the scalar tensor theories, but with the same dynamical constraints as that of scalar tensor theories. We use the minisuperspace description to write for the first time the Wheeler-DeWitt equation. With the use of the theory of similarity transformations we are able to find exact solutions for the Wheeler-DeWitt equations as also to investigate the classical and semiclassical limit in the de Broglie -Bohm representation of quantum mechanics. View Full-Text
Keywords: Minisupespace; quantization; teleparallel gravity; Wheeler-DeWitt Minisupespace; quantization; teleparallel gravity; Wheeler-DeWitt
MDPI and ACS Style

Paliathanasis, A. Minisuperspace Quantization of f(T, B) Cosmology. Universe 2021, 7, 150.

AMA Style

Paliathanasis A. Minisuperspace Quantization of f(T, B) Cosmology. Universe. 2021; 7(5):150.

Chicago/Turabian Style

Paliathanasis, Andronikos. 2021. "Minisuperspace Quantization of f(T, B) Cosmology" Universe 7, no. 5: 150.

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