f ( T ) quantum cosmology

We quantize a flat cosmological model in the context of the f(T) theory of modified gravity using the Dirac quantization approach for Hamiltonian constraint systems. In this regard, first we obtain the Wheeler-DeWitt equation as the operator equation of the Hamiltonian constraint and solve it for th...

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Bibliographic Details
Published in:Physical review. D 2019-07, Vol.100 (2), p.023546, Article 023546
Main Authors: Darabi, F., Atazadeh, K.
Format: Article
Language:English
Subjects:
Astronomical models
Cosmology
Universe
Wave functions
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Summary:We quantize a flat cosmological model in the context of the f(T) theory of modified gravity using the Dirac quantization approach for Hamiltonian constraint systems. In this regard, first we obtain the Wheeler-DeWitt equation as the operator equation of the Hamiltonian constraint and solve it for the typical cosmological models of f(T)=T−2Λ, f(T)=β−2T, and f(T)=γT2. Then, in the context of classical-quantum correspondence, we interpret the obtained wave functions of the universe to describe an accelerating de Sitter universe which is found to be in good agreement with the f(T)=T−2Λ model. Finally, we study the Bohm–de Broglie interpretation of the quantum model for the f(T)=T−2Λ model.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.100.023546