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arXiv · 1903.03409

f(T) Quantum Cosmology

F. Darabi·K. Atazadeh
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Abstract

We quantize a flat cosmological model in the context of $f(T)$ theory of modified gravity using the Dirac's 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 some typical cosmological models of $f(T)=T-2Λ$, $f(T)= β\sqrt{-2T}$ and $f(T)= γT^2$. Then, in the context of classical-quantum correspondence, we interpret the obtained wavefunctions of the universe to describe an accelerating de Sitter universe which is found to be in good agreement with $f(T)=T-2Λ$ model. Finally, we study Bohm--de Broglie interpretation of the quantum model for $f(T)=T-2Λ$ model.

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F. Darabi, K. Atazadeh. 2019-08-01. f(T) Quantum Cosmology. https://doi.org/10.1103/physrevd.100.023546

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