f(T) Quantum Cosmology

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 $f(T)=T-2\Lambda$, $f(T)=\beta \sqrt{-2T}$ and $f(T)=\gamma T^2$. 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 $f(T)=T-2\Lambda$ model. Finally, we study Bohm--de Broglie interpretation of the quantum model for $f(T)=T-2\Lambda$ model.

16 pages, 3 figures

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Cited by in corpus (8)

• The classical and quantum implications of the Raychaudhuri Equation in f(T)-gravity
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Cosmic evolution in f(T) gravity theory
• Modified Teleparallel $f(T)$ Gravity, DESI BAO and the $H_0$ Tension
• Classical and quantum cosmology in $f(T)$-gravity theory: A Noether symmetry approach
• Time-covariant Schrödinger equation and invariant decay probability: The $\Lambda$-Kantowski-Sachs universe
• Quantum cosmology in teleparallel gravity with a boundary term
• Quantum Cosmology in $f(R,T)$ Theory with Schutz's Perfect Fluid