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arXiv · 2308.08759

Exploring Quantum Cosmology within the Framework of Teleparallel $f(T)$-gravity

N. Dimakis·A. Paliathanasis·T. Christodoulakis
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Abstract

We investigate quantum cosmology in teleparallel $f(T)$-gravity. We delve extensively into the minisuperspace description within the context of teleparallelism. The $f(T)$-theory constitutes a second-order theory of gravity, whose cosmological counterpart is delineated by a degenerate point-like Lagrangian. To formulate the Hamiltonian function encompassing all constraints and degrees of freedom inherent to $f(T)$ cosmology, we employ the Dirac-Bergmann algorithm. Subsequently, we determine the wave function of the universe and introduce a ``probabilistic'' interpretation. We perform comparisons to some classical solutions to see to what extent the quantum approach can cure classical singularities.

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N. Dimakis, A. Paliathanasis, T. Christodoulakis. 2023-08-17. Exploring Quantum Cosmology within the Framework of Teleparallel $f(T)$-gravity. https://arxiv.org/abs/2308.08759

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