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Spin connection and cosmological perturbations in scalar-torsion gravity

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arxiv 2110.12332 v1 pith:I63QEWYC submitted 2021-10-24 gr-qc

classification gr-qc
keywords connectioncosmologicalscalarspincoupledfieldnon-minimallyperturbation
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abstract

In this paper we generalize our previous results on spin connection for the linear scalar cosmological perturbation in $f(T)$ theory to wider class of theories which includes a scalar field $\Phi$ non-minimally coupled to torsion, and allows $\Phi$-dependence of the function $f$. The case of $f_{TT}=0$, with a scalar field non-minimally coupled to torsion needs a special treatment. In both considered cases we derive self-consistent equations of motion for cosmological perturbation using a solution for non-trivial spin connection.

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Cited by 1 Pith paper

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  1. Teleparallel dark energy in a nonflat universe

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Nonflat teleparallel dark energy with a vanishing potential is statistically favored over Lambda CDM in the authors' MCMC fit and mildly prefers an open universe.

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