Spin connection and cosmological perturbations in scalar-torsion gravity

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...

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Bibliographic Details
Published in:arXiv.org 2021-10
Main Authors: Toporensky, Alexey V, Tretyakov, Petr V
Format: Article
Language:English
Subjects:
Equations of motion
Perturbation
Scalars
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2110.12332