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Main Authors: Gao, Jian, Kang, Yuxuan, Li, Mingzhe, Tong, Yeheng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.03119
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author Gao, Jian
Kang, Yuxuan
Li, Mingzhe
Tong, Yeheng
author_facet Gao, Jian
Kang, Yuxuan
Li, Mingzhe
Tong, Yeheng
contents Gravity is identical to curved spacetime. It is manifested by the curvature of a Riemannian spacetime in general relativity but by torsion or non-metricity in teleparallel gravity models. In this paper, we apply these multiple options to the spacetime perturbation theory and seek the possibilities of representing the gravitation of the background and that of the perturbation in separate ways. We show that the perturbation around a Riemannian background can be described by torsion or non-metricity, so that we have teleparallel like actions for the perturbation.
format Preprint
id arxiv_https___arxiv_org_abs_2503_03119
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spacetime perturbations and quasi-teleparallel gravity
Gao, Jian
Kang, Yuxuan
Li, Mingzhe
Tong, Yeheng
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Gravity is identical to curved spacetime. It is manifested by the curvature of a Riemannian spacetime in general relativity but by torsion or non-metricity in teleparallel gravity models. In this paper, we apply these multiple options to the spacetime perturbation theory and seek the possibilities of representing the gravitation of the background and that of the perturbation in separate ways. We show that the perturbation around a Riemannian background can be described by torsion or non-metricity, so that we have teleparallel like actions for the perturbation.
title Spacetime perturbations and quasi-teleparallel gravity
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2503.03119