Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity

Fuente: arXiv
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Autores principales: Tabatabaei, Javad, Baghram, Shant, Mashhoon, Bahram
Formato: Preprint
Publicado: 2022
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author Tabatabaei, Javad
Baghram, Shant
Mashhoon, Bahram
author_facet Tabatabaei, Javad
Baghram, Shant
Mashhoon, Bahram
contents We describe a general constitutive framework for a teleparallel extension of the general theory of relativity. This approach goes beyond the teleparallel equivalent of general relativity (TEGR) by broadening the analogy with the electrodynamics of media. In particular, the main purpose of this paper is to investigate in detail a local constitutive extension of TEGR that is the local limit of nonlocal gravity (NLG). Within this framework, we study the modified FLRW cosmological models. Of these, the most cogent turns out to be the modified Cartesian flat model which is shown to be inconsistent with the existence of a positive cosmological constant. Moreover, dynamic dark energy and other components of the modified Cartesian flat model evolve differently with the expansion of the universe as compared to the standard flat cosmological model. The observational consequences of the modified Cartesian flat model are briefly explored and it is shown that the model is capable of resolving the H_0 tension.
format Preprint
id arxiv_https___arxiv_org_abs_2212_05536
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
Tabatabaei, Javad
Baghram, Shant
Mashhoon, Bahram
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
We describe a general constitutive framework for a teleparallel extension of the general theory of relativity. This approach goes beyond the teleparallel equivalent of general relativity (TEGR) by broadening the analogy with the electrodynamics of media. In particular, the main purpose of this paper is to investigate in detail a local constitutive extension of TEGR that is the local limit of nonlocal gravity (NLG). Within this framework, we study the modified FLRW cosmological models. Of these, the most cogent turns out to be the modified Cartesian flat model which is shown to be inconsistent with the existence of a positive cosmological constant. Moreover, dynamic dark energy and other components of the modified Cartesian flat model evolve differently with the expansion of the universe as compared to the standard flat cosmological model. The observational consequences of the modified Cartesian flat model are briefly explored and it is shown that the model is capable of resolving the H_0 tension.
title Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2212.05536