A viable form of teleparallel F(T) theory of gravity

Abstract Unlike F(R) gravity, pure F(T) gravity in the vacuum dominated era does not produce any form, viable to study cosmological evolution. Factually, it does not even produce any dynamics. This eerie situation may be circumvented by associating a scalar field, which can also drive inflation in t...

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Main Authors: Manas Chakrabortty, Nayem SK, Abhik Kumar Sanyal
Format: Article
Language:English
Published: SpringerOpen 2023-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11741-2
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author Manas Chakrabortty
Nayem SK
Abhik Kumar Sanyal
author_facet Manas Chakrabortty
Nayem SK
Abhik Kumar Sanyal
author_sort Manas Chakrabortty
collection DOAJ
description Abstract Unlike F(R) gravity, pure F(T) gravity in the vacuum dominated era does not produce any form, viable to study cosmological evolution. Factually, it does not even produce any dynamics. This eerie situation may be circumvented by associating a scalar field, which can also drive inflation in the very early universe. Here, we particularly show that, despite diverse claims, F(T) theory admits Noether symmetry only in the pressure-less dust era in the form $$F(T) \propto T^n, ~n$$ F ( T ) ∝ T n , n being odd integers. A suitable form of F(T), admitting inflation in the very early universe, a viable Friedmann-like radiation dominated era, together with early deceleration and late-time accelerated expansion in the pressure-less dust era, has been proposed.
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spelling doaj.art-308cbe539e0a47d598211171670dfeb92023-09-10T11:24:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-07-018371910.1140/epjc/s10052-023-11741-2A viable form of teleparallel F(T) theory of gravityManas Chakrabortty0Nayem SK1Abhik Kumar Sanyal2Department of Physics, Bankura UniversityDepartment of Physics, Saidabad Manindra Chandra VidyapithDepartment of Physics, Jangipur CollegeAbstract Unlike F(R) gravity, pure F(T) gravity in the vacuum dominated era does not produce any form, viable to study cosmological evolution. Factually, it does not even produce any dynamics. This eerie situation may be circumvented by associating a scalar field, which can also drive inflation in the very early universe. Here, we particularly show that, despite diverse claims, F(T) theory admits Noether symmetry only in the pressure-less dust era in the form $$F(T) \propto T^n, ~n$$ F ( T ) ∝ T n , n being odd integers. A suitable form of F(T), admitting inflation in the very early universe, a viable Friedmann-like radiation dominated era, together with early deceleration and late-time accelerated expansion in the pressure-less dust era, has been proposed.https://doi.org/10.1140/epjc/s10052-023-11741-2
spellingShingle Manas Chakrabortty
Nayem SK
Abhik Kumar Sanyal
A viable form of teleparallel F(T) theory of gravity
European Physical Journal C: Particles and Fields
title A viable form of teleparallel F(T) theory of gravity
title_full A viable form of teleparallel F(T) theory of gravity
title_fullStr A viable form of teleparallel F(T) theory of gravity
title_full_unstemmed A viable form of teleparallel F(T) theory of gravity
title_short A viable form of teleparallel F(T) theory of gravity
title_sort viable form of teleparallel f t theory of gravity
url https://doi.org/10.1140/epjc/s10052-023-11741-2
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