f(R) gravity with spacetime torsion

Fuente: arXiv
Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Kumar, Hitender, Paul, Tanmoy, SenGupta, Soumitra
Format: Preprint
Veröffentlicht: 2024
Schlagworte:
Online-Zugang:
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
_version_ 1866916294803062784
author Kumar, Hitender
Paul, Tanmoy
SenGupta, Soumitra
author_facet Kumar, Hitender
Paul, Tanmoy
SenGupta, Soumitra
contents The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of freedom which appears as a scalar field has been shown to have multiple implications in Cosmological/Astrophysical scenario. The present work proposes a novel generalization to this correspondence between $f(R)$ gravity and a dual scalar-tensor theory when the affine connection is considered to have an antisymmetric part. It turns out that the $f(R)$ action in presence of spacetime torsion can be recast to a $non-minimally$ coupled scalar-tensor theory with a 2-rank massless antisymmetric tensor field in the Einstein frame, where the scalar field gets coupled with the antisymmetric field through derivative coupling(s).
format Preprint
id arxiv_https___arxiv_org_abs_2401_01705
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle f(R) gravity with spacetime torsion
Kumar, Hitender
Paul, Tanmoy
SenGupta, Soumitra
General Relativity and Quantum Cosmology
The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of freedom which appears as a scalar field has been shown to have multiple implications in Cosmological/Astrophysical scenario. The present work proposes a novel generalization to this correspondence between $f(R)$ gravity and a dual scalar-tensor theory when the affine connection is considered to have an antisymmetric part. It turns out that the $f(R)$ action in presence of spacetime torsion can be recast to a $non-minimally$ coupled scalar-tensor theory with a 2-rank massless antisymmetric tensor field in the Einstein frame, where the scalar field gets coupled with the antisymmetric field through derivative coupling(s).
title f(R) gravity with spacetime torsion
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2401.01705