Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames

Abstract Unlike the minimally coupled gravity theory where matter is coupled with gravity in such a manner so that one can differentiate the matter and gravity sector uniquely, the non-minimally coupled theories (NMCT) are distinguished by the intermingling of two. As a consequence of this the calcu...

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Main Authors: Sk. Moinuddin, Pradip Mukherjee, Anirban Saha, Amit Singha Roy
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11619-3
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author Sk. Moinuddin
Pradip Mukherjee
Anirban Saha
Amit Singha Roy
author_facet Sk. Moinuddin
Pradip Mukherjee
Anirban Saha
Amit Singha Roy
author_sort Sk. Moinuddin
collection DOAJ
description Abstract Unlike the minimally coupled gravity theory where matter is coupled with gravity in such a manner so that one can differentiate the matter and gravity sector uniquely, the non-minimally coupled theories (NMCT) are distinguished by the intermingling of two. As a consequence of this the calculation of the energy momentum tensor (EMT) in NMCT is beset with an arbitrariness. In this paper we provide an algorithm based on the well known equivalence between Jordan frame and Einstein frame formulations which enables us to construct the EMT for NMCT in a unique way.
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spelling doaj.art-3c2c89c830f2488b9ca34412e5aaae402023-07-02T11:24:28ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-018351710.1140/epjc/s10052-023-11619-3Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan framesSk. Moinuddin0Pradip Mukherjee1Anirban Saha2Amit Singha Roy3Department of Physics, Barasat Government CollegeDepartment of Physics, Barasat Government CollegeDepartment of Physics, West Bengal State UniversityDepartment of Physics, Cooch Behar Government Engineering CollegeAbstract Unlike the minimally coupled gravity theory where matter is coupled with gravity in such a manner so that one can differentiate the matter and gravity sector uniquely, the non-minimally coupled theories (NMCT) are distinguished by the intermingling of two. As a consequence of this the calculation of the energy momentum tensor (EMT) in NMCT is beset with an arbitrariness. In this paper we provide an algorithm based on the well known equivalence between Jordan frame and Einstein frame formulations which enables us to construct the EMT for NMCT in a unique way.https://doi.org/10.1140/epjc/s10052-023-11619-3
spellingShingle Sk. Moinuddin
Pradip Mukherjee
Anirban Saha
Amit Singha Roy
Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
European Physical Journal C: Particles and Fields
title Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
title_full Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
title_fullStr Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
title_full_unstemmed Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
title_short Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
title_sort energy momentum tensor of a non minimally coupled scalar from the equivalence of the einstein and jordan frames
url https://doi.org/10.1140/epjc/s10052-023-11619-3
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