Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model

Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model

Abstract The aim of this paper is to investigate the stable/unstable regimes of the non-static anisotropic filamentary stellar models in the framework of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) gravity. We construct the field equations and conservation laws in the perspective o...

Full description

Bibliographic Details
Main Authors: Z. Yousaf, M. Zaeem-ul-Haq Bhatti, Ume Farwa
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-4923-5
id doaj-9a65394f40e14d27986ac5850582e349
record_format Article
spelling doaj-9a65394f40e14d27986ac5850582e3492020-11-25T00:40:01ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-05-0177611310.1140/epjc/s10052-017-4923-5Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar modelZ. Yousaf0M. Zaeem-ul-Haq Bhatti1Ume Farwa2Department of Mathematics, University of the PunjabDepartment of Mathematics, University of the PunjabDepartment of Mathematics, University of the PunjabAbstract The aim of this paper is to investigate the stable/unstable regimes of the non-static anisotropic filamentary stellar models in the framework of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) gravity. We construct the field equations and conservation laws in the perspective of this model of gravity. The perturbation scheme is applied to the analysis of the behavior of a particular $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) cosmological model on the evolution of cylindrical system. The role of the adiabatic index is also checked in the formulations of the instability regions. We have explored the instability constraints in the Newtonian and post-Newtonian limits. Our results reinforce the significance of the adiabatic index and dark source terms in the stability analysis of celestial objects in modified gravity.http://link.springer.com/article/10.1140/epjc/s10052-017-4923-5
collection DOAJ
language English
format Article
sources DOAJ
author Z. Yousaf
M. Zaeem-ul-Haq Bhatti
Ume Farwa
spellingShingle Z. Yousaf
M. Zaeem-ul-Haq Bhatti
Ume Farwa
Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model
European Physical Journal C: Particles and Fields
author_facet Z. Yousaf
M. Zaeem-ul-Haq Bhatti
Ume Farwa
author_sort Z. Yousaf
title Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model
title_short Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model
title_full Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model
title_fullStr Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model
title_full_unstemmed Role of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) model on the stability of cylindrical stellar model
title_sort role of $$f(r,t,r_{\mu \nu }t^{\mu \nu })$$ f ( r , t , r μ ν t μ ν ) model on the stability of cylindrical stellar model
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2017-05-01
description Abstract The aim of this paper is to investigate the stable/unstable regimes of the non-static anisotropic filamentary stellar models in the framework of $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) gravity. We construct the field equations and conservation laws in the perspective of this model of gravity. The perturbation scheme is applied to the analysis of the behavior of a particular $$f(R,T,R_{\mu \nu }T^{\mu \nu })$$ f ( R , T , R μ ν T μ ν ) cosmological model on the evolution of cylindrical system. The role of the adiabatic index is also checked in the formulations of the instability regions. We have explored the instability constraints in the Newtonian and post-Newtonian limits. Our results reinforce the significance of the adiabatic index and dark source terms in the stability analysis of celestial objects in modified gravity.
url http://link.springer.com/article/10.1140/epjc/s10052-017-4923-5
work_keys_str_mv AT zyousaf roleoffrtrmunutmunufrtrmntmnmodelonthestabilityofcylindricalstellarmodel
AT mzaeemulhaqbhatti roleoffrtrmunutmunufrtrmntmnmodelonthestabilityofcylindricalstellarmodel
AT umefarwa roleoffrtrmunutmunufrtrmntmnmodelonthestabilityofcylindricalstellarmodel
_version_ 1725291840061571072

Similar Items