Dynamical Analysis of a Charged Spherical Star in \(\boldsymbol{R-}\boldsymbol{\beta}\boldsymbol{R}_{\boldsymbol{c}}\mathbf{tanh}\boldsymbol{(R/R_{c})+}\boldsymbol{\xi}\boldsymbol{RT}\) Gravity
{"title":"Dynamical Analysis of a Charged Spherical Star in \\(\\boldsymbol{R-}\\boldsymbol{\\beta}\\boldsymbol{R}_{\\boldsymbol{c}}\\mathbf{tanh}\\boldsymbol{(R/R_{c})+}\\boldsymbol{\\xi}\\boldsymbol{RT}\\) Gravity","authors":"M. Z. Bhatti, Z. Yousaf, M. Yousaf","doi":"10.1134/S0202289323040047","DOIUrl":null,"url":null,"abstract":"<p>We illustrate the dynamical instability of charged spherical fluid configuration with anisotropic conditions in nonminimally coupled <span>\\(f(R,T)\\)</span> theory of gravitation, where <span>\\(R\\)</span> is the Ricci scalar and <span>\\(T\\)</span> is the trace of the energy momentum-tensor. We investigate both modified field equations and continuity equations to provide some extra degrees of freedom under the constraints of a specific considered form of <span>\\(f(R,T)\\)</span> gravity. We examine how small changes in geometric and material profiles affect the fluid’s collapsing structure via a perturbation scheme. We study the unstable eras using Newtonian (<span>\\(\\mathbb{N}\\)</span>) and post-Newtonian (pN) approximations by applying some significant constraints on the collapse equation. Our findings demonstrate that the stiffness parameter <span>\\(\\Gamma\\)</span> has a substantial influence on the identification of unstable phases for our charged stellar geometry. We conclude that some correction terms that are dark source terms, which appear due to <span>\\(f(R,T)\\)</span> gravity, lead to an unstable structure/phase throughout the evolutionary process.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S0202289323040047","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We illustrate the dynamical instability of charged spherical fluid configuration with anisotropic conditions in nonminimally coupled \(f(R,T)\) theory of gravitation, where \(R\) is the Ricci scalar and \(T\) is the trace of the energy momentum-tensor. We investigate both modified field equations and continuity equations to provide some extra degrees of freedom under the constraints of a specific considered form of \(f(R,T)\) gravity. We examine how small changes in geometric and material profiles affect the fluid’s collapsing structure via a perturbation scheme. We study the unstable eras using Newtonian (\(\mathbb{N}\)) and post-Newtonian (pN) approximations by applying some significant constraints on the collapse equation. Our findings demonstrate that the stiffness parameter \(\Gamma\) has a substantial influence on the identification of unstable phases for our charged stellar geometry. We conclude that some correction terms that are dark source terms, which appear due to \(f(R,T)\) gravity, lead to an unstable structure/phase throughout the evolutionary process.
期刊介绍:
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community