Dynamical analysis for cylindrical geometry in non-minimally coupled f(R,T) gravity
Abstract
This paper aims to investigate the stability constraints under the influence of particular modified gravity theory šš¾š, i.e. f(R,T) gravity in which the Lagrangian is a varying function of R and trace of energy momentum tensor (T). We examine stable behavior for compact cylindrical star having anisotropic symmetric configuration. We establish dynamical equations as well as equations of continuity in the background of this particular non-minimal coupled šš¾š. We utilize perturbation technique which will be applied on geometrical as well as material physical quantities to constitute collapse equation. We continue this significant investigation to understand the dynamical behavior of considered cylindrical system under non-minimal coupled f(R,T) functional, i.e. f(R,T)=R+Ī¾Rc[1ā{1+R2R2c}ān]+Ī»RT. This gravitational function gives compatible findings only for Ī¾>0,nāR+, also 0<Ī»āŖ1 and Ī»RT considered in this astrophysical model as coupling entity. This model contains Rc which is constant entity, having the values of order of the effective Ricci scalar R. Furthermore, we impose some physical constraints to determine and maintain the stability criteria by establishing the expression of adiabatic index, i.e. Ī for cylindrical anisotropic configuration, in Newtonian (N) and post-Newtonian (pN) eras.
