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 μν T μν ) 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 μν T μν ) 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.

New Definition of Complexity Factor in $f(R,T,R_{μν}T^{μν})$ Gravity

“…where total mass of the corresponding object is denoted by M(ν). We have found Darmois junction conditions and smooth matching criterion of the exterior and interior manifolds over the boundary for f (R, T, Q) gravity, which is provided by Yousaf et al [28] (after following Senovilla [56]). We establish some constraints at boundary surface r = r Σ as…”

“…They also discussed the stability of some particular models in f (R, T, Q) theory by obtaining their solution through numerical techniques. Yousaf et al [26][27][28][29] studied the gravitational collapse in self-gravitating structures and calculated their equations of motion in f (R, T, Q) theory as well as some relations with Weyl tensor. Bhatti et al [30,31] studied the gravitational collapse in f (R, T, Q) theory and calculated few constraints under which the systems would enter into the collapsing phase.…”

Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures

“…where M is a gravitating mass of the corresponding object. For the smooth matching of outer and inner manifold across the boundary, we consider Darmois junction conditions and matching criterion provided by Yousaf et al [26] (after following Senovilla [48]) for f (R, T, Q) gravity. At boundary surface r = r Σ =, we found that…”

“…They found numerical solution of some special models of f (R, T, Q) theory to discuss their stability. In the gravitational collapse of spherical structure, Bhatti et al and his collaborators [25][26][27][28] analyzed the role of the physical variables on the dynamical evolution of self-gravitating systems and found the relation of structural variables with that of Weyl tensor in f (R, T, Q) theory.…”

Isotropic Gravastar Model in Rastall Gravity

“…ey [33] analyzed the role of electric charge on the entire analytical solutions which are stable, nonevent horizon and singularity free in nature. Also, Yousaf and his collaborators [34][35][36][37][38] have worked on the stability of gravastars in several modified theories of gravity.…”