Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ 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 $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity. We construct the field equations and conservation laws in the perspective of this gravity. The perturbation scheme is applied to analyze the behavior of a particular $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ cosmological model on the evolution of cylindrical system. The role of adiabatic index is also checked in the formulations of instability regions. We have explored the instability constraints at Newtonian and post-Newtonian limits. Our results reinforce the significance of adiabatic index and dark source terms in the stability analysis of celestial objects in modified gravity.

29 pages, no figure, version accepted for publication in European Physical Journal C

References in corpus (11)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark Matter from R^2-gravity
• Junction Conditions in f(R) Theories of Gravity
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Dynamical stability of collisionless stellar systems and barotropic stars: the nonlinear Antonov first law
• The hydrodynamic stability of gaseous cosmic filaments

Cited by in corpus (14)

• Charged Gravastars in Modified Gravity
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Construction of Charged Cylindrical Gravastar-like Structures
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• New Definition of Complexity Factor in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Evolution of Compact Stars and Dark Dynamical Variables
• Gravastars in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Measure of Complexity in Self-Gravitating Systems using Structure Scalars
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Quasi Static Evolution of Compact Objects in Modified Gravity
• Junction conditions in gravity theories with extra scalar degrees of freedom
• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity