Stability Analysis of Stellar Radiating Filaments

Abstract

The aim of this paper is to perform stability analysis of anisotropic dissipative cylindrical collapsing model in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity. In this context, the modified version of hydrodynamical equation is explored by means of dynamical equations and radial perturbation scheme. We examined the role of adiabatic index, dissipation as well as the particular cosmological model on the onset of dynamical instability of the evolving cylindrical system that was initially in hydrostatic equilibrium with Newtonian and post Newtonian approximations. It is pointed out that extra curvature terms of $f(R,T,R_{\mu \nu }{T}^{\mu \mu \nu })$ gravity tends to increase the stability, while that heat radiations push the system to enter into unstable window. Further, our results reveal the significance of adiabatic index in the stability analysis of cylindrical celestial model.

28 pages, no figure

References in corpus (13)

• f(R,T) gravity
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Beyond the Cosmological Standard Model
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Inflationary cosmology in modified gravity theories
• Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy
• A high redshift detection of the integrated Sachs-Wolfe effect
• Dynamics of viscous dissipative gravitational collapse: A full causal approach
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity

Cited by in corpus (5)

• Construction of Charged Cylindrical Gravastar-like Structures
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Evolution of Compact Stars and Dark Dynamical Variables
• Propagation of Polar Gravitational Waves in f(R,T) Scenario