Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity

Abstract

In this paper, we have analyzed the stability of cylindrically symmetric collapsing object filled with locally anisotropic fluid in $f(R,T)$ theory, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor of matter. Modified field equations and dynamical equations are constructed in $f(R,T)$ gravity. Evolution or collapse equation is derived from dynamical equations by performing linear perturbation on them. Instability range is explored in both Newtonian and post-Newtonian regimes with the help of adiabetic index, which defines the impact of physical parameters on the instability range. Some conditions are imposed on physical quantities to secure the stability of the gravitating sources.

11 pages

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Cited by in corpus (11)

• $f(Q,T)$ gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• $f(R,T)$ models applied to Baryogenesis
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Dynamical features of an anisotropic cosmological model
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Influence of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity on Cylindrical Collapse
• Study of Charged Cylindrical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity