Models of Collapsing and Expanding Cylindrical Source in f(R,T) Theory

TL;DR

This paper investigates the dynamics of collapsing and expanding charged cylindrical sources within the $f(R,T)$ gravity framework, analyzing how charge and model parameters influence physical quantities and energy conditions.

Contribution

It introduces solutions for anisotropic charged cylinders in $f(R,T)$ gravity, exploring their collapse and expansion behaviors with detailed analysis of physical properties.

Findings

Energy conditions are satisfied in both collapse and expansion scenarios.

Charge and model parameters significantly affect density, pressure, and mass.

Expansion scalar determines whether the cylinder collapses or expands.

Abstract

We discuss the collapsing and expanding solutions of anisotropic charged cylinder in the context of $f(R,T)$ theory ($R$ represents the Ricci scalar and $T$ denotes the trace of energy-momentum tensor). For this purpose, we take an auxiliary solution of Einstein-Maxwell field equations and evaluate expansion scalar whose negative values lead to collapse and positive values give expansion. For both cases, the behavior of density, pressure, anisotropic parameter as well as mass is explored and the effects of charge as well as model parameter on these quantities are examined. The energy conditions are found to be satisfied for both solutions.