Structure Scalars for Charged Dissipative Spherical Collapse in $f(R, T)$ Gravity

TL;DR

This paper explores how structure scalars derived from the Riemann tensor influence physical parameters in charged, dissipative spherical collapse within $f(R,T)$ gravity, highlighting effects of charge, dissipation, and modified gravity on collapse dynamics.

Contribution

It introduces the analysis of structure scalars in $f(R,T)$ gravity for charged dissipative collapse, revealing their impact on physical parameters and providing junction and energy condition conditions.

Findings

Structure scalar $X_{TF}$ influences energy density inhomogeneity.

Charge affects structure scalars and total mass-energy.

Physical parameters depend on structure scalars and complexity factors.

Abstract

We examine the structure scalars constructed from the orthogonal splitting of the Riemann tensor for the spacetime metric describing the interior of a charged matter configuration undergoing dissipative collapse in the framework of $f(R,T)$ gravity (where $R$ and $T$ are the Ricci scalar and the trace of energy-momentum tensor, respectively), and also the way these quantities influence the various physical parameters of the collapsing matter. In absence of dissipation, the energy density inhomogeneity is found to be influenced by the structure scalar $X_{TF}$ and the mass-function of the collapsing matter. Further, the presence of charge affects the structure scalars and the total mass-energy content. The dependence of the various physical parameters like heat dissipation, energy density inhomogeneity, evolution of the expansion scalar, the shear scalar, effective homogeneous energy density, and pressure anisotropy on the structure scalars, have been clearly indicated along with a discussion on the complexity factor of the collapsing configuration. The $f(R,T)$ junction conditions have been presented, showing the matching conditions for the matter Lagrangian and their derivatives at the boundary. The energy conditions are also presented and the possibility of violation of the Strong Energy Condition has been discussed.