Structure Scalars for Charged Cylindrically Symmetric Relativistic Fluids

TL;DR

This paper explores structure scalars derived from the Riemann tensor in charged, cylindrically symmetric relativistic fluids, linking them to fluid properties and analyzing charge effects on compact object evolution.

Contribution

It introduces a set of structure scalars for charged cylindrically symmetric fluids and relates them to dynamical equations and solutions of the Einstein field equations.

Findings

Structure scalars are directly related to fluid properties.

Charge influences the structure and evolution of compact objects.

All solutions can be expressed in terms of these scalars.

Abstract

We investigate some structure scalars developed through Riemann tensor for self-gravitating cylindrically symmetric charged dissipative anisotropic fluid. We show that these scalars are directly related to the fundamental properties of the fluid. We formulate dynamical-transport equation as well as the mass function by including charge which are then expressed in terms of structure scalars. The effects of electric charge are investigated in the structure and evolution of compact objects. Finally, we show that all possible solutions of the field equations can be written in terms of these scalars.