Relativistic disks with two charged perfect fluids components

TL;DR

This paper introduces a method to model relativistic thin disks composed of two charged perfect fluids within Einstein-Maxwell theory, providing explicit formulas and examples for their physical properties.

Contribution

It presents a novel approach to describe exact solutions of Einstein-Maxwell equations for disks with two charged fluids, including explicit expressions and special cases.

Findings

Explicit formulas for energies, pressures, and charge densities of the two fluids.

An example of a specific disk solution is provided.

Analysis of disks with barotropic equations of state.

Abstract

A method to describe exact solutions of the Einstein-Maxwell field equations in terms of relativistic thin disks constituted by two perfect charged fluids is presented. Describing the surface of the disk as a single charged fluid we find explicit expressions for the rest energies, the pressures and the electric charge densities of the two fluids. An explicit example is given. The particular case of the thin disks composed by two charged perfect fluids with barotropic equation of state is also presented.