Spherical symmetric charged solution with cosmological constant

TL;DR

This paper derives a spherically symmetric charged fluid solution in Einstein's equations with a cosmological constant, analyzing its dynamics, singularities, and matching conditions with exterior spacetimes.

Contribution

It presents a new charged fluid solution with cosmological constant and examines its dynamics, matching conditions, and singularity behavior during collapse.

Findings

The system's dynamics depend on a specific function determining expansion, contraction, or bouncing.

Initial conditions influence the final state and nature of singularities.

Electric charge and cosmological constant affect singularity formation during collapse.

Abstract

A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region, the exterior spacetime is considered as RN-de Sitter (Reissner-Nordstrom de Sitter) and to complete solution matching conditions are examined. We show that the function which is related to the dynamics of the system will determine the fate of the system: expansion, contraction or bouncing situations may occur for different configurations. The initial conditions of the matter determine the final form of the system and therefore the nature of the singularities in the presence of the electric charge and the cosmological constant is examined to reveal their effects on the singularity formation during collapse.