Junction Conditions and Consequences of Quasi-Spherical Space-Time with Electro-Magnetic Field and Vaidya Matric

TL;DR

This paper investigates the junction conditions between exterior and interior spacetimes in a quasi-spherical gravitational collapse scenario with electromagnetic fields, analyzing horizon formation and singularity timing.

Contribution

It introduces a detailed analysis of junction conditions in a magneto-hydrodynamic collapse with electromagnetic fields and dissipation, extending previous models.

Findings

Apparent horizon formation time is evaluated.

Time difference between horizon and singularity is analyzed.

Conditions for gravitational collapse with electromagnetic effects are established.

Abstract

In this work the junction conditions between the exterior Reissner-Nordstrom-Vaidya space-time with the interior quasi-spherical Szekeres space-time have been studied for analyzing gravitational collapse in the presence of a magneto-hydrodynamic fluid undergoing dissipation in the form of heat flow. We have discussed about the apparent horizon and have evaluated the time difference between the formation of apparent horizon and central singularity.