Dynamics of a Spherical Null Shell within the Distributional Formalism

TL;DR

This paper derives the dynamics of a null thin shell in a spherically symmetric spacetime using the distributional formalism, demonstrating it yields results consistent with traditional methods.

Contribution

It introduces the distributional formalism to analyze null shell dynamics, confirming its equivalence with conventional approaches.

Findings

Distributional formalism reproduces known null shell dynamics.

Null shell behavior is consistent across different formalisms.

Method provides a rigorous mathematical framework for thin shell analysis.

Abstract

Dynamics of a null thin shell immersed in a generic spherically symmetric spacetime is obtained within the distributional formalism. It has been shown that the distributional formalism leads to the same result as in the conventional formalism.