An adjustable law of motion for relativistic spherical shells

TL;DR

This paper derives classical and relativistic laws of motion for expanding spherical shells using the thin layer approximation, introducing a new parameter to better match theoretical predictions with observational data.

Contribution

It presents a novel relativistic law of motion for spherical shells and introduces a new parameter to improve theory-observation alignment.

Findings

Derived classical and relativistic laws of shell motion

Introduced a new parameter related to absorbed matter

Enhanced matching between theory and observational data

Abstract

A classical and a relativistic law of motion for an advancing shell are deduced applying the thin layer approximation. A new parameter connected with the quantity of absorbed matter in the expansion is introduced; this allows of matching theory and observation.