Dynamics and Collision of Massive Shells in Curved Backgrounds

TL;DR

This paper investigates the collision dynamics of massive shells in curved spacetimes, deriving a conservation-based constraint and comparing it with light-like shell collisions to understand phenomena like white hole lifespan and mass inflation.

Contribution

It introduces a new analytical framework for massive shell collisions in curved backgrounds, extending previous light-like shell models and exploring specific case solutions.

Findings

Derived a conservation law constraint for massive shell collisions.

Compared massive and light-like shell collision outcomes.

Highlighted phenomena such as white hole lifespan and mass inflation.

Abstract

We analyse the dynamics of the collision of two spherical massive shells in a generally spherically symmetric background, obtaining an expression from the conservation law that imposes a constraint between the different parameters involved. We study the light-like limit and make some comparisons of the predictions of our master equation with the results obtained in the case of collision of light-like shells, like the short life of white holes or the mass inflation phenomena. We present some particular cases of the constraint equation.