Transition to light-like trajectories in thin shell dynamics
Abstract
It was recently shown that a massive thin shell that is sandwiched between a flat interior and an exterior geometry given by the outgoing Vaidya metric becomes null in a finite proper time. We investigate this transition for a general spherically-symmetric metric outside the shell and find that it occurs generically. Once the shell is null its persistence on a null trajectory can be ensured by several mechanisms that we describe. Using the outgoing Vaidya metric as an example we show that if a dust shell acquires surface pressure on its transition to a null trajectory it can evade the Schwarzschild radius through its collapse. Alternatively, the pressureless collapse may continue if the exterior geometry acquires a more general form.
Cite
@article{arxiv.1801.01981,
title = {Transition to light-like trajectories in thin shell dynamics},
author = {Robert B. Mann and Ian Nagle and Daniel R. Terno},
journal= {arXiv preprint arXiv:1801.01981},
year = {2018}
}
Comments
6+4 pages, 1 figure. Comments welcome