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Transition to light-like trajectories in thin shell dynamics

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Date

2018-11

Authors

Mann, Robert B.
Nagle, Ian
Terno, Daniel R.

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Journal ISSN

Volume Title

Publisher

Elsevier

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.

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Keywords

thin shell

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