Transition to light-like trajectories in thin shell dynamics
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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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Robert B. Mann, Ian Nagle, Daniel R. Terno (2018). Transition to light-like trajectories in thin shell dynamics. UWSpace. http://hdl.handle.net/10012/14297
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