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Global solutions of a free boundary problem for selfgravitating scalar fields

Edward Malec
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Abstract

The weak cosmic censorship hypothesis can be understood as a statement that there exists a global Cauchy evolution of a selfgravitating system outside an event horizon. The resulting Cauchy problem has a free null-like inner boundary. We study a selfgravitating spherically symmetric nonlinear scalar field. We show the global existence of a spacetime with a null inner boundary that initially is located outside the Schwarzschild radius or, more generally, outside an apparent horizon. The global existence of a patch of a spacetime that is exterior to an event horizon is obtained as a limiting case.

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Edward Malec. 1996-04-12. Global solutions of a free boundary problem for selfgravitating scalar fields. https://doi.org/10.1088/0264-9381%2F13%2F7%2F016

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