Global solutions of a free boundary problem for selfgravitating scalar fields

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.

31 pages, revtex, to appear in the Classical and Quantum Gravity

References in corpus (5)

• Trapped surfaces and the Penrose inequality in spherically symmetric geometries
• Quasi-Localisation of Bondi-Sachs Energy Loss
• Cosmic Censorship for Some Spatially Homogeneous Cosmological Models
• Optical scalars in spherical spacetimes
• A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system

Cited by in corpus (6)

• Spherical gravitational collapse in N-dimensions
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Expanding and Collapsing Scalar Field Thin Shell
• Selfgravitating nonlinear scalar fields
• Gravitational collapse from smooth initial data with vanishing radial pressure
• Spherical scalar waves and gravity - red shift and backscattering