Critical behaviour in spherically symmetric scalar field collapse in any dimension

Physics

Scientific paper

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Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

Gravitational collapse in general relativity is known to exhibit remarkable critical behaviour. Until recently this critical behaviour has only been analyzed numerically in special cases. We describe a formalism which allows the construction of code that calculates spherically symmetric scalar field collapse with spacetime dimension and cosmological constant as input parameters. This code correctly reproduces all previously known results, and sets the stage for a systematic analysis of critical behaviour as a function of spacetime dimension and cosmological constant. New results in this direction are presented.

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