Spherically symmetric scalar field collapse in any dimension

Abstract

We describe a formalism and numerical approach for studying spherically symmetric scalar field collapse for arbitrary spacetime dimension d and cosmological constant Λ. The presciption uses a double null formalism, and is based on field redefinitions first used to simplify the field equations in generic 2−dimensional dilaton gravity. The formalism is used to construct code in which d and Λ are input parameters. We reproduce known results in d = 4 and d = 6 with Λ = 0, and present new results for d = 5 with zero and negative Λ. 04.70.Dy

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