arXiv subjects
Publications and source records attributed to M. Birukou.
We describe a formalism for studying spherically symmetric collapse of the massless scalar field in any spacetime dimension, and for any value of the cosmological constant $Λ$. The formalism is used for numerical simulations of gravitational collapse in four spacetime dimensions with negative $Λ$. We observe critical behaviour at the onset of black hole formation, and find that the critical exponent is independent of $Λ$.
We describe a formalism and numerical approach for studying spherically symmetric scalar field collapse for arbitrary spacetime dimension d and cosmological constant Lambda. The presciption uses a double null formalism, and is based on field redefinitions first used to simplify the field equations in generic two-dimensional dilaton gravity. The formalism is used to construct code in which d and Lambda are input parameters. The code reproduces known results in d = 4 and d = 6 with Lambda = 0. We present new results for d = 5 with zero and negative Lambda.