2000/08/31 by Viqar Husain, Michel Olivier · 70 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Event horizon #Horizon #Implosion #Pulse (music) #Quantum Electrodynamics and Casimir Effect #RADIUS #Scalar (mathematics) #Scalar field #Spacetime #gr-qc #hep-th #physics.comp-ph
paper · pdf · doi:10.1088/0264-9381/18/2/101
published in Classical and Quantum Gravity 18(2), L1-L9 (IOP Publishing) · 10 pages, 1 figure; references added, to appear in CQG(L)
arxiv created 2000/12/11 · openalex publication_date 2000/12/22 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We describe the results of a numerical calculation of circularly symmetric scalar field collapse in three spacetime dimensions with a negative cosmological constant. The procedure uses a double null formulation of the Einstein-scalar equations. We see evidence of black hole formation on first implosion of a scalar pulse if the initial pulse amplitude A is greater than a critical value A * . Sufficiently near criticality the apparent horizon radius r AH grows with pulse amplitude according to the formula r AH ~( A - A * ) 0.81 .