2003/01/03 by M. W. Choptuik, Matthew W Choptuik, E. W. Hirschmann +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Coordinate system #Cosmology and Gravitation Theories #Dissipation #Formalism (music) #Gravitation #Gravitational collapse #Gravitational field #Gravitational wave #Numerical relativity #Pulsars and Gravitational Waves Research #Rotational symmetry #gr-qc
paper · pdf · doi:10.1088/0264-9381/20/9/318
published as Class.Quant.Grav. 20 (2003) 1857-1878 · 19 pages, 9 figures
arxiv created 2003/01/03 · openalex publication_date 2003/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a new numerical code designed to solve the Einstein field equations for axisymmetric spacetimes. The long-term goal of this project is to construct a code that will be capable of studying many problems of interest in axisymmetry, including gravitational collapse, critical phenomena, investigations of cosmic censorship and head-on black-hole collisions. Our objective here is to detail the (2+1)+1 formalism we use to arrive at the corresponding system of equations and the numerical methods we use to solve them. We are able to obtain stable evolution, despite the singular nature of the coordinate system on the axis, by enforcing appropriate regularity conditions on all variables and by adding numerical dissipation to hyperbolic equations.