An axisymmetric gravitational collapse code

Matthew W. Choptuik, Eric W. Hirschmann, Steven L. Liebling, Frans Pretorius

Research output: Contribution to journalArticlepeer-review

67 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1857-1878
Number of pages22
JournalClassical and Quantum Gravity
Issue number9
StatePublished - May 7 2003

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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