Numerical Methods for Spherically Symmetric Critical Collapse

Details Numerical Methods for Spherically Symmetric Critical Collapse Numerical Methods for Spherically Symmetric Critical Collapse

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1723t&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

We describe a new numerical code for studying critical phenomena in the spherically symmetric self-gravitating nonlinear SU(2) σ model, and our convergence tests to validate the code's accuracy. (We describe our physics results in two companion papers.) Our numerical code is based on an outgoing-null-cone formulation of the Einstein-matter equations, specialized to spherical symmetry, with freely falling grid points. We use the diamond integral scheme of Gomez & Winicour for the matter equation. We demonstrate 2nd order uniform convergence of our results - including the critical parameter p* - with grid spacing.

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