Physics
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1719s&link_type=abstract
"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R
Physics
Scientific paper
We present tests and results of a new axisymmetric, fully general relativistic code with a perfect fluid matter field. Our implementation is based on the null cone formalism of Bondi [2] and Tamburino-Winicour [14,15]. 3D characteristic numerical relativity has been proven to be very stable and accurate for evolutions of black hole spacetimes [7]. Following previous work [8,1] we solve the Einstein equation for a stress-energy tensor of a perfect fluid in characteristic coordinates. The evolution of the matter fields is performed using relativistic high-resolution shock-capturing schemes [4,11,13] based upon Riemann solvers. The implementation of such schemes in a 3D characteristic code is the current subject of a collaboration (GRACE). In this work we restrict ourselves to axisymmetric spacetimes, building on the vacuum code of Gómez, Papadopoulos and Winicour [6]. Applications in spherical symmetry have been presented in [11,12,9]...
Font José A.
Muller Eduard
Papadopoulos Philippos
Siebel Florian
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