Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apre12002l&link_type=abstract
American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As
Astronomy and Astrophysics
Astrophysics
Scientific paper
There is strong evidence indicating that the particular form used to recast the Einstein equation as a set of 3+1 evolution equations has a fundamental impact on the stability properties of numerical evolutions involving black holes and neutron stars. Presently, the longest evolutions have been obtained using a parametrized hyperbolic system developed by Kidder, Scheel and Teukolsky or a conformal-traceless (CT) system introduced by Baumgarte, Shapiro, Shibata and Nakamura (BSSN). I will present results from 3D single black hole evolutions using a new CT system. While this new system has some elements in common with the BSSN system, it differs in the absence of non-linear terms terms involving the extrinsic curvature. I will discuss the stability properties of this new CT system and compare its performance with the BSSN system.
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