Numerical Issues with Relativistic Periodic Orbits

Details Numerical Issues with Relativistic Periodic Orbits Numerical Issues with Relativistic Periodic Orbits

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprc12008o&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

Unfamiliar problems arise in a numerical approach to Einstein's equations for periodically orbiting black holes. The assumption that the fields rotate rigidly transforms the Einstein equations into a set of PDEs that are elliptical in an inner region and hyperbolic outside. Standard relaxation methods cannot be used for such a problem, though methods from transonic aerodynamics have been shown to work in analogous problems. We will show, in particular, the suitability of a certain spectral method when it is applied in an appropriate coordinate system.

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