Berlin 2014 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 24: Numerical Relativity II

GR 24.3: Talk

Thursday, March 20, 2014, 17:55–18:15, SPA SR220

An axisymmetric formulation in spherical coordinates — Oliver Rinne and •Christian Schell — Max Planck-Institute for Gravitational Physics, Golm

In this talk we present a new formulation for a non-rotating axisymmetric spacetime in vacuum. The majority of formulations for this situation uses cylindrical coordinates. In contrast to those we introduce spherical coordinates. A general problem for both choices of coordinate systems in axisymmetry is the occurrence of a coordinate singularity at the axis of symmetry. Spherical harmonics are manifestly regular at the axis and hence take care of that issue automatically. Therefore we express all our variables in the corresponding harmonics. We also address the question of an appropriate gauge choice.