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GR: Fachverband Gravitation und Relativitätstheorie

GR 16: Numerical Relativity

GR 16.3: Talk

Thursday, March 19, 2015, 15:40–16:00, H 2013

Numerical evolution of the axisymmetric vacuum Einstein equations in spherical coordinates: the linear case — •Christian Schell and Oliver Rinne — Max Planck Institute for Gravitational Physics, Golm

We discuss a new approach to solving the axisymmetric vacuum Einstein equations numerically. Spherical polar coordinates are best suited for situations such as gravitational collapse. Also they allow for a spectral approach using spherical harmonics. In this talk we consider the linearization of the equations about flat spacetime. We show why the considered situation requires a new gauge condition and we derive an exact solution for our choice. After regularizing at the origin we present numerical evolutions and discuss their properties.