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GR: Fachverband Gravitation und Relativitätstheorie

GR 10: Numerische Relativitätstheorie II

GR 10.7: Vortrag

Mittwoch, 27. Februar 2013, 18:00–18:15, HS 6

Initial data for perturbed Kerr black holes on hyperboloidal slices — •David Schinkel, Marcus Ansorg, and Rodrigo Panosso Macedo — Theoretisch-Physikalisches Institut, Jena, Germany

We construct initial data corresponding to a single perturbed Kerr black hole in vacuum. These data are defined on specific hyperboloidal slices on which the mean extrinsic curvature K approaches a constant asymptotically. More precisely, we require that K obeys the Taylor expansion K=K₀ + O(σ⁴) where K₀ is a constant and σ describes a compactified spatial coordinate such that future null infinity (scri+) is represented by σ=0. We excise the singular interior of the black hole and assume an apparent horizon as inner boundary of the computational domain. Momentum and Hamiltonian constraints are solved by means of pseudo-spectral methods. We find exponential rates of convergence of our numerical solutions which are planned to be dynamically evolved in a future project.