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GR: Fachverband Gravitation und Relativitätstheorie

GR 11: Numerische Relativitätstheorie II

GR 11.2: Talk

Thursday, March 12, 2009, 14:20–14:40, A214

Numerical black hole initial data with low eccentricity based on post-Newtonian orbital parameters — Benny Walther, Bernd Brügmann, and •Doreen Müller — Theoretisch-Physikalisches Institut, FSU Jena

We present our implementation of an algorithm for finding initial data for numerical black hole binary simulations resulting in quasi-circular orbits with initial separations of about 10 M, where M is the total mass of the two black holes. Our method uses direct parameters from an analytical approach relying on a Hamiltonian formulation with post-Newton approximated Hamiltonian and radiation reaction term. We compare the use of different Hamiltonians and energy fluxes that can be found in the literature and measure the eccentricity of the resulting orbits where a low eccentricity is our measure of success. Our procedure allows us to obtain as low eccentricities as previously achieved with a PN integration procedure for equal mass non-spinning binaries. In addition, we obtain low eccentricities for the unequal mass case and for spinning binaries compared to previously used PN techniques.