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ANM4 - Numerical Methods in General Relativity and Algebraic Computation

Speaker

VASSET, Nicolas

Co-autors

Jerôme Novak and José Luis Jaramillo

Talk Title

Applying quasilocal horizon formalism to the computation of excised black hole spacetimes

Abstract

We present a numerical work aiming at the computation of excised initial data for black hole spacetimes in full general relativity, using Dirac gauge in the context of a constrained formalism for the Einstein equations. Introducing the isolated horizon formalism for black hole excision, we especially solve the non-conformally flat part of the equations, and assess the boundary condition problem for this part. In the stationary single black hole case, we present and justify a no-boundary treatment on the black hole horizon. We assess with our data the widely used conformally flat approximation for simulating axisymmetric black hole spacetimes. Finally, we discuss a previous suggestion in the literature for the boundary conditions for the conformal geometry on the horizon, and tackle the issue of applying this approach to the binary black hole case.

Talk view

anm4_vasset.pdf

 

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