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Solving the Hamiltonian constraint for 1+log trumpets

Tim Dietrich and Bernd Brügmann

  • Theoretical Physics Institute, University of Jena, 07743 Jena, Germany

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Phys. Rev. D 89, 024014 – Published 21 January, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.024014

Abstract

The puncture method specifies black hole data on a hypersurface with the aid of a conformal rescaling of the metric that exhibits a coordinate singularity at the puncture point. When constructing puncture initial data by solving the Hamiltonian constraint for the conformal factor, the coordinate singularity requires special attention. The standard way to treat the pole singularity occurring in wormhole puncture data is not generally applicable to trumpet puncture data. We investigate a new approach based on inverse powers of the conformal factor and present numerical examples for single punctures of the wormhole and 1+log-trumpet type. Additionally, we describe a method to solve the Hamiltonian constraint for two 1+log trumpets for a given extrinsic curvature with a nonvanishing trace. We investigate properties of this constructed initial data during binary black hole evolutions and find that the initial gauge dynamics is reduced.

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Phys. Rev. D 89, 024014– Published 21 January, 2014
  • Received 20 September 2013

© 2014 American Physical Society

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