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Numerical stability of the AA evolution system compared to the ADM and BSSN systems
Nina Jansen, Bernd Bruegmann, Wolfgang Tichy
We explore the numerical stability properties of an evolution system suggested by Alekseenko and Arnold. We examine its behavior on a set of standardized testbeds, and we evolve a…
Quasi-equilibrium binary black hole sequences for puncture data derived from helical Killing vector conditions
Wolfgang Tichy, Bernd Bruegmann
We construct a sequence of binary black hole puncture data derived under the assumptions (i) that the ADM mass of each puncture as measured in the asymptotically flat space at the…
Maximal Slicing for Puncture Evolutions of Schwarzschild and Reissner-Nordström Black Holes
Bernd Reimann, Bernd Bruegmann
We prove by explicit construction that there exists a maximal slicing of the Schwarzschild spacetime such that the lapse has zero gradient at the puncture. This boundary condition…
Gauge conditions for binary black hole puncture data based on an approximate helical Killing vector
Wolfgang Tichy, Bernd Bruegmann, Pablo Laguna
We show that puncture data for quasicircular binary black hole orbits allow a special gauge choice that realizes some of the necessary conditions for the existence of an approximat…