Citation:Hannam, M., Husa, S., Ohme, F., Brügmann, B. and Ó Murchadha, N. (2008) 'Wormholes and trumpets: Schwarzschild spacetime for the moving-puncture generation', Physical Review D, 78(6), 064020 (10pp). doi: 10.1103/PhysRevD.78.064020
We expand upon our previous analysis of numerical moving-puncture simulations of the Schwarzschild spacetime. We present a derivation of the family of analytic stationary 1 + log foliations of the Schwarzschild solution, and outline a transformation to isotropic coordinates. We discuss in detail the numerical evolution of standard Schwarzschild puncture data, and the new time-independent 1 + log data. Finally, we demonstrate that the moving-puncture method can locate the appropriate stationary geometry in a robust manner when a numerical code alternates between two forms of 1 + log slicing during a simulation.
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