Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation

Abstract

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-like 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.

arXiv comment19 pages, 22 figures

References in corpus (54)

• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• On the Numerical Integration of Einstein's Field Equations
• Gauge conditions for long-term numerical black hole evolutions without excision
• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• A simple construction of initial data for multiple black holes
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• New Formalism for Numerical Relativity
• High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions
• Calibration of Moving Puncture Simulations
• Supermassive recoil velocities for binary black-hole mergers with antialigned spins
• Spinning-black-hole binaries: The orbital hang up
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Recoil Velocities from Equal-Mass Binary-Black-Hole Mergers
• Numerical simulation of orbiting black holes
• Binary black hole merger dynamics and waveforms
• How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture
• Getting a kick out of numerical relativity
• Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
• Spin Flips and Precession in Black-Hole-Binary Mergers
• Gravitational recoil from spinning binary black hole mergers
• High-spin binary black hole mergers
• Where post-Newtonian and numerical-relativity waveforms meet
• Unequal Mass Binary Black Hole Plunges and Gravitational Recoil
• Geometry and Regularity of Moving Punctures
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Black Hole Excision for Dynamic Black Holes
• The final spin from the coalescence of aligned-spin black-hole binaries
• Binary Black Holes: Spin Dynamics and Gravitational Recoil
• Spin-orbit interactions in black-hole binaries
• Binary Black Hole Mergers in 3d Numerical Relativity
• Reducing eccentricity in black-hole binary evolutions with initial parameters from post-Newtonian inspiral
• Foundations of multiple black hole evolutions
• Filling the holes: Evolving excised binary black hole initial data with puncture techniques
• Asymptotically Flat Initial Data with Prescribed Regularity at Infinity
• Where do moving punctures go?
• Analytical Representation of a Black Hole Puncture Solution
• Excision without excision: the relativistic turducken
• Late time behaviour of the maximal slicing of the Schwarzschild black hole
• Puncture Evolution of Schwarzschild Black Holes
• Close encounters of three black holes
• Trapped Surfaces in Vacuum Spacetimes
• Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse: Part I
• Beyond the Bowen-York extrinsic curvature for spinning black holes
• Relativistic hydrodynamics in the presence of puncture black holes
• A hyperbolic slicing condition adapted to Killing fields and densitized lapses
• Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasi-equilibrium?
• Initial Data for General Relativity with Toroidal Conformal Symmetry
• Comments on Bona-Masso type slicing conditions in long-term black hole evolutions
• Maximal Slicing for Puncture Evolutions of Schwarzschild and Reissner-Nordström Black Holes
• Late Time Analysis for Maximal Slicing of Reissner-Nordström Puncture Evolutions
• Schwarzschild Tests of the Wahlquist-Estabrook-Buchman-Bardeen Tetrad Formulation for Numerical Relativity
• Slice Stretching Effects for Maximal Slicing of a Schwarzschild Black Hole

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