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.

19 pages, 22 figures

References in corpus (27)

• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Calibration of Moving Puncture Simulations
• Supermassive recoil velocities for binary black-hole mergers with antialigned spins
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• 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
• Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
• Getting a kick out of numerical relativity
• Spin Flips and Precession in Black-Hole-Binary Mergers
• High-spin binary black hole mergers
• Where post-Newtonian and numerical-relativity waveforms meet
• Geometry and Regularity of Moving Punctures
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• 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
• 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
• Excision without excision: the relativistic turducken
• Analytical Representation of a Black Hole Puncture Solution
• Puncture Evolution of Schwarzschild Black Holes
• Close encounters of three black holes
• Beyond the Bowen-York extrinsic curvature for spinning black holes
• Relativistic hydrodynamics in the presence of puncture black holes
• Comments on Bona-Masso type slicing conditions in long-term black hole evolutions

Cited by in corpus (35)

• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Relativistic magnetohydrodynamics in dynamical spacetimes: A new AMR implementation
• Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
• The numerical relativity breakthrough for binary black holes
• Simulations of black-hole binaries with unequal masses or non-precessing spins: accuracy, physical properties, and comparison with post-Newtonian results
• Coalescence of black hole--neutron star binaries
• Conformal Thin-Sandwich Solver for Generic Initial Data
• Status of black-hole-binary simulations for gravitational-wave detection
• Simulations of rotating neutron star collapse with the puncture gauge: end state and gravitational waveforms
• Dynamical damping terms for symmetry-seeking shift conditions
• An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
• The trumpet solution from spherical gravitational collapse with puncture gauges
• Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators
• Black hole initial data on hyperboloidal slices
• Evolution of near-extremal-spin black holes using the moving puncture technique
• Trumpet-puncture initial data for black holes
• Probing the puncture for black hole simulations
• A Simple Family of Analytical Trumpet Slices of the Schwarzschild Spacetime
• Gauge preheating with full general relativity
• Stationary hyperboloidal slicings with evolved gauge conditions
• Trumpet Slices in Kerr Spacetimes
• Stability of the puncture method with a generalized BSSN formulation
• Shock-avoiding slicing conditions: tests and calibrations
• Trumpet slices of the Schwarzschild-Tangherlini spacetime
• Spherically symmetric black hole spacetimes on hyperboloidal slices
• Bona-Masso slicing conditions and the lapse close to black-hole punctures
• Conformal diagrams for stationary and dynamical strong-field hyperboloidal slices
• Spinning black hole in the puncture method: Numerical experiments
• Inside the Final Black Hole: Puncture and Trapped Surface Dynamics
• Bondi Accretion in Trumpet Geometries
• Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing
• Dynamical perturbations of black-hole punctures: effects of slicing conditions
• Bona-Massó slices of Reissner-Nordström spacetimes
• Schwarzschild-de Sitter Spacetimes, McVittie Coordinates, and Trumpet Geometries
• Hyperboloidal neutron star and black hole initial data in spherical symmetry