Evolutions of centered Brill waves with a pseudospectral method
arXiv:1706.01829 · doi:10.1103/PhysRevD.96.104051
Abstract
The pseudospectral code bamps is used to evolve axisymmetric gravitational waves. We consider a one-parameter family of Brill wave initial data, taking the seed function and strength parameter of Holz et. al. A careful comparison is made to earlier work. Our results are mostly in agreement with the literature, but we do find that some amplitudes reported elsewhere as subcritical evolve to form apparent horizons. Related to this point we find that by altering the slicing condition, the position of the peak of the Kretschmann scalar in these supercritical data can be controlled so that it appears away from the symmetry axis before the method fails, demonstrating that such behavior is at least partially a coordinate effect. We are able to tune the strength parameter to an interval of range around the onset of apparent horizon formation. In this regime we find that large spikes appear in the Kretschmann scalar on the symmetry axis but away from the origin. From the supercritical side disjoint apparent horizons form around these spikes. On the subcritical side, down to this range, evidence of power-law scaling of the Kretschmann scalar is not conclusive, but the data can be fitted as a power-law with periodic wiggle.
11 pages, 5 figures
References in corpus (27)
- Evolution of Binary Black Hole Spacetimes
- Calibration of Moving Puncture Simulations
- A New Generalized Harmonic Evolution System
- Critical phenomena in gravitational collapse
- Compact binary evolutions with the Z4c formulation
- Simulations of Binary Black Hole Mergers Using Spectral Methods
- Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
- Numerical relativity simulations of binary neutron stars
- Well-posedness of formulations of the Einstein equations with dynamical lapse and shift conditions
- Improved methods for simulating nearly extremal binary black holes
- Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
- Testing outer boundary treatments for the Einstein equations
- Critical Collapse of the Massless Scalar Field in Axisymmetry
- Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
- Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity
- Numerical Relativity in Spherical Polar Coordinates: Evolution Calculations with the BSSN Formulation
- Scaling of curvature in sub-critical gravitational collapse
- All nonspherical perturbations of the Choptuik spacetime decay
- Black Hole Excision with Multiple Grid Patches
- Numerical evolution of Brill waves
- A Pseudospectral Method for Gravitational Wave Collapse
- Solving 3D relativistic hydrodynamical problems with WENO discontinuous Galerkin methods
- Collapse of Nonlinear Gravitational Waves in Moving-Puncture Coordinates
- On critical collapse of gravitational waves
- Axisymmetric Numerical Relativity
- Solving the Hamiltonian constraint for 1+log trumpets
- Dual Foliation Formulations of General Relativity
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