Evolution of Brill waves with an adaptive pseudospectral method
arXiv:2205.04379 · doi:10.1103/PhysRevD.106.024036
Abstract
As a first application of the new adaptive mesh functionality of the the pseudospectral numerical relativity code bamps, we evolve twist-free, axisymmetric gravitational waves close to the threshold of collapse. We consider six different one-parameter families of Brill wave initial data; two centered and four off-centered families. Of these the latter have not been treated before. Within each family we tune the parameter towards the threshold of black hole formation. The results for centered data agree with earlier work. Our key results are first, that close to the threshold of collapse the global peak in the curvature appears on the symmetry axis but away from the origin, indicating that in the limit they will collapse around disjoint centers. This is confirmed in three of the six families by explicitly finding apparent horizons around these large curvature peaks. Second, we find evidence neither for strict discrete-self-similarity nor for universal power-law scaling of curvature quantities. Finally, as in Ledvinka & Khirnov's recent study, we find approximately universal strong curvature features. These features appear multiple times within individual spacetimes close to the threshold and are furthermore present within all six families.
arXiv comment11 pages, 7 figures
References in corpus (37)
- Evolution of Binary Black Hole Spacetimes
- A New Generalized Harmonic Evolution System
- Critical phenomena in gravitational collapse
- A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
- Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
- Understanding critical collapse of a scalar field
- Choptuik scaling in null coordinates
- Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
- Critical Collapse of the Massless Scalar Field in Axisymmetry
- Scaling of curvature in sub-critical gravitational collapse
- Pseudo-spectral apparent horizon finders: an efficient new algorithm
- All nonspherical perturbations of the Choptuik spacetime decay
- Black Hole Excision with Multiple Grid Patches
- Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity
- Numerical evolution of Brill waves
- A Pseudospectral Method for Gravitational Wave Collapse
- Collapse of Nonlinear Gravitational Waves in Moving-Puncture Coordinates
- Constrained evolution in axisymmetry and the gravitational collapse of prolate Brill waves
- On critical collapse of gravitational waves
- Evolutions of centered Brill waves with a pseudospectral method
- A pseudospectral matrix method for time-dependent tensor fields on a spherical shell
- Critical phenomena in the gravitational collapse of electromagnetic waves
- Critical Collapse of Scalar Fields Beyond Axisymmetry
- Universality of curvature invariants in critical vacuum gravitational collapse
- Aspherical deformations of the Choptuik spacetime
- Explicit solution of the linearized Einstein equations in TT gauge for all multipoles
- Spike behavior in the approach to spacetime singularities
- Initial data for Einstein's equations with superposed gravitational waves
- Spectral methods for the wave equation in second-order form
- Choptuik's critical spacetime exists
- Critical behavior in 3-d gravitational collapse of massless scalar fields
- Slicing conditions for axisymmetric gravitational collapse of Brill waves
- Critical phenomena in gravitational collapse with two competing massless matter fields
- Critical phenomena in the gravitational collapse of electromagnetic dipole and quadrupole waves
- A semi-linear wave model for critical collapse
- An Implementation of DF-GHG with Application to Spherical Black Hole Excision
- A fast apparent horizon algorithm
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- Critical phenomena in the collapse of gravitational waves
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- Twist-free axisymmetric critical collapse of a complex scalar field
- Formulation Improvements for Critical Collapse Simulations
- Simulating binary black hole mergers using discontinuous Galerkin methods
- Critical phenomena in gravitational collapse with competing scalar field and gravitational waves, in 4+1 dimensions
- Twist and higher modes of a complex scalar field at the threshold of collapse
- Brill Waves with Slow Fall-Off Towards Spatial Infinity
- Pseudospectral implementation of the Einstein-Maxwell system