A fast stroboscopic spectral method for rotating systems in numerical relativity
arXiv:gr-qc/0703118 · doi:10.1088/0264-9381/24/16/005
Abstract
We present a numerical technique for solving evolution equations, as the wave equation, in the description of rotating astrophysical compact objects in comoving coordinates, which avoids the problems associated with the light cylinder. The technique implements a fast spectral matching between two domains in relative rotation: an inner spherical domain, comoving with the sources and lying strictly inside the light cylinder, and an outer inertial spherical shell. Even though the emphasis is placed on spectral techniques, the matching is independent of the specific manner in which equations are solved inside each domain, and can be adapted to different schemes. We illustrate the strategy with some simple but representative examples.
16 pages, 15 figures
References in corpus (25)
- 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
- Isolated and dynamical horizons and their applications
- Calibration of Moving Puncture Simulations
- Local existence of dynamical and trapping horizons
- Solving Einstein's Equations With Dual Coordinate Frames
- A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
- Numerical approach for high precision 3-D relativistic star models
- A relativistic formalism to compute quasi-equilibrium configurations of non-synchronized neutron star binaries
- Thermodynamics of binary black holes and neutron stars
- An explicit harmonic code for black-hole evolution using excision
- Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision
- Impact of the nuclear equation of state on the last orbits of binary neutron stars
- Periodic Solutions of the Einstein Equations for Binary Systems
- Absorbing boundary conditions for simulation of gravitational waves with spectral methods in spherical coordinates
- Quasi-stationary binary inspiral II: Radiation-balanced boundary conditions
- The Periodic Standing-Wave Approximation: Overview and Three Dimensional Scalar Models
- Radiation-balanced simulations for binary inspiral
- The Helically-Reduced Wave Equation as a Symmetric-Positive System
- The periodic standing-wave approximation: eigenspectral computations for linear gravity and nonlinear toy models
- Numerical Black Holes: A Moving Grid Approach
- The periodic standing-wave approximation: nonlinear scalar fields, adapted coordinates, and the eigenspectral method
- Quasistationary binary inspiral. I. Einstein equations for the two Killing vector spacetime
- Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes