A Parallel Adaptive Event Horizon Finder for Numerical Relativity

Abstract

With Advanced LIGO detecting the gravitational waves emitted from a pair of merging black holes in late 2015, we have a new perspective into the strong field regime of binary black hole systems. Event horizons are the defining features of such black hole spacetimes. We introduce a new code for locating event horizons in numerical simulations based on a Delaunay triangulation on a topological sphere. The code can automatically refine arbitrary regions of the event horizon surface to find and explore features such as the hole in a toroidal event horizon, as discussed in our companion paper. We also investigate various ways of integrating the geodesic equation and find evolution equations that can be integrated efficiently with high accuracy.

16 pages, 12 figures

References in corpus (6)

• Calibration of Moving Puncture Simulations
• Solving Einstein's Equations With Dual Coordinate Frames
• What does a binary black hole merger look like?
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• 3+1 geodesic equation and images in numerical spacetimes
• Revisiting Event Horizon Finders

Cited by in corpus (7)

• On choosing the start time of binary black hole ringdown
• Redshift factor and the first law of binary black hole mechanics in numerical simulations
• Numerical black hole initial data and shadows in dynamical Chern-Simons gravity
• A Finite Element Method for Angular Discretization of the Radiation Transport Equation on Spherical Geodesic Grids
• An Implementation of DF-GHG with Application to Spherical Black Hole Excision
• Elastic Scattering in General Relativistic Ray Tracing for Neutrinos
• The binary black hole explorer: on-the-fly visualizations of precessing binary black holes