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The Synergy between Numerical and Perturbative Approaches to Black Holes
Edward Seidel
I describe approaches to the study of black hole spacetimes via numerical relativity. After a brief review of the basic formalisms and techniques used in numerical black hole simul…
Black Hole Spectroscopy: Determining Waveforms from 3D Excited Black Holes
Gabrielle Allen, Karen Camarda, Edward Seidel
We present the first results for Cauchy nonlinear evolution of 3D, nonaxisymmetric distorted black holes. We focus on the extraction and verification of 3D waveforms determined by…
Evolution of Distorted Black Holes: A Perturbative Approach
Gabrielle Allen, Karen Camarda, Edward Seidel
We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbati…
Three-dimensional simulations of distorted black holes. I. Comparison with axisymmetric results
Karen Camarda, Edward Seidel
We consider the numerical evolution of black hole initial data sets, consisting of single black holes distorted by strong gravitational waves, with a full 3D, nonlinear evolution c…
Three Dimensional Numerical Relativity with a Hyperbolic Formulation
Carles Bona, Joan Masso, Edward Seidel +1
We discuss a successful three-dimensional cartesian implementation of the Bona-Massó hyperbolic formulation of the 3+1 Einstein evolution equations in numerical relativity. The num…
Event Horizons in Numerical Relativity II: Analyzing the Horizon
Joan Masso, Edward Seidel, Wai-Mo Suen +1
We present techniques and methods for analyzing the dynamics of event horizons in numerically constructed spacetimes. There are three classes of analytical tools we have investigat…
Adaptive computation of gravitational waves from black hole interactions
Philippos Papadopoulos, Edward Seidel, Lee Wild
We construct a class of linear partial differential equations describing general perturbations of non-rotating black holes in 3D Cartesian coordinates. In contrast to the usual app…