Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Finding apparent horizons in dynamic 3D numerical spacetimes

Finding apparent horizons in dynamic 3D numerical spacetimes We have developed a general method for finding apparent horizons in 3D numerical relativity. Instead of solving for the partial differential equation describing the location of the apparent horizons, we expand the closed 2D surfaces in terms of symmetric trace-free tensors and solve for the expansion coefficients using a minimization procedure. Our method is applied to a number of different spacetimes, including numerically constructed spacetimes containing highly distorted axisymmetric black holes in spherical coordinates, and 3D rotating, and colliding black holes in Cartesian coordinates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Finding apparent horizons in dynamic 3D numerical spacetimes

12 pages

Loading next page...
 
/lp/american-physical-society-aps/finding-apparent-horizons-in-dynamic-3d-numerical-spacetimes-HKfebA4wNm

References (13)

Publisher
American Physical Society (APS)
Copyright
Copyright © 1998 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.58.024003
Publisher site
See Article on Publisher Site

Abstract

We have developed a general method for finding apparent horizons in 3D numerical relativity. Instead of solving for the partial differential equation describing the location of the apparent horizons, we expand the closed 2D surfaces in terms of symmetric trace-free tensors and solve for the expansion coefficients using a minimization procedure. Our method is applied to a number of different spacetimes, including numerically constructed spacetimes containing highly distorted axisymmetric black holes in spherical coordinates, and 3D rotating, and colliding black holes in Cartesian coordinates.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 1998

There are no references for this article.