Finding Apparent Horizons in Dynamic 3D Numerical Spacetimes

Details Finding Apparent Horizons in Dynamic 3D Numerical Spacetimes Finding Apparent Horizons in Dynamic 3D Numerical Spacetimes

1996-09-25

arxiv.org/abs/gr-qc/9609059v3

Phys.Rev. D58 (1998) 024003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 13 figures, LaTex, to appear in Phys. Rev. D. Minor changes made

Scientific paper

10.1103/PhysRevD.58.024003

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.

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