Finding apparent horizons in dynamic 3D numerical spacetimes

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چکیده

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Finding apparent horizons in numerical relativity.

We review various algorithms for finding apparent horizons in 3+1 numerical relativity. We then focus on one particular algorithm, in which we pose the apparent horizon equation H ≡ ∇in + Kijnn − K = 0 as a nonlinear elliptic (boundary-value) PDE on angular-coordinate space for the horizon shape function r = h(θ, φ), finite difference this PDE, and use Newton’s method or a variant to solve the ...

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ژورنال

عنوان ژورنال: Physical Review D

سال: 1998

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.58.024003