Generic Tracking of Multiple Apparent Horizons with Level Flow

Abstract

We report the development of the first apparent horizon locator capable of finding multiple apparent horizons in a ``generic'' numerical black hole spacetime. We use a level-flow method which, starting from a single arbitrary initial trial surface, can undergo topology changes as it flows towards disjoint apparent horizons if they are present. The level flow method has two advantages: 1) The solution is independent of changes in the initial guess and 2) The solution can have multiple components. We illustrate our method of locating apparent horizons by tracking horizon components in a short Kerr-Schild binary black hole grazing collision.

13 pages including figures, submitted to Phys Rev D

References in corpus (3)

• On the Stability of the Iterated Crank-Nicholson Method in Numerical Relativity
• Approximate Analytical Solutions to the Initial Data Problem of Black Hole Binary Systems
• Adaptive mesh refinement approach to construction of initial data for black hole collisions

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• Physics and Initial Data for Multiple Black Hole Spacetimes
• The existence and stability of marginally trapped surfaces
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• Finding apparent horizons and other two-surfaces of constant expansion
• Locating Boosted Kerr and Schwarzschild Apparent Horizons
• Numerical computation of constant mean curvature surfaces using finite elements
• Horizons in a binary black hole merger I: Geometry and area increase
• Multipole moments on the common horizon in a binary-black-hole simulation
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• Tracking Black Holes in Numerical Relativity
• Gauge fixing for the simulation of black hole spacetimes
• Event and Apparent Horizon Finders for 3+1 Numerical Relativity
• Adaptive Event Horizon Tracking and Critical Phenomena in Binary Black Hole Coalescence