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Event Horizons in Numerical Relativity II: Analyzing the Horizon
General Relativity and Quantum Cosmology · Submitted 23 Apr 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We present techniques and methods for analyzing the dynamics of event horizons in numerically constructed spacetimes.
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The abstract, sentence by sentence
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 investigated. The first class consists of proper geometrical measures of the horizon which allow us comparison with perturbation theory and powerful global theorems. The second class involves the location and study of horizon generators. The third class includes the induced horizon 2-metric in the generator comoving coordinates and a set of membrane-paradigm like quantities. Applications to several distorted, rotating, and colliding black hole spacetimes are provided as examples of these techniques.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present techniques and methods for analyzing the dynamics of event horizons in numerically constructed spacetimes. | contribution 1.00 | 0.87 | 0.16 | asserted 0.99 |
| s1 | There are three classes of analytical tools we have investigated. | contribution 0.77 | 0.83 | 0.03 | asserted 1.00 |
| s2 | The first class consists of proper geometrical measures of the horizon which allow us comparison with perturbation theory and powerful global theorems. | method 0.80 | 0.57 | 0.06 | asserted 1.00 |
| s3 | The second class involves the location and study of horizon generators. | method 0.61 | 0.69 | 0.03 | asserted 0.96 |
| s4 | The third class includes the induced horizon 2-metric in the generator comoving coordinates and a set of membrane-paradigm like quantities. | method 0.62 | 0.73 | 0.05 | asserted 0.99 |
| s5 | Applications to several distorted, rotating, and colliding black hole spacetimes are provided as examples of these techniques. | contribution 0.73 | 0.88 | 0.12 | asserted 1.00 |
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Original abstract
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 investigated. The first class consists of proper geometrical measures of the horizon which allow us comparison with perturbation theory and powerful global theorems. The second class involves the location and study of horizon generators. The third class includes the induced horizon 2-metric in the generator comoving coordinates and a set of membrane-paradigm like quantities. Applications to several distorted, rotating, and colliding black hole spacetimes are provided as examples of these techniques.
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Studies of multiple-BH systems have addressed the behaviour of trapped surfaces and tubes [ref] and event horizons [ref] during the dynamical many-body phase.
Falloff of the Weyl scalars in binary black hole spacetimes · Introduction · 1.00
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