Two physical characteristics of numerical apparent horizons
Ivan Booth
TL;DR
This paper adapts recent quasilocal horizon results into 3+1 general relativity, providing tools to measure the evolution speed and extremality proximity of apparent horizons for numerical relativity applications.
Contribution
It introduces new quantities to quantify apparent horizon dynamics and extremality, bridging theoretical results with practical numerical relativity needs.
Findings
Quantities for horizon evolution rate
Measures of proximity to equilibrium or extremality
Enhanced tools for numerical horizon analysis
Abstract
This article translates some recent results on quasilocal horizons into the language of general relativity so as to make them more useful to numerical relativists. In particular quantities are described which characterize how quickly an apparent horizon is evolving and how close it is to either equilibrium or extremality.
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