Application of initial data sequences to the study of Black Hole dynamical trapping horizons

TL;DR

This paper investigates the nature of apparent horizon jumps in binary black hole evolutions by using sequences of initial data to explore the spacetime structure of dynamical trapping horizons.

Contribution

It introduces a novel approach of using uni-parametric initial data sequences to analyze the plausibility of the dynamical trapping horizon framework in black hole evolutions.

Findings

Initial data sequences support the spacetime picture of a single hypersurface with multiple trapped surfaces.

Methodology offers insights into the qualitative features of black hole evolutions.

Work in progress aims to validate the dynamical trapping horizon model.

Abstract

Non-continuous "jumps" of Apparent Horizons occur generically in 3+1 (binary) black hole evolutions. The dynamical trapping horizon framework suggests a spacetime picture in which these "Apparent Horizon jumps" are understood as spatial cuts of a single spacetime hypersurface foliated by (compact) marginally outer trapped surfaces. We present here some work in progress which makes use of uni-parametric sequences of (axisymmetric) binary black hole initial data for exploring the plausibility of this spacetime picture. The modelling of Einstein evolutions by sequences of initial data has proved to be a successful methodological tool in other settings for the understanding of certain qualitative features of evolutions in restricted physical regimes.