The Evolution of Distorted Rotating Black Holes III: Initial Data

TL;DR

This paper introduces a new family of initial data sets for distorted rotating and Schwarzschild black holes, enabling detailed studies of black hole evolution and radiation emission.

Contribution

It presents a systematic construction and analysis of a large family of rotating black hole initial data sets, extending previous models and facilitating future dynamical studies.

Findings

Characterized the size and shape of apparent horizons.

Quantified the maximum radiation emitted during evolution.

Demonstrated the potential for 3D extension of these data sets.

Abstract

In this paper we study a new family of black hole initial data sets corresponding to distorted ``Kerr'' black holes with moderate rotation parameters, and distorted Schwarzschild black holes with even- and odd-parity radiation. These data sets build on the earlier rotating black holes of Bowen and York and the distorted Brill wave plus black hole data sets. We describe the construction of this large family of rotating black holes. We present a systematic study of important properties of these data sets, such as the size and shape of their apparent horizons, and the maximum amount of radiation that can leave the system during evolution. These data sets should be a very useful starting point for studying the evolution of highly dynamical black holes and can easily be extended to 3D.