Can we prescribe the physical parameters of multiple black holes?

TL;DR

This paper demonstrates that the physical parameters of multiple black holes can be prescribed in initial data configurations using a superposition method, ensuring the global charges are uniquely determined by individual black hole parameters.

Contribution

It extends the superposed Kerr-Schild approach to multiple black holes, showing global charges can be prescribed and are uniquely determined by individual black hole parameters.

Findings

Global ADM quantities can be prescribed in initial data.

Global charges are uniquely determined by individual black hole parameters.

Method generalizes to multiple black hole systems.

Abstract

The parabolic-hyperbolic form of the constraints and superposed Kerr-Schild black holes have already been used to provide a radically new initialization of binary black hole configurations. The method generalizes straightforwardly to multiple black hole systems. This paper is to verify that each of the global Arnowitt-Deser-Misner quantities of the constructed multiple black hole initial data can always be prescribed, as desired, in advance of solving the constraints. These global charges are shown to be uniquely determined by the physical parameters of the involved individual Kerr-Schild black holes.