Evolution of Kerr-Schild type initial data for binary black holes using the horizon penetrating Teukolsky equation

TL;DR

This paper demonstrates the evolution of binary black hole initial data using a horizon-penetrating Teukolsky equation, confirming results consistent with previous Zerilli equation approaches.

Contribution

It introduces the use of the Kerr-Schild type Teukolsky equation for evolving binary black hole data, providing an alternative method to Zerilli-based evolution.

Findings

Results agree with Zerilli equation evolution

Validates Kerr-Schild Teukolsky approach for binary black holes

Supports close limit approximation for initial data evolution

Abstract

We use the Kerr-Schild type Teukolsky equation (horizon penetrating) to evolve binary black hole initial data as proposed by Bishop {\em et al.} in the close limit. Our results are in agreement with those recently obtained by Sarbach {\em et al.} from the Zerilli equation evolution of the same initial data.