New code for equilibriums and quasiequilibrium initial data of compact objects. II. Convergence tests and comparisons of binary black hole initial data

TL;DR

This paper evaluates the convergence and compares initial data for binary black holes generated by the COCAL code with that from KADATH, demonstrating consistent results and presenting new initial data sequences.

Contribution

It provides convergence tests for COCAL and compares its binary black hole initial data with KADATH, highlighting their agreement and introducing new initial data sequences.

Findings

Convergence of COCAL data towards KADATH results for various orbital configurations.

Good agreement between COCAL and KADATH initial data for binary black holes.

New initial data sequences for equal mass, corotating binary black holes.

Abstract

COCAL is a code for computing equilibriums or quasiequilibrium initial data of single or binary compact objects based on finite difference methods. We present the results of supplementary convergence tests of COCAL code using time symmetric binary black hole data (Brill-Lindquist solution). Then, we compare the initial data of binary black holes on the conformally flat spatial slice obtained from COCAL and KADATH, where KADATH is a library for solving a wide class of problems in theoretical physics including relativistic compact objects with spectral methods. Data calculated from the two codes converge nicely towards each other, for close as well as largely separated circular orbits of binary black holes. Finally, as an example, a sequence of equal mass binary black hole initial data with corotating spins is calculated and compared with data in the literature.