Binary black hole circular orbits computed with COCAL

TL;DR

This paper presents initial results on binary black hole circular orbits computed with COCAL, solving Einstein's equations under specific assumptions to analyze physical characteristics of equal mass black hole systems.

Contribution

The work introduces a method to compute binary black hole orbits using COCAL with conformal flatness and maximal slicing assumptions, including horizon boundary conditions.

Findings

Sequence of equal mass black holes obtained

Orbital velocity determined by Schwarzschild behavior

Main physical characteristics calculated

Abstract

In this work we present our first results of binary black hole circular orbits using {\sc cocal}, the Compact Object CALculator. Using the 3+1 decomposition five equations are being solved under the assumptions of conformal flatness and maximal slicing. Excision is used and the appropriate apparent horizon boundary conditions are applied. The orbital velocity is determined by imposing a Schwarzschild behaviour at infinity. A sequence of equal mass black holes is obtained and its main physical characteristics are calculated.