Conformal thin-sandwich puncture initial data for boosted black holes

TL;DR

This paper develops a numerical method for constructing initial data of boosted black holes using the conformal thin-sandwich puncture approach, showing it matches previous solutions in gravitational radiation content and is independent of certain parameters.

Contribution

It introduces a conformal thin-sandwich puncture method for boosted black holes and demonstrates its equivalence to Bowen-York solutions in gravitational radiation content.

Findings

Conformal thin-sandwich puncture data match Bowen-York solutions in radiation content.

Physical properties are independent of the free slicing parameter.

Numerical solutions for boosted black holes are successfully obtained.

Abstract

We apply the puncture approach to conformal thin-sandwich black-hole initial data. We solve numerically the conformal thin-sandwich puncture (CTSP) equations for a single black hole with non-zero linear momentum. We show that conformally flat solutions for a boosted black hole have the same maximum gravitational radiation content as the corresponding Bowen-York solution in the conformal transverse-traceless decomposition. We find that the physical properties of these data are independent of the free slicing parameter.