Puncture black hole initial data in the conformal thin-sandwich formalism

TL;DR

This paper explores constructing initial data for black holes using the conformal thin-sandwich formalism, demonstrating the feasibility of trumpet data configurations through numerical examples.

Contribution

It shows that trumpet black hole data can be constructed within the conformal thin-sandwich approach, extending previous limitations on wormhole data.

Findings

Successful numerical construction of boosted trumpet-puncture black holes

Extension of initial data methods to trumpet geometries

Demonstration of feasibility within the conformal thin-sandwich formalism

Abstract

We revisit the construction of puncture black hole initial data in the conformal thin-sandwich decomposition of Einstein's constraint equations. It has been shown previously that this approach cannot yield quasiequilibrium wormhole data, which connect two asymptotically flat spatial infinities. This argument does not apply to trumpet data, which connect the spatial infinity in one universe with the future timelike infinity of another. As a numerical demonstration we present results for a single boosted trumpet-puncture black holes, constructed in the original version of the conformal thin-sandwich formalism.