Conformally covariant parameterizations for relativistic initial data

TL;DR

This paper explores conformally covariant parameterizations for relativistic initial data, revisiting existing methods to improve their naturalness for non-constant mean curvature scenarios.

Contribution

It introduces conformally covariant systems based on the Lichnerowicz-York and York methods, enhancing their applicability to non-constant mean curvature initial data.

Findings

Revised conformally covariant systems for initial data

Improved naturalness for non-constant mean curvature cases

Enhanced understanding of parameterization methods

Abstract

We revisit the Lichnerowicz-York method, and an alternative method of York, in order to obtain some conformally covariant systems. This type of parameterization is certainly more natural for non constant mean curvature initial data.