Conformally covariant parametrizations for initial data in some modified Einstein gravity theories

TL;DR

This paper introduces new conformal parametrizations for initial data in certain modified Einstein gravity theories, some of which lead to conformally covariant systems, enhancing the mathematical framework for these theories.

Contribution

The paper develops additional conformal parametrizations that result in conformally covariant systems within modified Einstein gravity theories, expanding existing methods.

Findings

New conformal parametrizations proposed

Some parametrizations yield conformally covariant systems

Enhances mathematical tools for modified gravity theories

Abstract

We propose further conformal parametrizations for initial data in some modified Einstein gravity theories. Some of them give rise to conformally covariant systems.