Problems and Successes in the Numerical Approach to the Conformal Field Equations

TL;DR

This paper reviews the development and challenges of using numerical methods to solve conformal field equations in general relativity, highlighting recent results and future directions for practical application.

Contribution

It presents the algorithms and recent progress in numerical conformal field equations, identifying key problems and proposing a roadmap for practical use.

Findings

Milestone result achieved by Huebner.

Identification of current problems in the conformal approach.

Outline of future steps toward practical implementation.

Abstract

This talk reports on the status of an approach to the numerical study of isolated systems with the conformal field equations. We first describe the algorithms used in a code which has been developed at AEI in the last years, and discuss a milestone result obtained by Huebner. Then we present more recent results as examples to sketch the problems we face in the conformal approach to numerical relativity and outline a possible roadmap toward making this approach a practical tool.