Dynamical spacetimes and gravitational radiation in a Fully Constrained Formulation

TL;DR

This paper evaluates the hyperbolic sector of the Fully Constrained Formulation (FCF) in numerical relativity, demonstrating improved performance over the Conformally Flat Condition (CFC) approximation in the CoCoNuT code.

Contribution

It provides a detailed analysis and validation of the FCF's hyperbolic sector, enhancing the numerical relativity toolkit with a more accurate formulation.

Findings

FCF's hyperbolic sector performs reliably in simulations.

Upgraded CoCoNuT code outperforms previous CFC-based versions.

Validation confirms FCF's suitability for gravitational wave modeling.

Abstract

This contribution summarizes the recent work carried out to analyze the behavior of the hyperbolic sector of the Fully Constrained Formulation (FCF) derived in Bonazzola et al. 2004. The numerical experiments presented here allows one to be confident in the performances of the upgraded version of CoCoNuT's code by replacing the Conformally Flat Condition (CFC) approximation of the Einstein equations by the FCF.