Dynamical spacetimes and gravitational radiation in a Fully Constrained Formulation

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.

4 pages, 7 figures. Accepted for publication in Journal of Physics: Conference Series, Proceedings of the 8th Edoardo Amaldi Conference on Gravitational Waves

References in corpus (4)

• A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
• Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue
• Waveless Approximation Theories of Gravity
• Mathematical Issues in a Fully-Constrained Formulation of Einstein Equations

Cited by in corpus (3)

• Discontinuous Galerkin methods for general-relativistic hydrodynamics: formulation and application to spherically symmetric spacetimes
• Gravitational waves in dynamical spacetimes with matter content in the Fully Constrained Formulation
• Maximal slicings in spherical symmetry: local existence and construction