Numerical simulations with a first-order BSSN formulation of Einstein's field equations

Authors

J. David Brown, NC State University
Peter Diener, Louisiana State University
Scott E. Field, University of Maryland, College Park
Jan S. Hesthaven, Brown University
Frank Herrmann, University of Maryland, College Park
Abdul H. Mroué, L’Institut Canadien d’Astrophysique Théorique
Olivier Sarbach, Universidad Michoacana de San Nicolás de Hidalgo
Erik Schnetter, Louisiana State University
Manuel Tiglio, University of Maryland, College Park
Michael Wagman, Brown University

Document Type

Article

Publication Date

4-2-2012

Abstract

We present a new fully first-order strongly hyperbolic representation of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's equations with optional constraint damping terms. We describe the characteristic fields of the system, discuss its hyperbolicity properties, and present two numerical implementations and simulations: one using finite differences, adaptive mesh refinement, and, in particular, binary black holes, and another one using the discontinuous Galerkin method in spherical symmetry. The results of this paper constitute a first step in an effort to combine the robustness of Baumgarte-Shapiro-Shibata-Nakamura evolutions with very high accuracy numerical techniques, such as spectral collocation multidomain or discontinuous Galerkin methods. © 2012 American Physical Society.

Publication Source (Journal or Book title)

Physical Review D - Particles, Fields, Gravitation and Cosmology

Recommended Citation

Brown, J., Diener, P., Field, S., Hesthaven, J., Herrmann, F., Mroué, A., Sarbach, O., Schnetter, E., Tiglio, M., & Wagman, M. (2012). Numerical simulations with a first-order BSSN formulation of Einstein's field equations. Physical Review D - Particles, Fields, Gravitation and Cosmology, 85 (8) https://doi.org/10.1103/PhysRevD.85.084004