English

First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields

General Relativity and Quantum Cosmology 2009-11-07 v2

Abstract

First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equations. In previous work, the lapse and shift have typically not been considered part of the hyperbolic system and have been prescribed independently. This can be expensive computationally, especially if the prescription involves solving elliptic equations. Therefore, including the lapse and shift in the hyperbolic system could be advantageous for numerical work. In this paper, two first-order symmetrizable hyperbolic systems are presented that include the lapse and shift as dynamical fields and have only physical characteristic speeds.

Keywords

Cite

@article{arxiv.gr-qc/0204068,
  title  = {First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields},
  author = {Kashif Alvi},
  journal= {arXiv preprint arXiv:gr-qc/0204068},
  year   = {2009}
}

Comments

11 pages

R2 v1 2026-07-22T12:35:35.231Z