Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity

Simple item page
dc.creatorAlcubierre, Miguel
dc.creatorAllen, Gabrielle
dc.creatorBruegmann, Bernd
dc.creatorSeidel, Edward
dc.creatorSuen, Wai-Mo
dc.date1999-08-31
dc.date2000-10-06
dc.date.accessioned2026-07-07T12:01:27Z
dc.date.available2026-07-07T12:01:27Z
dc.descriptionWe study the stability properties of the standard ADM formulation of the 3+1 evolution equations of general relativity through linear perturbations of flat spacetime. We focus attention on modes with zero speed of propagation and conjecture that they are responsible for instabilities encountered in numerical evolutions of the ADM formulation. These zero speed modes are of two kinds: pure gauge modes and constraint violating modes. We show how the decoupling of the gauge by a conformal rescaling can eliminate the problem with the gauge modes. The zero speed constraint violating modes can be dealt with by using the momentum constraints to give them a finite speed of propagation. This analysis sheds some light on the question of why some recent reformulations of the 3+1 evolution equations have better stability properties than the standard ADM formulation.
dc.description15 pages, 9 figures. Added a new section, plus incorporated many comments made by referee
dc.identifierhttps://arxiv.org/abs/gr-qc/9908079
dc.identifierhttp://arxiv.org/abs/gr-qc/9908079
dc.identifierPhys.Rev.D62:124011,2000
dc.identifierdoi:10.1103/PhysRevD.62.124011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207100
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTowards an understanding of the stability properties of the 3+1 evolution equations in general relativity
dc.typetext

Files

Collections

arXiv