TY - JOUR
T1 - Near-linear regime of gravitational waves in numerical relativity
AU - Anninos, Peter
AU - Massó, Joan
AU - Seidel, Edward
AU - Suen, Wai Mo
AU - Tobias, Malcolm
PY - 1996
Y1 - 1996
N2 - We report on a systematic study of the dynamics of gravitational waves in full 3D numerical relativity. We find that there exists an interesting regime in the parameter space of the wave configurations: a near-linear regime in which the amplitude of the wave is low enough that one expects the geometric deviation from flat spacetime to be negligible, but nevertheless, where nonlinearities can excite unstable modes of the Einstein evolution equations causing the metric functions to evolve out of control. The implications of this for numerical relativity are discussed.
AB - We report on a systematic study of the dynamics of gravitational waves in full 3D numerical relativity. We find that there exists an interesting regime in the parameter space of the wave configurations: a near-linear regime in which the amplitude of the wave is low enough that one expects the geometric deviation from flat spacetime to be negligible, but nevertheless, where nonlinearities can excite unstable modes of the Einstein evolution equations causing the metric functions to evolve out of control. The implications of this for numerical relativity are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0038959357&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.54.6544
DO - 10.1103/PhysRevD.54.6544
M3 - Article
AN - SCOPUS:0038959357
SN - 1550-7998
VL - 54
SP - 6544
EP - 6547
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 10
ER -