Einstein's equations in Ashtekar's variables constitute a symmetric hyperbolic system
Mirta S. Iriondo, Enzo O. Leguizamón, Oscar A. Reula
Abstract
We show that the 3+1 vacuum Einstein field equations in Ashtekar's variables constitutes a first order symmetric hyperbolic system for arbitrary but fixed lapse and shift fields, by suitable adding to the system terms proportional to the constraint equations.
Create a lesson
Related papers
Exact algebraic separation of the gravitoelectromagnetic perturbations of Kerr-Newman-(anti-)de Sitter black holes
Jun-Kun Zhao
Breakdown of hydrodynamic universality in causal first-order viscous neutron star oscillations
Lennox S. Keeble, Alejandro Cárdenas-Avendaño
From Accelerating Rotating Black Holes to a Swirling Universe
José Barrientos, Adolfo Cisterna
Photon-Return and Polar-Focusing Crossovers near Extremal Kerr
Valentina Gonzalez-Moya, Ali Ovgun, Joel Saavedra
Thermodynamics of rotating black holes with constrained primary hair
Wentao Liu, Di Wu, Shao-Wen Wei et al.
An exact Simpson-Visser family in bumblebee gravity
A. A. Araújo Filho