Lorentzian dynamics in the Ashtekar gravity
Hisa-aki Shinkai, Gen Yoneda
Abstract
We examine the advantages of the SO(3)-ADM (Ashtekar) formulation of general relativity, from the point of following the dynamics of the Lorentzian spacetime in direction of applying this into numerical relativity. We describe our strategy how to treat new constraints and reality conditions, together with a proposal of new variables. We show an example of passing a degenerate point in flat spacetime numerically by posing `reality recovering' conditions on spacetime. We also discuss some available advantages in numerical relativity.
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