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Boundary Conditions for the Einstein Evolution System
Lawrence E. Kidder, Lee Lindblom, Mark A. Scheel +2
New boundary conditions are constructed and tested numerically for a general first-order form of the Einstein evolution system. These conditions prevent constraint violations from…
The initial value problem in numerical relativity
Harald P. Pfeiffer
The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and confo…
Initial data for Einstein's equations with superposed gravitational waves
Harald P. Pfeiffer, Lawrence E. Kidder, Mark A. Scheel +1
A method is presented to construct initial data for Einstein's equations as a superposition of a gravitational wave perturbation on an arbitrary stationary background spacetime. Th…
Excision boundary conditions for black hole initial data
Gregory B. Cook, Harald P. Pfeiffer
We define and extensively test a set of boundary conditions that can be applied at black hole excision surfaces when the Hamiltonian and momentum constraints of general relativity…
Optimal Constraint Projection for Hyperbolic Evolution Systems
Michael Holst, Lee Lindblom, Robert Owen +3
Techniques are developed for projecting the solutions of symmetric hyperbolic evolution systems onto the constraint submanifold (the constraint-satisfying subset of the dynamical f…
Controlling the Growth of Constraints in Hyperbolic Evolution Systems
Lee Lindblom, Mark A. Scheel, Lawrence E. Kidder +3
Motivated by the need to control the exponential growth of constraint violations in numerical solutions of the Einstein evolution equations, two methods are studied here for contro…