Action Principle for the Generalized Harmonic Formulation of General Relativity
arXiv:1008.3177 · doi:10.1103/PhysRevD.84.084014
Abstract
An action principle for the generalized harmonic formulation of general relativity is presented. The action is a functional of the spacetime metric and the gauge source vector. An action principle for the Z4 formulation of general relativity has been proposed recently by Bona, Bona--Casas and Palenzuela (BBP). The relationship between the generalized harmonic action and the BBP action is discussed in detail.
This version is contains more thorough presentations and discussions of the key results. To be published in PRD. (8 pages, no figures)
References in corpus (6)
- Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
- Simulating binary neutron stars: dynamics and gravitational waves
- Boundary conditions for coupled quasilinear wave equations with application to isolated systems
- Action principle for Numerical Relativity evolution systems
- Disembodied boundary data for Einstein's equations
- Strongly hyperbolic Hamiltonian systems in numerical relativity: Formulation and symplectic integration
Cited by in corpus (5)
- Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
- An Introduction to Well-posedness and Free-evolution
- Solving Einstein's Equation Numerically on Manifolds With Arbitrary Spatial Topologies
- Generalized Harmonic Equations in 3+1 Form
- Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes