Radiation Extraction and Boundary Conditions for Numerical Relativity
Abstract
A method of matching numerical solutions of the full, nonlinear Einstein equations to numerical solutions of the equations linearized on a Schwarzschild background is developed. This method is based on the reduction of the third-order Einstein-Ricci hyperbolic formulation of general relativity, linearized on a Schwarzschild background, to a set of one-dimensional wave equations for multipole components of extrinsic curvature. The solutions of these linearized equations are matched onto the results of three-dimensional numerical relativity calculations, providing a method of extracting gravitational radiation from a numerical simulation while simultaneously providing outer boundary conditions. A computer module which implements this matching procedure is discussed, and results of tests with both analytic linear wave data and a full three-dimensional numerical relativity code are presented.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1998
- Bibcode:
- 1998PhDT.........8R
- Keywords:
-
- EINSTEIN EQUATIONS;
- SCHWARZSCHILD BACKGROUND;
- Physics: Astronomy and Astrophysics