Preliminary results from a study of nonlinear gravitational waves in Minkowski space are presented. Both numerical and analytic techniques are used. A first order perturbation solution is obtained and used to benchmark the numerical damping and dispersion in the computer code. A set of numerical simulations is used to find and characterize the beginning of the nonlinear regime. Finally, a second order perturbation analysis is begun to model this transition to nonlinear behavior.
Dynamical Spacetimes and Numerical Relativity
- Pub Date:
- Computational Astrophysics;
- Gravitational Waves;
- Minkowski Space;
- Nonlinear Evolution Equations;
- Perturbation Theory;