Excising das All: Evolving Maxwell waves beyond scri
Abstract
We study the numerical propagation of waves through future null infinity in a conformally compactified spacetime. We introduce an artificial cosmological constant, which allows us some control over the causal structure near null infinity. We exploit this freedom to ensure that all light cones are tilted outward in a region near null infinity, which allows us to impose excision-style boundary conditions in our finite-difference code. In this preliminary study we consider electromagnetic waves propagating in a static, conformally compactified spacetime.
- Publication:
-
Physical Review D
- Pub Date:
- September 2006
- DOI:
- 10.1103/PhysRevD.74.064003
- arXiv:
- arXiv:gr-qc/0603034
- Bibcode:
- 2006PhRvD..74f4003M
- Keywords:
-
- 04.25.Dm;
- 02.60.Lj;
- 41.20.Jb;
- 98.80.-k;
- Numerical relativity;
- Ordinary and partial differential equations;
- boundary value problems;
- Electromagnetic wave propagation;
- radiowave propagation;
- Cosmology;
- General Relativity and Quantum Cosmology
- E-Print:
- 13 pages