Numerical relativity: combining the Cauchy and characteristic initial value problems
- 1 February 1993
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 10 (2) , 333-341
- https://doi.org/10.1088/0264-9381/10/2/015
Abstract
Numerical relativity can be performed within the context of the Cauchy problem or the characteristic initial value problem (CIVP). These two approaches are reviewed in the case of axial symmetry without rotation. It is shown how to compactify CIVP coordinates so that a finite grid extends to future null infinity. Many physical situations have matter in a central region and vacuum outside. It is shown how to interface Cauchy algorithms in the central region with CIVP algorithms in the external vacuum.Keywords
This publication has 11 references indexed in Scilit:
- Evolution of scalar fields from characteristic dataJournal of Computational Physics, 1992
- Numerical relativity on a transputer arrayClassical and Quantum Gravity, 1990
- Computations of spherical gravitational collapse using null slicingClassical and Quantum Gravity, 1989
- A study of nonlinear radiation damping by matching analytic and numerical solutionsJournal of Computational Physics, 1988
- Mixed analytic-numerical solutions for a simple radiating systemGeneral Relativity and Gravitation, 1987
- Null cone computation of gravitational radiationJournal of Mathematical Physics, 1983
- General relativistic axisymmetric rotating systems: Coordinates and equationsPhysics Reports, 1983
- Numerical relativity. I. The characteristic initial value problemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- Gravitational waves in general relativity VIII. Waves in asymptotically flat space-timeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated systemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962