On the Effect of Constraint Enforcement on the Quality of Numerical Solutions in General Relativity

Details On the Effect of Constraint Enforcement on the Quality of Numerical Solutions in General Relativity On the Effect of Constraint Enforcement on the Quality of Numerical Solutions in General Relativity

2001-04-25

arxiv.org/abs/gr-qc/0104079v1

Phys.Rev. D64 (2001) 024021

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 9 figures, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.64.024021

In Brodbeck et al 1999 it has been shown that the linearised time evolution equations of general relativity can be extended to a system whose solutions asymptotically approach solutions of the constraints. In this paper we extend the non-linear equations in similar ways and investigate the effect of various possibilities by numerical means. Although we were not able to make the constraint submanifold an attractor for all solutions of the extended system, we were able to significantly reduce the growth of the numerical violation of the constraints. Contrary to our expectations this improvement did not imply a numerical solution closer to the exact solution, and therefore did not improve the quality of the numerical solution.

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