On the applicability of constrained symplectic integrators in general relativity

Details On the applicability of constrained symplectic integrators in general relativity On the applicability of constrained symplectic integrators in general relativity

2008-05-29

arxiv.org/abs/0805.4465v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, change the title to be more descriptive, typos corrected, added reference

Scientific paper

10.1088/1751-8113/41/38/382005

The purpose of this note is to point out that a naive application of
symplectic integration schemes for Hamiltonian systems with constraints such as
SHAKE or RATTLE which preserve holonomic constraints encounters difficulties
when applied to the numerical treatment of the equations of general relativity.

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