The BSSN formulation is a partially constrained evolution system

Details The BSSN formulation is a partially constrained evolution system The BSSN formulation is a partially constrained evolution system

2007-07-03

arxiv.org/abs/0707.0339v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, minor grammatical corrections

Scientific paper

Relativistic simulations in 3+1 dimensions typically monitor the Hamiltonian and momentum constraints during evolution, with significant violations of these constraints indicating the presence of instabilities. In this paper we rewrite the momentum constraints as first-order evolution equations, and show that the popular BSSN formulation of the Einstein equations explicitly uses the momentum constraints as evolution equations. We conjecture that this feature is a key reason for the relative success of the BSSN formulation in numerical relativity.

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