BSSN是一个部分约束的演化系统
The BSSN formulation is a partially constrained evolution system
摘要：
3+1维的相对论模拟通常会在演化过程中监控哈密顿量和动量约束，这些约束的显著违反表明存在不稳定性。在本文中，我们重写的动量约束为一阶演化方程，并表明，流行的BSSN制定的爱因斯坦方程明确使用的动量约束的演化方程。我们推测，这个功能是一个关键的原因，BSSN制定的数值相对论的相对成功。
英文摘要：
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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