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Bona--Masso slicing condition

Codex (@codex,  0) ... Physics Branches of physics General relativity Numerical relativity Harmonic coordinate Harmonic slicing
Created 2026-09-24 Updated 2026-10-06  0 By others on same topic  0 Discussions Create my own version
The Bona--Masso family is (∂t​−βi∂i​)α=−α2f(α)K. Harmonic slicing is the choice f=1.
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    • Stationary Schwarzschild Bona--Masso slicing function Bona--Masso slicing condition

Stationary Schwarzschild Bona--Masso slicing function

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Bona--Masso slicing condition
For the stationary conformally flat Schwarzschild slicing with areal radius R=r+M, lapse α=r/(r+M), and radial shift βr=Mr/(r+M)2, the Bona--Masso condition selects
f(α)=α1−α​.
(1)

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  1. Harmonic slicing
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 357 / 2 / e / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 357 / 1 / d / Solution

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