Existence, uniqueness and other properties of the BCT (minimal strain lapse and shift) gauge
David Garfinkle, Carsten Gundlach, James Isenberg, Niall OMurchadha
TL;DR
This paper investigates the mathematical properties of the BCT gauge in general relativity, focusing on its existence, uniqueness, and implications for numerical evolution methods.
Contribution
It provides a detailed analysis of the existence and uniqueness of the BCT gauge, enhancing understanding of its applicability in numerical relativity.
Findings
Established conditions for the existence of the BCT gauge
Identified scenarios where the BCT gauge is unique
Discussed the practical implications for numerical evolutions
Abstract
Brady, Creighton and Thorne have proposed a choice of the lapse and shift for numerical evolutions in general relativity that extremizes a measure of the rate of change of the three-metric (BCT gauge). We investigate existence and uniqueness of this gauge, and comment on its use in numerical time evolutions.
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