Hyperbolicity of the Kidder-Scheel-Teukolsky formulation of Einstein's equations coupled to a modified Bona-Masso slicing condition
Miguel Alcubierre, Alejandro Corichi, Jose A. Gonzalez, Dario Nunez, and Marcelo Salgado
TL;DR
This paper demonstrates that the Kidder-Scheel-Teukolsky hyperbolic formulation of Einstein's equations remains stable when combined with a new modified Bona-Masso slicing condition, ensuring consistent hyperbolic properties.
Contribution
It proves the hyperbolicity of the Kidder-Scheel-Teukolsky formulation with a modified Bona-Masso slicing, extending the stability analysis of Einstein's equations.
Findings
Hyperbolicity is preserved with the modified slicing.
The formulation remains suitable for numerical relativity.
Enhanced understanding of gauge conditions in Einstein's equations.
Abstract
We show that the Kidder-Scheel-Teukolsky family of hyperbolic formulations of the 3+1 evolution equations of general relativity remains hyperbolic when coupled to a recently proposed modified version of the Bona-Masso slicing condition.
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