Lagrange coordinates for the Einstein-Euler equations

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Abstract

We derive a new symmetric hyperbolic formulation of the Einstein-Euler equations in Lagrange coordinates that are adapted to the Frauendiener-Walton formulation of the Euler equations. As an application, we use this system to show that the densitized lapse and zero-shift coordinate systems for the vacuum Einstein equations are equivalent to Lagrange coordinates for a fictitious fluid with a specific equation of state.
Original languageEnglish
Pages (from-to)1 - 13
Number of pages13
JournalPhysical Review D
Volume85
Issue number4
DOIs
Publication statusPublished - 2012

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