2011/04/26 by Michael Reiterer, Reiterer, Michael, Eugene Trubowitz +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Numerical methods for differential equations #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.48550/arxiv.1104.4972
12 pages, Subsection 4.4 simplified
openalex publication_date 2011/04/26 · arxiv created 2011/04/30 · arxiv updated 2011/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A class of gauges for the Einstein vacuum equations is introduced, along with three symmetric hyperbolic systems. The first implies the local realizability of the gauge. The second is the dynamical subset of the field equations. The third is used to show that the constraints propagate. The gauges are for an orthonormal frame formalism, with first order, quadratically nonlinear equations. The unknowns are 16 frame components and 28 connection components. After gauge-fixing, a total of 33 remain.