Hyperbolic Equations for Vacuum Gravity Using Special Orthonormal Frames
Frank B. Estabrook, R. Steve Robinson, Hugo D. Wahlquist (JPL,, Pasadena)
TL;DR
This paper reformulates vacuum gravity equations into a first order symmetric hyperbolic form using special orthonormal frames, simplifying analysis and computation without relying on specific coordinates.
Contribution
It introduces a novel approach to express vacuum gravity equations in a hyperbolic form using Nester's higher dimensional special orthonormal frames, independent of coordinate choices.
Findings
Equations are in FOSH form with constant coefficients.
Method is coordinate-independent and simplifies analysis.
Potential for improved numerical relativity simulations.
Abstract
By adopting Nester's higher dimensional special orthonormal frames (HSOF) the tetrad equations for vacuum gravity are put into first order symmetric hyperbolic (FOSH) form with constant coefficients, independent of any time slicing or coordinate specialization.
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