The linearized 3+1 TEGR system has imaginary eigenvalues in its principal symbol but becomes strongly hyperbolic after gauge fixing isolated problematic sectors.
Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations
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abstract
We show that with a small modification, the formulation of the Einstein equations of Uggla et al, which uses tetrad variables normalised by the expansion, is a mixed symmetric hyperbolic/parabolic system. Well-posedness of the Cauchy problem follows from a standard theorem.
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gr-qc 1years
2026 1verdicts
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Hyperbolicity analysis of the linearised 3+1 formulation in the Teleparallel Equivalent of General Relativity
The linearized 3+1 TEGR system has imaginary eigenvalues in its principal symbol but becomes strongly hyperbolic after gauge fixing isolated problematic sectors.