The linearized 3+1 TEGR system has imaginary eigenvalues in its principal symbol but becomes strongly hyperbolic after gauge fixing isolated problematic sectors.
Hamiltonian formulation of teleparallel gravity
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abstract
The Hamiltonian formulation of the teleparallel equivalent of general relativity (TEGR) is developed from an ordinary second-order Lagrangian, which is written as a quadratic form of the coefficients of anholonomy of the orthonormal frames (vielbeins). We analyze the structure of eigenvalues of the multi-index matrix entering the (linear) relation between canonical velocities and momenta to obtain the set of primary constraints. The canonical Hamiltonian is then built with the Moore-Penrose pseudo-inverse of that matrix. The set of constraints, including the subsequent secondary constraints, completes a first class algebra. This means that all of them generate gauge transformations. The gauge freedoms are basically the diffeomorphisms, and the (local) Lorentz transformations of the vielbein. In particular, the ADM algebra of general relativity is recovered as a sub-algebra.
fields
gr-qc 3years
2026 3representative citing papers
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Primary Constraints of Newer General Relativity
Primary constraint analysis of Newer General Relativity recovers five tensor and three vector constraints and identifies a previously unreported scalar-sector degeneracy that produces one or two constraints depending on the c_i values.
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Gauge-invariant cosmological perturbations in Type 3 New General Relativity and background-hierarchy bounds
Derives background-hierarchy bounds for scalar, transverse-vector and tensor modes in Type 3 NGR around flat FLRW, identifying viable parameter regions where linear perturbation theory remains consistent.