3 problems

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Uniqueness conjecture for the Hamiltonian constraint's exact part
Uniqueness conjecture for the exact part. The arbitrariness in $alpha$ should be fixed by the Hamiltonian constraint, so that the Hamiltonian constraint determines the exact part u…
Conjectureopenboundary-diffeomorphisms constraint-equations general-relativityarXiv posted 2 days ago
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Bartnik's Hilbert-manifold conjecture for the constraint map
Let $\mathcal{F}$ be the space of initial data satisfying the prescribed boundary conditions, with $\mathcal{G}$ the space of metrics and $\mathcal{K}$ the space of momentum tensor…
Conjectureopenconstraint-equations general-relativity infinite-dimensional-manifoldsarXiv posted 2 days ago
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Choquet-Bruhat–Isenberg–Pollack conjecture on CMC Einstein-scalar constraint equations
The Einstein-scalar field constraint equations arise as the constraints on initial data for the Einstein field equations. In the constant mean curvature (CMC) case, the mean curvat…
Conjectureopenasymptotically-hyperbolic-manifolds constraint-equations general-relativityarXiv posted 2 days ago

Uniqueness conjecture for the Hamiltonian constraint's exact part