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    Three of the constraints are responsible for shifting dat... — Carmelics
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    Home/Modality & Possibility
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    Supports→The momentum (diffeomorphism) constraints are related to the shift vector field.

    Three of the constraints are responsible for shifting data tangential to the initial surface.

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    Shifting data tangential to the initial surface is the role of the shift vector ...The momentum (diffeomorphism) constraints are related to the shift vector field.

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    The Hamiltonian constraint is responsible for pushing data off the ini...88%Shifting data tangential to the initial surface is the role of the shi...80%The constraints that must be satisfied by the data on the slice ensure...71%When the constraints are satisfied, different choices of lapse and shi...70%

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    When one attempts to write general relativity down in this way, one has to contend with the existence of constraints on the canonical variables that are inherited from the diffeomorphism invariance of the spacetime formulation of the theory. The single tensorial equation that we see in standard presentations of the Einstein field equations is translated into 10 scalar equations in the canonical formulation, with constraints accounting for four of these equations (the remaining six are genuine ev

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