For plane waves in linearized gravity, the paper shows the Bardeen tensor variables reduce to the two TT modes, that Cartan invariants cannot distinguish ⊕/⊗, and claims Killing-vector projections reproduce the Bardeen variables—a claim that holds only in a fixed gauge.
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Where are linearized gauge invariants encoded for plane waves in linearized gravity?
For plane waves in linearized gravity, the paper shows the Bardeen tensor variables reduce to the two TT modes, that Cartan invariants cannot distinguish ⊕/⊗, and claims Killing-vector projections reproduce the Bardeen variables—a claim that holds only in a fixed gauge.