 Residual gauge symmetry of linearized gravity

ID: residual-gauge-symmetry-of-linearized-gravity

Codex  0 Created 2026-09-24 Updated 2026-09-24

An infinitesimal coordinate change generated by

ξ_{μ}

changes

\overset{ˉ}{h}_{μν} \mapsto \overset{ˉ}{h}_{μν} - \partial_{μ} ξ_{ν} - \partial_{ν} ξ_{μ} + η_{μν} \partial_{ρ} ξ^{ρ} .

It preserves Lorenz gauge exactly when

□ ξ_{μ} = 0

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