Residual gauge symmetry of linearized gravity

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

.

 Ancestors (7)

 Incoming links (9)

Explicit plane-wave reduction to transverse-traceless gauge
Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 68 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 54 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 52 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 3 / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 3 / c / iii / Solution
Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 4 / 37B / a / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 309 / 3 / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 309 / 2 / a / Solution

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