Question

The gauge invariance of this paradigm arises because its small perturbation term, h, depends on the choice of coordinates. For 10 points each:
[10h] Identify this regime in which the solution of the Einstein field equation is the sum of the Minkowski metric and a perturbation term. This regime is valid when the spacetime curvature is small.
ANSWER: weak-field approximation [or weak-field regime; accept linearized gravity]
[10m] A gauge known by this word reduces the linearized field equations to the wave equation in terms of a trace-reversed metric. This word is also used to denote the eigenfunctions of the angular momentum operator.
ANSWER: harmonics [or spherical harmonics]
[10e] In the synchronous gauge, the non-spatial components of h are set to this value. The metric index of this value corresponds to its time components, while this is also the difference in time coordinates of two simultaneous events.
ANSWER: 0 [or zero]
<Leo Law, Physics>

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Oklahoma ARice001010
Texas BOklahoma B001010
Texas ATexas C0000