Coordinate Conditions - Lorentz Covariant Coordinate Conditions

Lorentz Covariant Coordinate Conditions

If one combines a coordinate condition which is Lorentz covariant, such as the harmonic coordinate condition mentioned above, with the Einstein field equations, then one gets a theory which is in some sense consistent with both special and general relativity. Among the simplest examples of such coordinate conditions are these:

where one can fix the constant k to be any convenient value.

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