When is something Lorentz invariant.

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Dreak
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Hello there,

I'm having a real problem understanding when a certain 'something' (for example Eddington-Finkelstein coordinates) is Lorentz invariant or how you can 'calculate' it.

Heck, I'm not even sure if a coordinate system must be lorentz invariant, or if the metric in the equations has to be lorentz invariant, or both?
 
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A scalar that is formed out of tensors (trivially or non-trivially) is invariant under lorentz transformations and is said to be a lorentz invariant. Examples include the action, the space-time interval, and the rest mass.