If I am not mistaken, the change of the minkowski metric to:(adsbygoogle = window.adsbygoogle || []).push({});

[itex] n_{\mu\nu} \rightarrow g_{\mu\nu}(x)[/itex]

will violate the Poincare invariance of (example) the Electromagnetism Action.

However it allows us to define a wider set of arbitrary transformations (coordinate transformations).

The last line confuses me. If I can choose a general coordinate system without a problem (since everything will remain invariant) what restricts my choice not to be of the form:

[itex] x'^{a}(x^{b})= Λ^{a}_{b}x^{b}+p^{a}[/itex]?

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# Change of the minkowski metric

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