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  1. I am confused what representation of Lorentz group does a metric transform under?

  2. How does it's transformation properties are decided?

Qmechanic
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Himanshu Khanchandani
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    The metric is a $(0,2)$ tensor of the Lorentz group. That tells you all you need to know about its transformation properties. – Prahar Jan 22 '16 at 17:54
  • for "How does it's transformation properties are decided?" you might find my answer here helpful. It gives an intuitive reason as to why define the metric the way it is defined. – AccidentalFourierTransform Jan 22 '16 at 18:03
  • In fact the metric $g_{\mu \nu}$ is not the irreducible representation of the Lorentz group if it represent massless particles. – Name YYY Jan 26 '16 at 22:37

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