Conserved quantities in GR deal with ##p_\mu## not ##p^\mu## and while in Minkowski spacetime its easy to see what each of the components mean (since the metric is so simple) in general relativity I think its not and its starting to confuse me.(adsbygoogle = window.adsbygoogle || []).push({});

Why exactly is ##-p_0## the energy in general relativity? Is this because of the equivalence principle making the analogy to special relativity? What exactly does this energy component include? Only kinematic energy, what else can it include and how?

Also, many terms like ##p_\phi## arent exactly angular momentum even if they are referred to as such. Should I think of this sloppy language like we take generalized momenta in Lagrangian mechanics?

My main dilemma is with respect to the energy component of the four momentum (with covariant indices, that is, as a form)

Thanks.

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# I The nature of four-momentum in general relativity

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