In special relativity, we introduced the momentum of a particle in a given Lorentz frame as p" = (E,p'), where E is the energy of the particle and p¹ is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by -p Uobs, where p" is the momentum of the particle and uobs is the velocity of the observer in those coordinates.
In special relativity, we introduced the momentum of a particle in a given Lorentz frame as p" = (E,p'), where E is the energy of the particle and p¹ is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by -p Uobs, where p" is the momentum of the particle and uobs is the velocity of the observer in those coordinates.
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
Transcribed Image Text:In special relativity, we introduced the momentum of a particle in a given Lorentz frame as p" =
(E,p'), where E is the energy of the particle and p¹ is the relativistic 3-momentum. Explain why,
in general relativity, the energy of a particle measured by an observer is given, irrespective of the
coordinate system used, by -p Uobs, where p" is the momentum of the particle and uobs is the
velocity of the observer in those coordinates.
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