Relativity Question: Solving Equation 3.50

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The discussion centers on understanding the derivation of equation (3.50) from equations (3.49) and (3.48) in Sean Carroll's lecture notes on relativity. The key point is that when substituting (3.49) into (3.48), one must neglect all terms that involve two or deltas, which simplifies the equation. This clarification is crucial for grasping the transition between these equations and ensuring accurate comprehension of the material presented in the notes.

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S.P.P
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Hi all,

I'm trying to teach myself relativity using Sean Carroll's lecture notes. Although this Isn't a homework question I thought this part of the forum was the best place to ask.

On page 76 of http://arxiv.org/pdf/gr-qc/9712019, how have they got the first equation in (3.50) from plugging (3.49) into (3.48). I can't understand where some of the terms have gone? I must be missing something. Can someone explain how this has been achieved.

Thanks in advance! :smile:
 
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When you plug (3.49) into (3.48), neglect all terms that have two or deltas.
 

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