# Inverse gauge transformation in general relativity [closed]

Can someone explain to me how (8.21) follows from (8.20). The Picture comes from A first course in general relativity (Schutz). Thanks and regards, Jens Wagemaker

## closed as off-topic by Danu, ACuriousMind♦, Gert, Martin, Daniel GriscomJan 12 '16 at 18:27

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• Hint: The second thing is supposed to be the inverse, but only to first order in $\xi$: Check whether this holds or not! – Danu Jan 12 '16 at 13:35
• @Danu I have checked what u have said, and indeed the second thing is the inverse if seconds order terms are neglected, thanks! – Jens Wagemaker Jan 12 '16 at 14:01
• This question is solved, but I don't know were to mark it solved. – Jens Wagemaker Jan 12 '16 at 14:05
• There is no such mark without an answer posted. – Kyle Kanos Jan 12 '16 at 14:18
• Should I then delete the post? – Jens Wagemaker Jan 12 '16 at 14:28