The ADM Formulation of the Dynamics of Geometry

  • Thread starter TerryW
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TerryW
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Homework Statement


On the attached two pages from MTW, there are two expressions for the variational principle. I've worked my way through to get to (21.86) (+21.88) and have continued to the bottom of the page to (21.90). I then thought I'd try to use (21.91), (21.92) and (21.93) to see if I could get back to (21.86 + 21.88) from (21.90).

I've managed to pair off some bits of one expression with the other but there are some 'left over' bits which I can't match up.

Given that MTW hasn't set this as an exercise, I wondered if it is actually possible.

At the moment, all I need from someone is either a "Yes, it can be done" or a "No, that won't work"

Homework Equations




The Attempt at a Solution

 

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  • ADM Formulation of the dynamics of geometry.pdf
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