- #1

- 157

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I understand that one varyies w.r.t phi so it becomes:

[itex] \int a^{3}(t)(\dot{\phi}\delta \dot{\phi}-\frac{1}{a^2}(\nabla \phi)(\delta \nabla \phi) -V'\delta \phi) d^3 x[/itex]

I can't see why it would then becomes [itex] \int (-\frac{d}{dt}(a^{3}\dot{\phi})+a(\nabla^{2} \phi) -a^3V') d^3 x[/itex]

I.e where do the variations go why does it become [itex]\partial_{\mu}[/itex] that then moves before the terms not after them , i realise that the metric used is (-,+++)