- #1

Safinaz

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- TL;DR Summary
- I try to read a paper on general relativity and perturbation theory:

https://arxiv.org/pdf/2109.01398.pdf#page16

My question is about equation (3.16) in section (3.2):

##

\delta \phi = -\sqrt{\frac{2}{\epsilon}} \left( \Phi+ \frac{\Phi’}{H} \right)

##

Where ##\delta \phi## is the first-order perturbation of a scalar field, ##\Phi## is the first-order perturbation of the space-time metric, and ##H## is the universe’s scale factor. It’s mentioned that this relation is given in reference:

https://arxiv.org/pdf/1002.0600.pdf

But I can't find such a relation in that reference. So I appreciate if someone had more experience in perturbation theory help me find out how this equation can be derived or proved from : https://arxiv.org/pdf/1002.0600.pdf

https://arxiv.org/pdf/1002.0600.pdf

But I can't find such a relation in that reference. So I appreciate if someone had more experience in perturbation theory help me find out how this equation can be derived or proved from : https://arxiv.org/pdf/1002.0600.pdf

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