Weyl Transformation of Metric: Cosmological Inflation

[Safinaz]

Hello,

I’m new to the cosmological inflation so in this paper: https://arxiv.org/abs/1809.09975

Has some one an idea how to make the Weyl transformation of the metric $g_{\mu\nu}$ Equation (3) , and how to get the potential (4) from the action (3) by this transformation as explained after (3) ?

 

[PeterDonis]

in this paper

Please note that this paper is not going to be very comprehensible without an "A" level background in the subject matter. You marked this thread as "I", which indicates that you might not have that background (your statement that you are new to the topic also indicates that). Also note that the model in this paper is not the simple inflation model that appears in most basic cosmology texts; it's a more advanced model. So this paper is definitely not a good way to start learning about inflation if you are new to the subject. You should start with a basic treatment in a cosmology textbook.

the Weyl transformation

You can learn the basics about these here:

https://en.wikipedia.org/wiki/Weyl_transformation

But that alone is probably not going to be enough for you to follow what the paper is saying; see above.