How does Inflation Depend Upon the Nature of Fluids Filling Up the Universe in Brane World Scenario

TL;DR

This paper investigates how the nature of different fluids filling the universe in a brane world scenario influences inflation, particularly focusing on the universe's size at the end of inflation for various fluid types.

Contribution

It analyzes the impact of different fluid equations of state on the inflationary universe size within brane world models, highlighting the role of initial potential energy.

Findings

Polytropic fluids lead to a smaller universe size after inflation.

Chaplygin gas results in a larger universe size post-inflation.

Initial potential energy significantly affects the inflationary universe size.

Abstract

By constructing different parameters which are able to give us the information about our universe during inflation,(specially at the start and the end of the inflationary universe) a brief idea of brane world inflation is given in this work. What will be the size of the universe at the end of inflation,i.e.,how many times will it grow than today's size is been speculated and analysed thereafter. Different kinds of fluids are taken to be the matter inside the brane. It is observed that in the case of highly positive pressure grower gas like polytropic,the size of the universe at the end of inflation is comparitively smaller. Whereas for negative pressure creators (like chaplygin gas) this size is much bigger. Except thse two cases, inflation has been studied for barotropic fluid and linear redshift parametrization $\omega(z) = \omega_{0} + \omega_{1} z$ too. For them the size of the universe after inflation is much more high. We also have seen that this size does not depend upon the potential energy at the end of the inflation. On the contrary, there is a high impact of the initial potential energy upon the size of inflation.