Polytropic Inspired Inflation on the Brane

TL;DR

This paper explores a brane inflation model inspired by polytropic ideas, deriving key cosmological parameters and constraining the model using WMAP9 data.

Contribution

It introduces a novel polytropic inflation framework on the brane and derives explicit expressions for cosmological observables under this model.

Findings

Derived expressions for scalar power spectrum, tensor-scalar ratio, spectral index, and running.

Established new constraints on inflation energy scale and brane tension from observational data.

Analyzed the model in the high energy and slow-roll regimes.

Abstract

The brane inflationary model inspired by a polytropic inflationary idea is studied. In the slow-roll approximation and high energy limit, for a chaotic potential, the model is developed, and its characteristics are discussed. We obtain explicit expressions for the scalar power spectrum, the tensor-scalar ratio, the scalar spectral index and its running in terms of the polytropic parameters. We find a new constraint on the energy scale of the inflation and the brane tension using the WMAP9 data.