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We study the Chaplygin gas model as a candidate for inflation in the framework of the Randall-Sundrum type II braneworld model. We consider the original and generalized Chaplygin gas model in the presence of monomial potential. The inflationary spectrum perturbation parameters are reformulated and evaluated in the high-energy limit and we found that they depend on several parameters. We also showed that these perturbation parameters are widely compatible with the recent Planck data for a particular choice of the parameters space of the model. A suitable observational central value of

It is widely believed that the early universe underwent a period of accelerated expansion called inflation [

On the other hand, the Chaplygin gas inspired inflation model [

In the present paper, we are going to use the Randall-Sundrum II braneworld model to study the original and generalized Chaplygin gas as a candidate for the primordial inflation by assuming that the matter source on the brane consists of a Chaplygin gas. The Chaplygin gas emerges as an effective fluid of a generalized

An outline of the remainder of this paper is as follows: We first begin in Section

In this section we propose a short description on standard inflation formalism to enable readers to understand the meanings of terms here involved. Inflation is the period of the early universe that undergoes an accelerating phase [

The small quantum fluctuations in the scalar field lead to fluctuations in the energy density which was studied in a perturbative theory [

Braneworld inflation [

Inserting (

The modification of (

In this section, we will recall briefly some basic facts of Randall-Sundrum type II braneworld model [

The Friedmann equation will become [

We consider the slow-roll parameters, in the Randall-Sundrum type II braneworld model [

In addition, the number of

The inflationary spectrum perturbation is produced by quantum fluctuations of fields around their homogeneous background values. The small quantum fluctuations in the scalar field lead to fluctuations in the energy density and in the metric; for that, we define the power spectrum of the curvature perturbations by [

We define the tensor-to-scalar ratio

In what follows, we shall apply the above braneworld formalism with a monomial potential in the high-energy limit; that is,

In the following, we will concentrate on the original Chaplygin gas; it is reached as a special case of the general Chaplygin gas and is proposed as possible explanation of the acceleration of the current universe. The original Chaplygin gas model has been extensively studied. For example, [

In this section we will propose to investigate monomial potential in braneworld context with generalized Chaplygin gas. This potential was used in a very recent model in different work. In the paper [

Although we have analytic results for slow-roll parameters and the number of

To complete our study with original Chaplygin gas, we analyse the variations of the perturbation spectrum parameters with respect to

Figure

In Figure

Figure

To summarize this subsection, we have found that the results reviewed in the context of the original Chaplygin gas model are compatible with the latest observational measurements for a particular choice of

In the following, we will study the case of generalized Chaplygin gas with

It is well known that generalized Chaplygin gas is one of the most natural candidates of dark energy models to explain the accelerated expansion of the universe. In this context, these models have been extensively studied in the literature. Moreover, in the work [

In this part, we study the generalized Chaplygin gas model in the presence of monomial potential, using the basic formalism obtained in Section

Based on the above formulas and to confront simultaneously the observables

We will discuss some values of the above inflationary parameters in relation to the

Figure

Evolution of

Figure

Evolution of

In Figure

Evolution of

To summarize this subsection, our numerical calculation shows that, for a particular choice of the parameters of the model, the obtained results are compatible with the Planck data, particularly for a suitable choice of the

In this paper, we have examined the Chaplygin gas model as a candidate for inflation, which showed some important properties. We have considered the original and generalized Chaplygin gas model in the Randall-Sundrum type II braneworld using a monomial potential in the high-energy limit to study the behaviours of inflationary spectrum perturbation parameters. We have found that the inflationary parameters depend on a parameters’ space of the model. In the original Chaplygin gas case,

The authors declare that there are no conflicts of interest regarding the publication of this paper.