scholarly journals Tachyon Warm Intermediate and Logamediate Inflation in the Brane World Model in the Light of Planck Data

2016 ◽  
Vol 2016 ◽  
pp. 1-18 ◽  
Author(s):  
V. Kamali ◽  
M. R. Setare

Tachyon inflationary universe model on the brane in the context of warm inflation is studied. In slow-roll approximation and in longitudinal gauge, we find the primordial perturbation spectrums for this scenario. We also present the general expressions of the tensor-scalar ratio, scalar spectral index, and its running. We develop our model by using exponential potential; the characteristics of this model are calculated in great detail. We also study our model in the context of intermediate (where scale factor expands asa=a0exp⁡Atf) and logamediate (where the scale factor expands asa=a0exp⁡Aln⁡tν) models of inflation. In these two sectors, dissipative parameter is considered as a constant parameter and a function of tachyon field. Our model is compatible with observational data. The parameters of the model are restricted by Planck data.

2017 ◽  
Vol 14 (06) ◽  
pp. 1750088 ◽  
Author(s):  
Abdul Jawad ◽  
Amara Ilyas ◽  
Sarfraz Ahmad

We discuss the warm inflation in the presence of shaft potential [Formula: see text], tachyon scalar field and the generalized form of dissipative coefficient [Formula: see text]. In this respect, we investigate the inflationary parameters (slow-roll parameters, number of e-folds, scalar-tensor power spectra, spectral indices, tensor-to-scalar ratio and running of scalar spectral index) in both strong and weak dissipative regimes. It is interesting to mention that our inflationary parametric results (tensor-scalar ratio, spectral index and running of spectral) are consistent with the recent observational data such as BICEP[Formula: see text], WMAP[Formula: see text] and latest Planck data.


2017 ◽  
Vol 26 (13) ◽  
pp. 1750144 ◽  
Author(s):  
Abdul Jawad ◽  
Shamaila Rani ◽  
Amara Ilyas

A warm inflationary universe in the brane-world scenario is being studied by assuming the standard scalar and tachyon field models. For this purpose, the quartic potential ([Formula: see text]) is being utilized which is ruled out by current data in cold inflation but in our models it is analyzed that it is in agreement with recent observational data. Moreover, the generalized form of dissipative coefficient [Formula: see text] is being considered. Within this setup, the inflationary parameters in the weak dissipative regime are being analyzed. It is observed that the ranges of our results of tensor-to-scalar ratio, scalar spectral index and running of spectral favor observational data like BICEP2, WMAP9 and Planck.


2018 ◽  
Vol 27 (05) ◽  
pp. 1850056 ◽  
Author(s):  
Vahid Kamali ◽  
Spyros Basilakos ◽  
Ahmad Mehrabi ◽  
Meysam Motaharfar ◽  
Erfan Massaeli

We investigate the observational signatures of quantum cosmology in the Cosmic Microwave Background data provided by Planck collaboration. We apply the warm inflationary paradigm with a tachyon scalar field to the loop quantum cosmology. In this context, we first provide the basic cosmological functions in terms of the tachyon field. We then obtain the slow-roll parameters and the power spectrum of scalar and tensor fluctuations, respectively. Finally, we study the performance of various warm inflationary scenarios against the latest Planck data and we find a family of models which are in agreement with the observations.


Author(s):  
Wajiha Javed ◽  
Iqra Nawazish ◽  
Mohsin Raza Khan ◽  
Ali Övgün

This paper is given to the investigation of warm inflation using Modified Chaplygin gas in the background of locally rotationally symmetric Bianchi Identity type I. We find out the field equations and perturbations parameters such as; scalar power spectrum, scalar spectral index, scalar potential and tensor to scalar ratio under slow roll approximation. We find out these parameters in directional of Hubble parameter during the Logamediate inflationary regime in weak and strong case. These comological parameters shows that the anisotropic model is also compatible WMAP$7$ with recent observational data Planck $2018$.


2007 ◽  
Vol 653 (2-4) ◽  
pp. 122-128 ◽  
Author(s):  
Sergio del Campo ◽  
Ramón Herrera

Universe ◽  
2018 ◽  
Vol 4 (2) ◽  
pp. 15 ◽  
Author(s):  
Øyvind Grøn

I give a review of predictions of values of spectral parameters for a large number of inflationary models. The present review includes detailed deductions and information about the approximations that have been made, written in a style that is suitable for text book authors. The Planck data have the power of falsifying several models of inflation as shown in the present paper. Furthermore, they fix the beginning of the inflationary era to a time about 10−36 s, and the typical energy of a particle at this point of time to 1016 GeV, only a few orders of magnitude less than the Planck energy, and at least 12 orders of magnitude larger than the most energetic particle produced by CERN’s particle accelerator, LHC. This is a phenomenological review with contents as given in the list below. It includes systematic presentations of the different types of slow roll parameters that have been in use, and also of the N-formalism.


2018 ◽  
Vol 15 (10) ◽  
pp. 1850167 ◽  
Author(s):  
Surajit Chattopadhyay ◽  
Antonio Pasqua ◽  
Irina Radinschi ◽  
Aroonkumar Beesham

In the work reported in the present paper, we have considered the inflationary dynamics inspired by holographic Ricci dark energy (HRDE) with the energy density [Formula: see text] in the framework of [Formula: see text] gravity. We have considered a [Formula: see text]-gravity model in linear form, which is sourced by a canonical scalar field due to the HRDE. We have investigated an inflationary Universe in this framework through slow-roll formalism. We also studied the scalar spectral index [Formula: see text] and tensor-to-scalar ratio [Formula: see text], which have come out to be in agreement with WMAP[Formula: see text]BAO[Formula: see text][Formula: see text] and Planck 2015 data.


2020 ◽  
Vol 98 (11) ◽  
pp. 1029-1038
Author(s):  
Wajiha Javed ◽  
Iqra Nawazish ◽  
Mohsin Raza Khan ◽  
Ali Övgün

In this paper we investigate a warm inflation scenario of a locally rotationally symmetric Bianchi type-I model using a background of modified Chaplygin gas. We determine the field equations and perturbations parameters, such as the scalar power spectrum, scalar spectral index, scalar potential, and tensor-to-scalar ratio under the slow roll approximation. We determine these parameters in the direction of the Hubble parameter during both the weak and strong logamediate inflationary regimes. These cosmological parameters show that the anisotropic model is compatible with WMAP 7 from the 2018 Planck observational data.


Author(s):  
M. R. Setare ◽  
A. Ravanpak ◽  
K. Bahari ◽  
G. F. Fadakar

In this paper, we study a constant-roll inflationary model in the context of brane-world cosmology caused by a quintessence scalar field for warm inflation with a constant dissipative parameter [Formula: see text]. We determine the analytical solution for the Friedmann equation coupled to the equation of motion of the scalar field. The evolution of the primordial scalar and tensor perturbations is also studied using the modified Langevin equation. To check the viability of the model, we use numerical approaches and plot some figures. Our results for the scalar spectral index and the tensor-to-scalar ratio show good consistency with observations.


2009 ◽  
Vol 24 (22) ◽  
pp. 1763-1773 ◽  
Author(s):  
XIN ZHANG ◽  
JINGFEI ZHANG ◽  
JINGLEI CUI ◽  
LI ZHANG

In this paper we discuss the inflationary universe in the context of a Chaplygin gas equation of state within the framework of the effective theory of loop quantum cosmology. Under the slow-roll approximation, we calculate the primordial perturbations for this model. We give the general expressions of the scalar spectral index, its running, and the tensor-to-scalar ratio, etc. For the chaotic inflation with a quadratic potential, using the WMAP 5-year results, we determine the parameters of the Chaplygin inflation model in loop quantum cosmology. The results are consistent with the WMAP observations.


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