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Related papers: Hamilton-Jacobi Formalism for Tachyon Inflation

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A generalization of the canonical and non-canonical theory of inflation is introduced in which the kinetic energy term in action is written as non-local term. The inflationary universe within the framework of considering this non-locality…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Haidar Sheikhahmadi , Soheyla Ghorbani , Khaled Saaidi

We study the complete evolution of a flat and homogeneous universe dominated by tachyonic matter. We demonstrate the attractor behaviour of the tachyonic inflation using the Hamilton-Jacobi formalism. We else obtain analytical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zong-Kuan Guo , Yun-Song Piao , Rong-Gen Cai , Yuan-Zhong Zhang

We study warm-tachyon inflationary universe model in the context of the effective field theory of loop quantum cosmology. In slow-roll approximation the primordial perturbation spectrums for this model are calculated. We also obtain the…

General Physics · Physics 2015-06-22 M. R. Setare , V. Kamali

We constrain several models in Tachyonic Inflation derived from the large-$N$ formalism by considering theoretical aspects as well as the latest observational data. On the theoretical side, we assess the field range of our models by means…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-22 Nandinii Barbosa-Cendejas , Josue De-Santiago , Gabriel German , Juan Carlos Hidalgo , Refugio Rigel Mora-Luna

We develop a method to compute the slow-roll expansion for the Hubble parameter in inflationary models in a flat Friedmann-Lema\^itre-Robertson-Walker spacetime that is applicable to a wide class of potentials including monomial,…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Gabriel Álvarez , Elena Medina

We use the flow equations to determine the different hierarchy Hubble parameters as a function of the number of e-folds for intermediate models in single-field inflation. The obtained expressions allow us to determine at second order in the…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-10 Sergio del Campo

In the present work we study a warm inflationary model defined by a quasi-exponential inflaton potential and an inflaton decay rate proportional to the Hubble rate. The model is characterized by three free parameters. We compute the power…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Nelson Videla , Grigoris Panotopoulos

The present paper is devoted to find a new generalization of the generalized Chaplygin gas. Therefore, starting from the Hubble parameter associated to the Chaplygin scalar field and using some elliptic identities, the elliptic…

General Relativity and Quantum Cosmology · Physics 2015-07-30 J. R. Villanueva

This study concerns the consistency of the tachyon warm inflationary models. A linear stability analysis is performed to find the slow-roll conditions, characterized by the potential slow-roll (PSR) parameters, for the existence of a…

General Relativity and Quantum Cosmology · Physics 2014-02-25 Xiao-Min Zhang , Jian-Yang Zhu

We make a more general determination of the inflationary observables in the standard 4-D and 5-D single-field inflationary scenarios, by the exact reconstruction of the dynamics of the inflation potential during the observable inflation…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-10 L. A. Popa , N. Mandolesi , A. Caramete , C. Burigana

We present a systematic method for evaluation of perturbation observables in non-canonical single-field inflation models within the slow-roll approximation, which allied with field redefinitions enables predictions to be established for a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Sheng Li , Andrew R Liddle

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 primoradial perturbation spectrums for this scenario. We also present the…

General Relativity and Quantum Cosmology · Physics 2016-09-20 Vahid Kamali , Mohammad Reza Setare

The constant-roll inflation is studied where the inflaton is taken as a tachyon field. Since in this approach the second slow-roll parameter is assumed to be of order one instead of being small, then the perturbation parameters will be…

High Energy Physics - Phenomenology · Physics 2018-04-25 A. Mohammadi , Kh. Saaidi , T. Golanbari

We formalize the Hubble slow-roll formalism for inflationary dynamics in Randall-Sundrum Type II braneworld cosmologies, defining Hubble slow-roll parameters which can be used along with the Hamilton-Jacobi formalism. Focussing on the…

Astrophysics · Physics 2009-11-10 Erandy Ramirez , Andrew R. Liddle

The Hamilton-Jacobi approach is a powerful tool to describe super-Hubble dynamics during cosmological inflation in a non-linear way. A key assumption of this framework is to neglect anisotropic perturbations on large scales. We show that…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-15 Danilo Artigas , Emmanuel Frion , Tays Miranda , Vincent Vennin , David Wands

We obtain conditions for the existence of an attractor in the system of equations describing a tachyon warm inflationary model with bulk viscosity taken into account. When these conditions are met the evolution approaches slow-roll regime.…

General Relativity and Quantum Cosmology · Physics 2018-04-10 Antonella Cid

We compare the standard single scalar field inflationary predictions with those of an inflationary phase driven by a tachyon field. A slow-roll formalism is defined for tachyon inflation, and we derive the spectra of scalar and tensor…

High Energy Physics - Theory · Physics 2008-11-26 D. A. Steer , F. Vernizzi

We propose a new way to implement an inflationary prior to a cosmological dataset that incorporates the inflationary observables at arbitrary order. This approach employs an exponential form for the Hubble parameter $H(\phi)$ without taking…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Daniel Wohns , Jiajun Xu , S. -H. Henry Tye

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…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Vahid Kamali , Spyros Basilakos , Ahmad Mehrabi , Meysam Motaharfar , Erfan Massaeli

In this work, we investigate the Hamilton-Jacobi formalism for non-minimally coupled inflation, focusing on the methodological frame-dependence arising from its application in the Jordan and Einstein frames. We systematically compare the…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Feng-Yi Zhang , Li-Yang Chen , Rongrong Zhai