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Related papers: Some studies on k essence Lagrangian

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We investigate the possibility for \textit{k}-essence dynamics to reproduce the primary features of inflation in the early universe, generate dark matter subsequently, and finally account for the presently observed acceleration. We first…

Astrophysics · Physics 2009-09-03 Nilok Bose , A. S. Majumdar

We obtain lagrangian for $k$-essence scalar field $\phi(r,t)$ with scalar curvature $k$ of Friedmann-Lemaitre-Robertson-Walker (FLRW) metric . Obtained lagrangian has two generalised co-ordinates $\phi$ and logarithm of scale factor ($q=\ln…

General Physics · Physics 2020-06-12 Somnath Mukherjee

We present a \textit{k}-essence model where a single scalar field is responsible for the early expansion of the universe through the process of \textit{k}-inflation and at appropriate subsequent stages acts both as dark matter and dark…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-21 N. Bose , A. S. Majumdar

There are a number of mathematical theorems in the literature on the dynamics of cosmological models with accelerated expansion driven by a positive cosmological constant $\Lambda$ or a nonlinear scalar field with potential $V$…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alan D. Rendall

K-essence is a minimally-coupled scalar field whose Lagrangian density $\mathcal{L}$ is a function of the field value $\phi$ and the kinetic energy $X=\frac{1}{2}\partial_\mu\phi\partial^\mu\phi$. In the thawing scenario, the scalar field…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Zhiqi Huang

A lagrangian for the $k-$ essence field is set up with canonical kinetic terms and incorporating the scaling relation of [1]. There are two degrees of freedom, {\it viz.},$q(t)= ln\enskip a(t)$ ($a(t)$ is the scale factor) and the scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Debashis Gangopadhyay , Somnath Mukherjee

A broad class of dark energy models can be written in the form of k-essence, whose Lagrangian density is a two-variable function of a scalar field $\phi$ and its kinetic energy $X\equiv \frac{1}{2}\partial^\mu\phi \partial_\mu\phi$. In the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-14 Zhiqi Huang

Dark energy models with non-canonical kinetic energy terms, k-essence, can have dynamical and sound speed properties distinct from canonical scalar fields, quintessence. Concentrating on purely kinetic term Lagrangians, which can be…

Astrophysics · Physics 2008-11-26 Roland de Putter , Eric V. Linder

k-essence scalar field models are usually taken to have lagrangians of the form ${\mathcal L}=-V(\phi)F(X)$ with $F$ some general function of $X=\nabla_{\mu}\phi\nabla^{\mu}\phi$. Under certain conditions this lagrangian in the context of…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-22 Debashis Gangopadhyay , Somnath Mukherjee

K-essence has been proposed as a possible means of explaining the coincidence problem of the Universe beginning to accelerate only at the present epoch. We carry out a comprehensive dynamical systems analysis of the k-essence models given…

Astrophysics · Physics 2009-11-07 Michael Malquarti , Edmund J Copeland , Andrew R Liddle

We analyze the implications of having a divergent speed of sound in k-essence cosmological models. We first study a known theory of that kind, for which the Lagrangian density depends linearly on the time derivative of the k-field. We show…

Astrophysics · Physics 2009-11-10 Luis P. Chimento , Ruth Lazkoz

In the present work we analyze the g-essence model for the particular Lagrangian: $L=R+2[\alpha X^n+\epsilon Y-V(\psi,\bar{\psi})]$. The g-essence models were proposed recently as an alternative and as a generalization to the scalar…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-15 K. K. Yerzhanov , P. Yu. Tsyba , Sh. R. Myrzakul , I. I. Kulnazarov , R. Myrzakulov

In this paper the Lagrangian density of a purely kinetic k--essence that models the behavior of dark energy described by four parameterized equations of state proposed by Cooray \& Huterer (Astrophys. J. {\bf 513} L95, 1999), Zhang \& Wu…

General Relativity and Quantum Cosmology · Physics 2018-08-15 V. H. Cárdenas , N. Cruz , Sebastián Muñoz , J. R. Villanueva

We examine k-essence models in which the Lagrangian p is a function only of the derivatives of a scalar field phi and does not depend explicity on phi. The evolution of phi for an arbitrary functional form for p can be given in terms of an…

Astrophysics · Physics 2009-11-10 Robert J. Scherrer

We recently introduced the concept of "k-essence" as a dynamical solution for explaining naturally why the universe has entered an epoch of accelerated expansion at a late stage of its evolution. The solution avoids fine-tuning of…

Astrophysics · Physics 2009-09-15 C. Armendariz-Picon , V. Mukhanov , Paul J. Steinhardt

We present a model independent method of reconstructing the Lagrangian for the k-essence field driving the present acceleration of the universe. We consider the simplest k-essence model for which the potential is constant. Later we use…

Astrophysics · Physics 2009-11-13 A. A. Sen

Purely kinetic k-essence models have been shown in the literature to be a field theory equivalent of barotropic fluid models of dark energy or dark matter-dark energy unification. In the modeling framework where the speed of sound squared…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-30 Dalibor Perkovic , Hrvoje Stefancic

Considering the general Lagrangian of k-essence models, we study and classify them through variables connected to the fluid equation of state parameter w_\kappa. This allows to find solutions around which the scalar field describes a…

Astrophysics · Physics 2008-11-26 Daniele Bertacca , Sabino Matarrese , Massimo Pietroni

K-essence theories are usually studied in the framework of one scalar field $\phi$. Namely, the Lagrangian of K-essence is the function of scalar field $\phi$ and its covariant derivative. However, in this paper, we explore a two-field pure…

General Relativity and Quantum Cosmology · Physics 2024-05-27 Changjun Gao

Cosmological scenarios with k-essence are invoked in order to explain the observed late-time acceleration of the universe. These scenarios avoid the need for fine-tuned initial conditions (the "coincidence problem") because of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jin U Kang , Vitaly Vanchurin , Sergei Winitzki
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