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The motivation of the present work is to reconstruct a dark energy model through the {\it dimensionless dark energy function} $X(z)$, which is the dark energy density in units of its present value. In this paper, we have shown that a scalar…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Abdulla Al Mamon , Kazuharu Bamba , Sudipta Das

It is well known that a canonical scalar field is able to describe either dark matter or dark energy but not both. We demonstrate that a non-canonical scalar field can describe both dark matter and dark energy within a unified setting. We…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-12 Varun Sahni , Anjan A Sen

We consider a model of non-canonical scalar-tensor theory in which the kinetic term in the Brans-Dicke action is replaced by a non-canonical scalar field Lagrangian $\mathcal{L}(X, \phi)= \lambda X^\alpha \phi^\beta - V(\phi)$ where $X =…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Nihal Jalal Pullisseri , Sanil Unnikrishnan

Non-canonical scalar fields with the Lagrangian ${\cal L} = X^\alpha - V(\phi)$, possess the attractive property that the speed of sound, $c_s^{2} = (2\,\alpha - 1)^{-1}$, can be exceedingly small for large values of $\alpha$. This allows a…

General Relativity and Quantum Cosmology · Physics 2018-04-17 Swagat S. Mishra , Varun Sahni

We generally investigate the scalar field model with the lagrangian $L=F(X)-V(\phi)$, which we call it {\it General Non-Canonical Scalar Field Model}. We find that it is a special square potential(with a negative minimum) that drives the…

High Energy Physics - Theory · Physics 2010-10-27 Wei Fang , H. Q. Lu , Z. G. Huang

In this present work, we try to build up a cosmological model using a non-canonical scalar field within the framework of a spatially flat FRW space-time. In this context, we have considered four different parametrizations of the equation of…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Abdulla Al Mamon , Sudipta Das

We explore non-canonical scalar field model in the background of non-flat $D$-dimensional fractal Universe with cosmological constant $\Lambda$ on the condition that the matter and scalar field are separately conserved. The potential $V$,…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Ujjal Debnath , Kazuharu Bamba

We study the nature of potentials in scalar field based models for dark energy - with both canonical and noncanonical kinetic terms. We calculate numerically, and using an analytic approximation around $a\approx 1$, potentials for models…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-04 Richard A. Battye , Francesco Pace

We show that a canonical scalar field with a phenomenological form of energy density or equivalently an equation of state parameter can provide the required transition from decelerated ($q>0$) to accelerated expansion ($q<0$) phase of the…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Sudipta Das , Abdulla Al Mamon , Manisha Banerjee

Recent results from Type Ia supernovae (SNe Ia) and baryon acoustic oscillations (BAO), in combination with cosmic microwave background (CMB) measurements, have focused renewed attention on dark energy models with a time-varying…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Anowar J. Shajib , Joshua A. Frieman

We derive general conditions for the existence of stable scaling solutions for the evolution of noncanonical quintessence, with a Lagrangian of the form $\mathcal{L}(X,\phi)=X^{\alpha}-V(\phi)$, for power-law and exponential potentials when…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Dan Li , Robert J. Scherrer

The reconstruction of scalar-field dark energy models is studied for a general Lagrangian density $p(\phi, X)$, where $X$ is a kinematic term of a scalar field $\phi$. We implement the coupling $Q$ between dark energy and dark matter and…

Astrophysics · Physics 2009-11-13 Shinji Tsujikawa

We propose in this paper a quintom model of dark energy with a single scalar field $\phi$ given by the lagrangian ${\cal L}=-V(\phi)\sqrt{1-\alpha^\prime\nabla_{\mu}\phi\nabla^{\mu}\phi +\beta^\prime \phi\Box\phi}$. In the limit of…

High Energy Physics - Theory · Physics 2008-11-26 Yi-fu Cai , Mingzhe Li , Jian-Xin Lu , Yun-Song Piao , Taotao Qiu , Xinmin Zhang

We propose a dynamical dark energy model based on a canonical scalar field with a hybrid potential of the form $V(\phi) = V_{0}e^{-\lambda\phi} + V_{1}\phi^{n}$. We constrain the model's 11-dimensional parameter space using a comprehensive…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-30 Arpit Kottur , Jui Mahajan , Raka Dabhade

We do a comprehensive study of the Bayesian evidences for a large number of dark energy models using a combination of latest cosmological data from SNIa, CMB, BAO, Strong lensing time delay, Growth measurements, measurements of Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-23 Anto. I. Lonappan , Sumit Kumar , Ruchika , Bikash R. Dinda , Anjan A Sen

We investigate the general properties of a class of scalar-field dark energy models (i.e., $\phi$CDM models) which behave like cosmological trackers at early times. Particularly, we choose three $\phi$CDM models with typical potentials,…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-22 Tengpeng Xu , Yun Chen , Lixin Xu , Shuo Cao

The cosmological model consisting of a nonlinear magnetic field obeying the Lagrangian L= \gamma F^{\alpha}, F being the electromagnetic invariant, coupled to a Robertson-Walker geometry is tested with observational data of Type Ia…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-12 Ariadna Montiel , Nora Bretón , Vincenzo Salzano

Cosmological scaling solutions, which give rise to a scalar-field density proportional to a background fluid density during radiation and matter eras, are attractive to alleviate the energy scale problem of dark energy. In the presence of…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Junko Ohashi , Shinji Tsujikawa

We present updated observational constraints on the spatially flat $\phi$CDM model, where dark energy is described by a minimally coupled scalar field $\phi$ with an inverse power-law potential $V=V_0 \phi^{-\alpha}$. Using Planck 2018 CMB…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-01 Chan-Gyung Park , Bharat Ratra

In cubic-order Horndeski theories where a scalar field $\phi$ is coupled to nonrelativistic matter with a field-dependent coupling $Q(\phi)$, we derive the most general Lagrangian having scaling solutions on the isotropic and homogenous…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Noemi Frusciante , Ryotaro Kase , Nelson J. Nunes , Shinji Tsujikawa
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