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We use dynamical systems methods to study quintessence models in a spatially flat and isotropic spacetime with matter and a scalar field with potentials for which $\lambda(\varphi)=-V_{,\varphi}/V$ is bounded, thereby going beyond the…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Artur Alho , Claes Uggla , John Wainwright

The phase space analysis of cosmological parameters $\Omega_{\phi}$ and $\gamma_{\phi}$ is given. Based on this, the well-known quintessence cosmology is studied with an exponential potential $V(\phi)=V_{0}\exp(-\lambda\phi)$. Given…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Jing-Zhao Qi , Ming-Jian Zhang , Wen-Biao Liu

We discuss some cosmological consequences of a general model of coupled quintessence in which the phenomenological coupling between the cold dark matter and dark energy is a function of the cosmic scale factor $\epsilon(a)$. This class of…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 F. E. M. Costa

We propose a new approach to the consistency test of dark energy models with observations. To test a category of dark energy models, we suggest introducing a characteristic Q(z) that in general varies with the redshift z but in those models…

Astrophysics · Physics 2009-11-25 Je-An Gu , Chien-Wen Chen , Pisin Chen

A simple methodology is suggested for the efficient calculation of certain central potentials having singularities. The generalized pseudospectral method used in this work facilitates {\em nonuniform} and optimal spatial discretization.…

Quantum Physics · Physics 2015-06-16 Amlan K. Roy

Phenomenological approaches to quantum gravity try to infer model-independent laws by analyzing thought experiments and combining both quantum, relativistic, and gravitational ingredients. We first review these ingredients -three basic…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Jean-Philippe Bruneton

A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of Whittle to noncommuting quantities. This approach carries…

Quantum Physics · Physics 2007-05-23 Arnold Neumaier

Bimetric theory describes a massless and a massive spin-2 field with fully non-linear (self-)interactions. It has a rich phenomenology and has been successfully tested with several data sets. However, the observational constraints have not…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Marvin Lüben , Angnis Schmidt-May , Jochen Weller

We investigate quintessence and phantom dark energy scenarios, in which the scalar fields evolve in nearly flat potentials and are non-minimally coupled to gravity. We show that all such models converge to a common behavior and we provide…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-06 Gaveshna Gupta , Emmanuel N. Saridakis , Anjan A. Sen

In this paper we describe physical properties arising in the vicinity of two coupled quantum phase transitions. We consider a phenomenological model based on two scalar order parameter fields locally coupled biquadratically and having a…

Strongly Correlated Electrons · Physics 2017-12-05 Corentin Morice , Premala Chandra , Stephen E. Rowley , Gilbert Lonzarich , Siddharth S. Saxena

We investigate the estimation technique called quantum state smoothing introduced by Guevara and Wiseman [Phys.~Rev.~Lett.~{\bf 115}, 180407 (2015)], which offers a valid quantum state estimate for a partially monitored system, conditioned…

Quantum Physics · Physics 2020-04-23 Areeya Chantasri , Ivonne Guevara , Howard M. Wiseman

We study the dynamics of a quintessence model based on two interacting scalar fields. The model can account for the (recent) accelerated expansion of the Universe suggested by astronomical observations. Acceleration can be permanent or…

Astrophysics · Physics 2010-05-28 M. C. Bento , O. Bertolami , N. C. Santos

A novel analytically solvable deformed Woods-Saxon potential is investigated by means of the Supersymmetric Quantum Mechanics. Hamiltonian hierarchy method and the shape invariance property are used in the calculations. The energy levels…

Nuclear Theory · Physics 2007-05-23 Cuneyt Berkdemir , Ayse Berkdemir , Ramazan Sever

We discuss the naturalness of exponential potentials for quintessence, showing that the resulting almost flat direction in the space of scalar fields, as well as the small time dependent cosmon mass, can be related to an anomalous…

High Energy Physics - Theory · Physics 2008-11-26 C. Wetterich

The rapid oscillating scalar field is considered as the quintessence in the framework of nonminimal kinetic coupling model. The scalar field behaves like a perfect fluid with a variable equation of state parameter which can be expressed as…

General Relativity and Quantum Cosmology · Physics 2014-12-24 H. Mohseni Sadjadi

We study a model in which a closed universe with dust and quintessence matter components may look like an accelerated flat Friedmann-Robertson-Walker (FRW) universe at low redshifts. Several quantities relevant to the model are expressed in…

Astrophysics · Physics 2009-11-10 Sergio del Campo , Mauricio Cataldo , Francisco Pena

In this brief review, we examine the theoretical consistency and viability of phantom dark energy. Almost all data sets from cosmological probes are compatible with dark energy of the phantom variety (i.e., equation-of-state parameter…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-26 Kevin J. Ludwick

Power-law cosmology with scale factor as power of cosmic time, $a \propto t^{\a}$, is investigated. We review and discuss value of $\a$ obtained from various types of observation. Considering dark energy dominant era in late universe from…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-30 Burin Gumjudpai

We discuss the dynamics of a quintessence model involving two coupled scalar fields. The model presents two types of solutions, namely solutions that correspond to eternal and transient acceleration of the universe. In both cases, we obtain…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. C. Bento , O. Bertolami , N. C. Santos

We study the interacting quintessence model with two different types of interaction by introducing a general parameterization of the quintessence potentials. The form of the quintessence potentials is arbitrary as the recent cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-27 Nandan Roy , Kazuharu Bamba