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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

Our ignorance about the source of cosmic acceleration has stimulated study of a wide range of models and modifications to gravity. Cosmological scaling solutions in any of these theories are privileged because they represent natural…

High Energy Physics - Theory · Physics 2008-11-26 Shinji Tsujikawa , M. Sami

In this paper we review in detail a number of approaches that have been adopted to try and explain the remarkable observation of our accelerating Universe. In particular we discuss the arguments for and recent progress made towards…

High Energy Physics - Theory · Physics 2008-11-26 Edmund J. Copeland , M. Sami , Shinji Tsujikawa

To explain the acceleration of the cosmological expansion researchers have considered an unusual form of mass-energy generically called dark energy. Dark energy has a ratio of pressure over mass density which obeys $w=p/\rho <-1/3$. This…

High Energy Physics - Theory · Physics 2008-12-19 Max Chaves , Douglas Singleton

In this study, we meticulously construct a 3-form Lagrangian designed to mimic the dynamics of both dust matter in the past and dark energy driving the acceleration in the present era. A dynamical systems approach is used to investigate the…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Vitor da Fonseca , Bruno J. Barros , Tiago Barreiro , Nelson J. Nunes

We present a model that offers an explanation for the presence of (Dark Matter and) Dark Energy in the universe. A key idea is to express the volume form of the Lorentzian metric on space-time in terms of a positive function of a new scalar…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Ali H. Chamseddine , Jürg Fröhlich

In the search for an explanation for the current acceleration of the Universe, scalar fields are the most simple and useful tools to build models of dark energy. This field, however, must in principle couple with the rest of the world and…

General Relativity and Quantum Cosmology · Physics 2016-11-18 Carsten van de Bruck , Jurgen Mifsud , José P. Mimoso , Nelson J. Nunes

The evolution of scalar perturbations is studied for 2-component (non-relativistic matter and dark energy) cosmological models at the linear and non-linear stages. The dark energy is assumed to be the scalar field with either classical or…

Astrophysics · Physics 2015-05-13 O. Sergijenko , Yu. Kulinich , B. Novosyadlyj , V. Pelykh

A hybrid three-form model of dark energy is developed in order to identify scaling solutions, a long-sought feature in three-form cosmology. Exploiting Hodge dualities, the theory is formulated in terms of two scalar functions that are…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Vitor da Fonseca , Bruno J. Barros , Tiago Barreiro , Nelson J. Nunes

The reason for the present accelerated expansion of the Universe stands as one of the most profound questions in the realm of science, with deep connections to both cosmology and fundamental physics. From a cosmological point of view,…

General Relativity and Quantum Cosmology · Physics 2024-08-22 Peixiang Ji , Lijing Shao

We study in some detail an interacting cosmological model based on two canonical scalar fields starting from a Lagrangian description. Contrary to other more phenomenological approaches where non-relativistic matter and dark energy are…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Grigoris Panotopoulos , Ilídio Lopes

We present a quintessence model for the dark energy in which the quintessence scalar field is produced by the decay of a super heavy dark matter and gradually condensate to a classical scalar field. This model can explain both the smallness…

High Energy Physics - Phenomenology · Physics 2009-11-11 Houri Ziaeepour

Recent observations suggest that the accelerated expansion of the Universe at late times is caused by a temporally changing dark energy component, rather than the constant one in the standard $\Lambda$CDM scenario. In this context…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Artur Alho , Elsa Bernholm , Claes Uggla

Quintessence theories for cosmic acceleration imbue dark energy with a non-trivial dynamics that offers hope in distinguishing the physical origin of the component. We review quintessence models with an emphasis on this dynamics and discuss…

Astrophysics · Physics 2009-06-23 Eric V. Linder

The variant of the quintessence theory is proposed in order to get an accelerated expansion of the Friedmannian Universe in the frameworks of relativistic theory of gravitation. The substance of quintessence is built up the scalar field of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu. V. Chugreev , M. A. Mestvirishvili , K. A. Modestov

In this paper, we consider an effective quintessence scalar field with a power-law potential interacting with a $P_{b}=\xi q\rho_{b}$ barotropic fluid as a first model, where $q$ is a deceleration parameter. For the second model we assume…

General Relativity and Quantum Cosmology · Physics 2015-03-11 M. Khurshudyan , B. Pourhassan , R. Myrzakulov , S. Chattopadhyay

In this work it is investigated the evolution of a Universe where a scalar field, non-minimally coupled to space-time curvature, plays the role of quintessence and drives the Universe to a present accelerated expansion. A non-relativistic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. B. Binder , G. M. Kremer

Motivated by recent results from the DESI collaboration, we explore two classes of quintessence models that can give rise to crossing of the dark energy equation of state through the ``phantom divide'' $w=-1$. These are models with…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-26 Ruiqi Chen , James M. Cline , Varun Muralidharan , Benjamin Salewicz

We first consider the Einstein-aether theory with a gravitational coupling and a Lagrange multiplier field, and then consider the non-minimally coupled quintessence field theory with Lagrange multiplier field. We study the influence of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Changjun Gao , Yan Gong , Xin Wang , Xuelei Chen

We discuss the phenomenological model in which the potential energy of the quintessence field depends linearly on the energy density of the spatial curvature. We find that the pressure of the scalar field takes a different form when the…

High Energy Physics - Theory · Physics 2014-11-18 Yungui Gong , Anzhong Wang , Yuan-Zhong Zhang