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We consider the general scalar field Horndeski Lagrangian coupled to matter. Within this class of models, we present two results that are independent of the particular form of the model. First, we show that in a Friedmann-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Adalto R. Gomes , Luca Amendola

The general k-essence Lagrangian for the existence of cosmological scaling solutions is derived in the presence of multiple scalar fields coupled to a barotropic perfect fluid. In addition to the scaling fixed point associated with the…

General Relativity and Quantum Cosmology · Physics 2014-07-14 Takeshi Chiba , Antonio De Felice , 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

A cosmological model that aims at solving the coincidence problem should show that dark energy and dark matter follow the same scaling solution from some time onward. At the same time, the model should contain a sufficiently long…

Astrophysics · Physics 2009-11-11 Luca Amendola , Miguel Quartin , Shinji Tsujikawa , Ioav Waga

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

The Gauss-Bonnet (GB) curvature invariant coupled to a scalar field $\phi$ can lead to an exit from a scaling matter-dominated epoch to a late-time accelerated expansion, which is attractive to alleviate the coincident problem of dark…

High Energy Physics - Theory · Physics 2010-10-27 Shinji Tsujikawa , M. Sami

Cosmological scaling solutions are particularly important in solving the coincidence problem of dark energy. We derive the equations of sub-Hubble linear matter perturbations for a general scalar-field Lagrangian--including quintessence,…

Astrophysics · Physics 2009-11-11 Luca Amendola , Shinji Tsujikawa , M. Sami

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 explore the possibility that a scalar field with appropriate Lagrangian can mimic a perfect fluid with an affine barotropic equation of state. The latter can be thought of as a generic cosmological dark component evolving as an effective…

Astrophysics · Physics 2008-11-26 Claudia Quercellini , Marco Bruni , Amedeo Balbi

We study a Lagrangian with a cubic Galileon term and a standard scalar-field kinetic contribution with two exponential potentials. In this model the Galileon field generates scaling solutions in which the density of the scalar field $\phi$…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-02 Inês S. Albuquerque , Noemi Frusciante , Matteo Martinelli

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

We present a framework for discussing the cosmology of dark energy and dark matter based on two scalar degrees of freedom. An effective field theory of cosmological perturbations is employed. A unitary gauge choice renders the dark energy…

High Energy Physics - Theory · Physics 2014-04-01 László Á. Gergely , Shinji Tsujikawa

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

Recently a new Lagrangian framework was introduced to describe interactions between scalar fields and relativistic perfect fluids. This allows two consistent generalizations of coupled quintessence models: non-vanishing pressures and a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-30 Tomi S. Koivisto , Emmanuel N. Saridakis , Nicola Tamanini

We consider scalar field models of dark energy interacting with dark matter through a coupling proportional to the contraction of the four-derivative of the scalar field with the four-velocity of the dark matter fluid. The coupling is…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Jibitesh Dutta , Wompherdeiki Khyllep , Nicola Tamanini

A specific Horndeski scalar-gravity mimetic model is investigated within a FLWR space-time. The mimetic scalar field is implemented via a Lagrangian multiplier, and it is shown that the model has equations of motion formally similar to the…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Yevgeniya Rabochaya , Sergio Zerbini

In arXiv:1601.02203 and arXiv:1702.07063, we have proposed a topological model with a simple Lagrangian density and have tried to solve one of the cosmological constant problems. The Lagrangian density is the BRS exact and therefore the…

High Energy Physics - Theory · Physics 2018-02-14 Shin'ichi Nojiri

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

A five dimensional braneworld cosmological model in general scalar-tensor action comprises of various Horndeski Lagrangian is considered. The Friedmann equations in the case of the strongly and weakly coupled $\mathcal{L}_5$ Horndeski…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Kevin F. S. Pardede , Agus Suroso , Freddy P. Zen

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
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