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The purpose of this work is to discuss how matter fields are coupled to gravity within the framework of General Relativity. Our particular focus here is on the coupling of scalar field models. In a first step, we suggest a new method for…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Joshua Ritchie

Motivated by the recent interest in cosmologies arising from energy density modifications to the Friedmann equation, we analyse the scaling behaviour for a broad class of these cosmologies comprised of scalar fields and background…

Astrophysics · Physics 2009-11-10 Edmund J. Copeland , Seung-Joo Lee , James E. Lidsey , Shuntaro Mizuno

A weakly coupled scalar field $\Phi$ with a simple exponential potential $V=M_P^4\exp(-\lambda\Phi/M_P)$ where $M_P$ is the reduced Planck mass, and $\lambda > 2$, has an attractor solution in a radiation or matter dominated universe in…

Astrophysics · Physics 2011-05-05 Pedro G. Ferreira , Michael Joyce

In quadratic-order degenerate higher-order scalar-tensor (DHOST) theories compatible with gravitational-wave constraints, we derive the most general Lagrangian allowing for tracker solutions characterized by $\dot{\phi}/H^p={\rm constant}$,…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Noemi Frusciante , Ryotaro Kase , Kazuya Koyama , Shinji Tsujikawa , Daniele Vernieri

We use scalar-field Lagrangians with a non-canonical kinetic term to obtain unified dark matter models where both the dark matter and the dark energy, the latter mimicking a cosmological constant, are described by the scalar field itself.…

Astrophysics · Physics 2011-07-13 Daniele Bertacca , Nicola Bartolo , Antonaldo Diaferio , Sabino Matarrese

In standard perturbation approaches and N-body simulations, inhomogeneities are described to evolve on a predefined background cosmology, commonly taken as the homogeneous-isotropic solutions of Einstein's field equations…

General Relativity and Quantum Cosmology · Physics 2012-05-11 Xavier Roy , Thomas Buchert

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 develop a model-independent approach to lagrangian perturbation theory for the large scale structure of the universe. We focus on the displacement field for dark matter particles, and derive its most general structure without assuming a…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Marco Marinucci , Kevin Pardede , Massimo Pietroni

We report on the performance of Lagrangian perturbation theory up to the second order for the standard cold dark matter (SCDM) and broken scale invariance (BSI) scenarios. We normalize both models to the COBE data, the BSI model serves as…

Astrophysics · Physics 2007-05-23 A. G. Weiss , S. Gottloeber , T. Buchert

In dark energy models of scalar-field coupled to a barotropic perfect fluid, the existence of cosmological scaling solutions restricts the Lagrangian of the field $\vp$ to $p=X g(Xe^{\lambda \vp})$, where $X=-g^{\mu\nu} \partial_\mu \vp…

High Energy Physics - Theory · Physics 2009-02-25 Burin Gumjudpai , Tapan Naskar , M. Sami , Shinji Tsujikawa

We study teleparallel gravitational theories with are invariant under the conformal transformations. Wide family of the gravitational Lagrangians that are invariant under conformal transformations have investigated. Cosmological solutions…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Davood Momeni , Ratbay Myrzakulov

We provide a general framework for studying the dark energy cosmology in which a scalar field $\phi$ is nonminimally and kinetically coupled to Cold Dark Matter (CDM). The scalar-graviton sector is described by the action of Horndeski…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Ryotaro Kase , Shinji Tsujikawa

We study a class of Unified Dark Matter (UDM) models based on generalized K-essence, where a single scalar field with non-canonical kinetic terms accounts for dark radiation, dark matter, and dark energy. Starting from the purely kinetic…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-26 Eladio Moreno , Josue De-Santiago

We consider a cosmological scenario endowed with an interaction between the universe's dark components $-$ dark matter and dark energy. Specifically, we assume the dark matter component to be a pressure-less fluid, while the dark energy…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Andronikos Paliathanasis , Genly Leon , Wompherdeiki Khyllep , Jibitesh Dutta , Supriya Pan

We examine Friedmann-Robertson-Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a $\gamma$-law equation of state, and a homogeneous scalar field minimally coupled to gravity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Norman Cruz , Cristian Martinez

The possibility of a connection between dark energy and gravity through a direct coupling in the Lagrangian of the underlying theory has acquired an increasing interest due to the recently discovered capability of the extended quintessence…

Astrophysics · Physics 2009-11-13 Valeria Pettorino , Carlo Baccigalupi , Francesca Perrotta

Higher derivative scalar interactions can give rise to interesting cosmological scenarios. We present a complete classification of such operators that can yield sizeable effects without introducing ghosts and, at the same time, define an…

High Energy Physics - Theory · Physics 2018-08-22 Luca Santoni , Enrico Trincherini , Leonardo G. Trombetta

In particle physics the world is described by a function, the Lagrangian. Each of its sectors characterizes the interactions between the particles of the Standard Model (SM). The addition of hypothetical new particles is done by including…

High Energy Physics - Phenomenology · Physics 2025-08-19 Tania Robens , Rui Santos

In this work we explore the possibility of incorporating particle physics motivated scalar fields to the dark matter cosmological model. In this landscape, we consider the classical complex scalar field in a certain region in the parameter…

We argue that the $\Lambda$CDM tensions of the Hubble-Lemaitre expansion rate $H_0$ and the clustering normalization $\sigma_8$ can be eased, at least in principle, by considering an interaction between dark energy and dark matter in such a…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Luca Amendola , Shinji Tsujikawa