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We propose a minimal description of single field dark energy/modified gravity within the effective field theory formalism for cosmological perturbations, which encompasses most existing models. We start from a generic Lagrangian given as an…

High Energy Physics - Theory · Physics 2015-06-15 Jerome Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

We give a variational formulation of General Relativity, with coupling to a cosmological constant, to scalar fields, to vector fields and to spinor fields (all with possible mass and interaction terms). Among the matter fields, we include…

General Relativity and Quantum Cosmology · Physics 2015-12-29 Igor Khavkine

On the basis of the general relativistic statistical and kinetic theory, a consistent closed cosmological model is formulated. It is based on a statistical system of scalar charged fermions interacting by means of classical and phantom…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Yu. G. Ignat'ev , D. Yu. Ignatyev

In general, the system of $2$nd-order partial differential equations made of the Euler-Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. The first aim of…

Mathematical Physics · Physics 2022-02-02 David Adame-Carrillo , Jordi Gaset , Narciso Román-Roy

We propose a cosmological model that makes a significant step toward solving the coincidence problem of the near similarity at the present of the dark energy and dark matter components. Our cosmology has the following properties: a) among…

Astrophysics · Physics 2008-11-26 Luca Amendola , Domenico Tocchini-Valentini

We consider a novel model of gravity with a scalar field described by the Lagrangian with higher order derivative terms in a cosmological context. The model has the same solution for the homogeneous and isotropic universe as in the model…

General Relativity and Quantum Cosmology · Physics 2019-07-04 Nahomi Kan , Kiyoshi Shiraishi

In this paper we consider a model of scalar-tensor theory of gravitation in which the scalar field, $\phi$ determines the gravitational coupling G and has a Lagrangian of the form, $\mathcal{L}_{\phi} =-V(\phi)\sqrt{1 -…

General Relativity and Quantum Cosmology · Physics 2008-12-11 Sanil Unnikrishnan , T. R. Seshadri

We introduce an extension of the Born-Infeld action for a scalar field and show that it can act as unifying-dark-matter, providing an explanation for both structure formation and the accelerated expansion of the universe. We investigate the…

Astrophysics · Physics 2010-12-09 M. Novello , M. Makler , L. S. Werneck , C. A. Romero

We propose that dark energy in the form of a scalar field could effectively couple to dark matter inhomogeneities. Through this coupling energy could be transferred to/from the scalar field, which could possibly enter an accelerated regime.…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-25 Valerio Marra

We investigate the cosmological applications of new gravitational scalar-tensor theories, which are novel modifications of gravity possessing 2+2 propagating degrees of freedom, arising from a Lagrangian that includes the Ricci scalar and…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Emmanuel N. Saridakis , Minas Tsoukalas

In this work we analyze the viability of use a particular models of scalar fields in the context of the galactic dark matter problem. These models are based on a single scalar field, minimally coupled to the gravity in a asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose A. Gonzalez , Daniel Sudarsky

We investigate the Lagrangian perturbation theory of a homogeneous and isotropic universe in the non-relativistic limit, and derive the solutions up to the fourth order. These solutions are needed for example for the next-to-leading order…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-15 Cornelius Rampf , Thomas Buchert

We discuss the possibility that dark matter corresponds to an oscillating scalar field coupled to the Higgs boson. We argue that the initial field amplitude should generically be of the order of the Hubble parameter during inflation, as a…

High Energy Physics - Phenomenology · Physics 2016-06-22 Orfeu Bertolami , Catarina Cosme , João G. Rosa

Lagrangian modelling can be used to derive mathematical models for complex power electronic converters. This approach uses scalar quantities (kinetic and potential energy) to derive models, which is simpler than using (vector-based) force…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Shakir Showkat Sofi , Mosaib Ul Munieeb , Fazil Bashir , Munieeb Ul Hassan , Shahkar Ahmad Nahvi

The background dynamical evolution of a universe filled with matter and a cosmological scalar field is analyzed employing dynamical system techniques. After the phenomenology of a canonical scalar field with exponential potential is…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Nicola Tamanini

In the standard model of cosmology, the background evolution of the Universe can in general be adequately described by general relativity and a uniform and isotropic metric minimally coupled with a collection of perfect fluids. These fluids…

General Relativity and Quantum Cosmology · Physics 2022-07-19 R. P. L. Azevedo

In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Antonio De Felice , Tsutomu Kobayashi , Shinji Tsujikawa

We present numerical solutions of several spacetimes of physical interest, including binary black hole mergers, in shift-symmetric Einstein-scalar-Gauss-Bonnet (ESGB) gravity, and describe our methods for solving the full equations of…

General Relativity and Quantum Cosmology · Physics 2021-02-25 William E. East , Justin L. Ripley

We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function $G_3(\phi, X)$ in the Lagrangian is constrained…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Cláudio Gomes , Orfeu Bertolami

We study a general field theory of a scalar field coupled to gravity through a quadratic Gauss-Bonnet term $\xi(\phi) R^2_{GB}$. The coupling function has the form $\xi(\phi)=\phi^n$, where $n$ is a positive integer. In the absence of the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 P. Kanti , J. Rizos , K. Tamvakis