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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

It is widely acknowledged that, for formal purposes, a minimally coupled scalar field is equivalent to an effective perfect fluid with equation of state determined by the scalar potential. This correspondence is not complete because the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Valerio Faraoni

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

The features of a homogeneous scalar field $\phi$ with classical Lagrangian $L=\phi_{;i}\phi^{;i}/2-V(\phi)$ and tachyon field Lagrangian $L=-V(\phi)\sqrt{1-\phi_{;i}\phi^{;i}}$ causing the observable accelerated expansion of the Universe…

Astrophysics · Physics 2009-11-13 O. Sergijenko , B. Novosyadlyj

We examine the scenario of non-minimally coupled relativistic fluid and $k$-essence scalar field in a flat Friedmann-Lemaitre-Robertson-Walker universe. By adding a non-minimal coupling term in the Lagrangian level, we study the variation…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Anirban Chatterjee , Saddam Hussain , Kaushik Bhattacharya

We study scalar fields subject to an equation of the Klein-Gordon type in nonstationary spacetimes, such as those found in cosmology, assuming that all the relevant spatial dependence is contained in the Laplacian. We show that the field…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Laura Castelló Gomar , Guillermo A. Mena Marugán

We study general properties of attractors for scalar-field dark energy scenarios which possess cosmological scaling solutions. In all such models there exists a scalar-field dominant solution with an energy fraction \Omega_{\phi}=1 together…

High Energy Physics - Theory · Physics 2008-11-26 Shinji Tsujikawa

We discuss a series of 8 energy scales, some of which just speculated by ourselves, and fit the logarithms of these energies as a straight line versus a quantity related to the dimensionalities of action terms in a way to be defined in the…

High Energy Physics - Phenomenology · Physics 2025-03-24 Holger Bech Nielsen

We investigate the presence of localized structures for relativistic scalar fields coupled to impurities in arbitrary spatial dimensions. Such systems present spatial inhomogeneity, realized through the inclusion of explicit coordinate…

High Energy Physics - Theory · Physics 2023-10-31 D. Bazeia , M. A. Liao , M. A. Marques

In this work, we investigate the existence of analytic solutions of static scalar fields on Lifshitz spacetimes. We evade Derrick's theorem on curved spacetimes by breaking general covariance and use first-order formalism to obtain…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Danilo C. Moreira

In cosmological context, classical scalar fields are important ingredients for inflation models, many candidate models of dark energy, symmetry breaking and phase transition epochs, and their consequences such as baryo and lepto-genesis. We…

High Energy Physics - Phenomenology · Physics 2009-09-21 Houri Ziaeepour

Plane wave density functional theory codes generally assume periodicity in all three dimensions. This causes difficulties when studying charged systems, for instance energies per unit cell become infinite, and, even after being renormalised…

Materials Science · Physics 2021-04-13 MJ Rutter

The paper studied the scalar and gauge fields on the background metric of Kasner in the multidimensional spacetime. Influence of metric effects leads to renormalization of main parameters of the fields in the Lagrangian, and new mass and…

General Physics · Physics 2012-07-31 Sergey V. Yakovlev

The typical scalar field theory has a cosmological constant problem. We propose a generic mechanism by which this problem is avoided at tree level by embedding the theory into a larger theory. The metric and the scalar field coupling…

High Energy Physics - Phenomenology · Physics 2012-07-11 Roman V. Buniy , Thomas W. Kephart

We construct the non-standard Lagrangian, called the multiplicative form, of the homogeneous scalar field and fermion field through the inverse calculus of variations, which the equation of motion still satisfies the Klein-Gordon and Dirac…

High Energy Physics - Theory · Physics 2023-11-21 Suppanat Supanyo , Monsit Tanasittikosol , Sikarin Yoo-Kong

The consequences of the constraints which de Sitter embedding of $f(R)$ theories imposes on the Lagrangian's parameters, are investigated within the metric formalism. It is shown, in particular, that several common $f(R)$ Lagrangians do not…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Israel Quiros , Yoelsy Leyva , Yunelsy Napoles

Disformal transformations have proven to be very useful to devise models of the dark sector. In the present paper we apply such transformation to a single scalar field theory as a way to drive the field into a slow roll phase. The canonical…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-04 M. Zumalacarregui , T. S. Koivisto , D. F. Mota , P. Ruiz-Lapuente

The collective dynamics of nonlinear electron waves in an one-dimensional degenerate electron gas is treated using the Lagrangian fluid approach. A new class of solutions with a nontrivial space and time dependence is derived. Both…

Plasma Physics · Physics 2015-06-19 S. Ghosh , N. Chakrabarti , F. Haas

The Standard Model of elementary particle physics is one of the most successful models of contemporary physics, its predictions being in full agreement with experiments. In this manuscript we consider the Lagrangian of the Standard Model as…

Differential Geometry · Mathematics 2026-05-12 Volker Branding , Adam Lindström , Marko Sobak

A brief discussion of the recent interest in light scalar mesons motivates the study of a generalized linear sigma model. In an SU(3) flavor invariant version of the model there is a prediction that the the lighter scalars have sizeable…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amir H. Fariborz , Renata Jora , Joseph Schechter