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According to the nonuniqueness principle, the homogeneous scalar field Lagrangian can be expressed in various forms both standard and nonstandard ones. Therefore, the standard and all possible nonstandard Lagrangians can be linearly…

High Energy Physics - Theory · Physics 2023-12-05 Suppanat Supanyo , Monsit Tanasittikosol , Sikarin Yoo-Kong

We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We…

High Energy Physics - Theory · Physics 2020-10-14 Gianmassimo Tasinato

We deal with the presence of topological defects in models for two real scalar fields. We comment on defects hosting topological defects, and we search for explicit defect solutions using the trial orbit method. As we know, under certain…

High Energy Physics - Theory · Physics 2009-11-07 D. Bazeia , W. Freire , L. Losano , R. F. Ribeiro

In this work, we study a non-geometrical perturbation to the stealth field, which means the background remains invariant. The stealh is homogeneous in a universe whose source is dust and demand that perturbation unchanged density. As a…

General Relativity and Quantum Cosmology · Physics 2025-04-24 José Blanco , Cuauhtemoc Campuzano , J. C. Corona-Oran , Víctor H. Cárdenas

We investigate the static and spherically symmetric solutions of Einstein's equations for a scalar field with non-canonical kinetic term, assumed to provide both the dark matter and dark energy components of the Universe. In particular, we…

Astrophysics · Physics 2008-11-26 Daniele Bertacca , Nicola Bartolo , Sabino Matarrese

We study the dynamics of scalar fields with compact field spaces, or axions, in de Sitter space. We argue that the field space topology can qualitatively affect the physics of these fields beyond just which terms are allowed in their…

High Energy Physics - Theory · Physics 2023-11-16 Priyesh Chakraborty , John Stout

This paper shows a new approach to obtain analytical topological defects of a 2D Myers-Pospelov Lagrangian for two scalar fields. Such a Lagrangian presents higher-order kinetic terms, which lead us to equations of motion which are…

High Energy Physics - Theory · Physics 2018-07-24 E. Passos , C. A. G. Almeida , F. A. Brito , R. Menezes , J. C. Mota-Silva , J. R. L. Santos

We study a model with a real scalar Higgs field and a scalar triplet field that allows existence of a topological defect -- a domain wall. The wall breaks the global $O(3)$ symmetry of the model, which gives rise to non-Abelian…

High Energy Physics - Theory · Physics 2016-12-02 Vakhid A. Gani , Mariya A. Lizunova , Roman V. Radomskiy

The process of collision of two parallel domain walls in a supersymmetric model is studied both in effective Lagrangian approximation and by numerical solving of the exact classical field problem. For small initial velocities we find that…

High Energy Physics - Theory · Physics 2017-01-04 V. A. Gani , A. E. Kudryavtsev

The use of Lagrange multipliers in the context of quintessence/phantom scalar fields allows to constrain the behavior of the scalar field, which provides a powerful tool, not only for the reconstruction of cosmological solutions but also…

High Energy Physics - Theory · Physics 2015-05-30 Diego Sáez-Gómez

Topological defects are singularities within a field that cannot be removed by continuous transformations. The definition of these irregularities requires an ordered reference configuration, calling into question whether they exist in…

Soft Condensed Matter · Physics 2025-01-06 Vinay Vaibhav , Arabinda Bera , Amelia C. Y. Liu , Matteo Baggioli , Peter Keim , Alessio Zaccone

We present a comprehensive and gauge invariant treatment of perturbations around cosmological scaling solutions for two canonical scalar fields coupled through a common potential in the early universe, in the presence of neutrinos, photons…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-02 Joschka Beyer

Theories with a non-minimal coupling between the space-time curvature and matter fields introduce an extra force due to the non-conservation of the matter energy momentum. In the present work the theoretical consistency of such couplings is…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Nicola Tamanini , Tomi S. Koivisto

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

A mathematical model of the evolution of plane perturbations in the cosmological statistical system of completely degenerated scalar-charged fermions with the Higgs scalar interaction is formulated. A complete closed system of differential…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Yu. G. Ignat'ev

In a subclass of scalar-tensor theories, it has been shown that standard general relativity solutions of neutron stars and black holes with trivial scalar field profiles are unstable. Such an instability leads to solutions which are…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Timothy Anson , Eugeny Babichev , Christos Charmousis , Sabir Ramazanov

The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kato , Doug Singleton

This paper reviews the dynamics of an isotropic and homogeneous cosmological scalar field. A general approach to the solution of the Einstein-Klein-Gordon equations is developed, which does not require slow-roll or other approximations.…

General Relativity and Quantum Cosmology · Physics 2025-04-15 J. W. van Holten

We consider the Dirichlet problem for the nonlinear $p(x)$-Laplacian equation. For axially symmetric domains we prove that, under suitable assumptions, there exist Mountain-pass solutions which exhibit partial symmetry. Furthermore, we show…

Analysis of PDEs · Mathematics 2012-06-08 Luigi Montoro , Berardino Sciunzi , Marco Squassina

We examine "dynamical similarities" in the Lagrangian framework. These are symmetries of an intrinsically determined physical system under which observables remain unaffected, but the extraneous information is changed. We establish three…

General Relativity and Quantum Cosmology · Physics 2018-07-04 David Sloan