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We investigate a class of models described by two real scalar fields in two-dimensional spacetime. The study focuses mainly on the presence of exact static solutions which satisfy the first-order formalism, in models constructed to engender…

High Energy Physics - Theory · Physics 2026-03-23 G. H. Bandeira , D. Bazeia , G. S. Santiago , Ya. Shnir

In this work, we investigate radially symmetric solutions in arbitrary dimensions in scalar field models in the presence of the cuscuton term. We introduce a first-order formalism compatible with the equation of motion which supports field…

High Energy Physics - Theory · Physics 2025-03-12 D. Bazeia , M. A. Marques , R. Menezes , M. Paganelly

We study the existence and stability of static kink-like configurations of a 5D scalar field, with Dirichlet boundary conditions, along the extra dimension of a warped braneworld. In the presence of gravity such configurations fail to…

High Energy Physics - Phenomenology · Physics 2010-08-02 Manuel Toharia , Mark Trodden , Eric J. West

We study small perturbations around an arbitrary static kink solution of a two-dimensional (2D) gravity-scalar system, where the gravity part is described by a subclass of 2D dilaton gravity theory, and the scalar matter field has…

High Energy Physics - Theory · Physics 2022-02-09 Yuan Zhong

Second-order self-force computations, which will be essential in modeling extreme-mass-ratio inspirals, involve two major new difficulties that were not present at first order. One is the problem of large scales, discussed in [Phys. Rev. D…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Jeremy Miller , Barry Wardell , Adam Pound

We generalize the scalar tensor bigravity models to the non-minimal kinetic coupling scalar tensor bigravity models with two scalar fields whose kinetic terms are non-minimally coupled to two Einstein tensors constructed by two metrics. We…

General Relativity and Quantum Cosmology · Physics 2015-08-06 F. Darabi , M. Mousavi

In this work, we consider a two-dimensional (2D) dilaton gravity model where the dilaton kinetic term $\mathcal{X}$ is modified by an additional derivative coupling term $\alpha\mathcal{X}^2$. In the case with a canonical scalar matter…

High Energy Physics - Theory · Physics 2024-06-25 Ziqi Wang , Yuan Zhong , Hui Wang

Quantum kinks in gauge theories on $R^2\otimes S^1$ space-time are studied. To obtain the, explicit profile of the kinks, we calculated effective actions including derivative corrections for vacuum gauge fields on $S^1$ at zero, and finite…

Mathematical Physics · Physics 2015-07-30 Takuya Maki , Kiyoshi Shiraishi

In this work we present a new class of real scalar field models admitting strongly interactive kink solutions. Instead of the usual exponential asymptotic behavior these topological solutions exhibit a power-law one. We investigate the…

High Energy Physics - Theory · Physics 2012-08-24 A. R. Gomes , R. Menezes , J. C. R. E. Oliveira

We analyse cosmological perturbations around a homogeneous and isotropic background for scalar-tensor, vector-tensor and bimetric theories of gravity. Building on previous results, we propose a unified view of the effective parameters of…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Macarena Lagos , Emilio Bellini , Johannes Noller , Pedro G. Ferreira , Tessa Baker

We study scalar field theory in one space and one time dimensions on a q-deformed space with static background. We write the Lagrangian and the equation of motion and solve it to the first order in $q-1$ where $q$ is the deformation…

High Energy Physics - Theory · Physics 2023-01-10 Poula Tadros

We apply the theory of infinitesimal transformations for the study of a family of 1+1 fifth-order partial differential equations which have been proposed before for the description of multiple kink solutions. In this analysis we perform a…

Exactly Solvable and Integrable Systems · Physics 2021-05-17 Andronikos Paliathanasis

In a classical, quartic field theory with $SU(N) \times Z_2$ symmetry, a class of kink solutions can be found analytically for one special choice of parameters. We construct these solutions and determine their energies. In the limit $N\to…

High Energy Physics - Theory · Physics 2009-11-07 Tanmay Vachaspati

This work is devoted to the study of first order linear problems with involution and general linear conditions. We first study the problem in the case of antiperiodic boundary conditions, giving an explicit Green's function for it. Then we…

Classical Analysis and ODEs · Mathematics 2017-07-05 Alberto Cabada , F. Adrián F. Tojo

This paper presents a library of second-order models for synchronous machines that can be utilized in power system dynamic performance analysis and control design tasks. The models have a similar structure to the classical model in that…

Systems and Control · Computer Science 2019-09-20 Olaoluwapo Ajala , Alejandro Dominguez-garcia , Peter Sauer , Daniel Liberzon

This work concerns scalar field theories with topologically nontrivial vacuum manifold in rotationally symmetric backgrounds of arbitrary dimension. Lagrangians with canonical and generalized kinetic terms are considered, and a Bogomol'nyi…

High Energy Physics - Theory · Physics 2026-05-15 I. Andrade , M. A. Liao

This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de…

High Energy Physics - Theory · Physics 2009-11-11 D. Bazeia , F. A. Brito , L. Losano

The static kink, sphaleron and kink chain solutions for a single scalar field $\phi$ in one spatial dimension are reconsidered. By integration of the Euler--Lagrange equation, or through the Bogomolny argument, one finds that each of these…

High Energy Physics - Theory · Physics 2023-09-07 N. S. Manton

A new, second-order solution in curvilinear coordinates is introduced for the relative motion of two spacecraft on eccentric orbits. The second-order equations for unperturbed orbits are derived in spherical coordinates with true anomaly as…

Dynamical Systems · Mathematics 2019-09-06 Matthew Willis , Kyle T. Alfriend , Simone D'Amico

This work discuss the construction of braneworld solutions in modified gravity with Lagrange multipliers. We examine the general aspects of the model and present a first order formalism that help us to find analytic solutions of the…

High Energy Physics - Theory · Physics 2020-02-19 D. Bazeia , D. A. Ferreira , D. C. Moreira
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