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An analysis of the solutions for the field equations of generalized scalar-tensor theories of gravitation is performed through the study of the geometry of the phase space and the stability of the solutions, with special interest in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. C. C. Souza , A. Saa

We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational…

General Relativity and Quantum Cosmology · Physics 2012-02-06 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the parameters, the global and local properties of…

Dynamical Systems · Mathematics 2010-11-10 Ignacio Bajo , Daniel Franco , Juan Perán

This work deals with the presence of localized static structures in the real line, described by relativistic real scalar fields in two spacetime dimensions. We consider models featuring both standard and modified kinematics, where we employ…

High Energy Physics - Theory · Physics 2024-07-09 D. Bazeia , Elisama E. M. Lima

We show that the solutions of first order nonlinear ODEs can be controlled globally in the complex domain, using a finite set of constants of motion defined in regions of $\CC$. These constants of motion enable us to obtain quantitative…

Classical Analysis and ODEs · Mathematics 2011-08-11 O. Costin , M. Huang , F. Fauvet

We study a three-component universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies) and perfect fluids characterized by linear and nonlinear equations of state. Within the cosmic screening approach, we…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Ezgi Canay , Ruslan Brilenkov , Maxim Eingorn , A. Savaş Arapoğlu , Alexander Zhuk

We consider the motion described by the Navier-Stokes equations in a box with periodic boundary conditions. First we prove the existence of global strong two-dimensional solutions. Next we show the existence of global strong…

Analysis of PDEs · Mathematics 2014-06-04 Wojciech Zajączkowski , Ewa Zadrzyńska

The continuum mechanics of line defects representing singularities due to terminating discontinuities of the elastic displacement and its gradient field is developed. The development is intended for application to coupled phase…

Materials Science · Physics 2016-03-09 Amit Acharya , Claude Fressenegeas

Given a functional for a one-dimensional physical system, a classical problem is to minimize it by finding stationary solutions and then checking the positive definiteness of the second variation. Establishing the positive definiteness is,…

Classical Analysis and ODEs · Mathematics 2017-04-26 Thomas Lessinnes , Alain Goriely

Solutions of Einstein's equations are found for global defects in a higher-dimensional spacetime with a nonzero cosmological constant Lambda. The defect has a (p-1)-dimensional core (brane) and a `hedgehog' scalar field configuration in the…

High Energy Physics - Theory · Physics 2010-04-06 Itsaso Olasagasti , Alexander Vilenkin

In this paper, we study diagonalizable hyperbolic systems in one space dimension. Based on a new gradient entropy estimate, we prove the global existence of a continuous solution, for large and nondecreasing initial data. Moreover, we show…

Mathematical Physics · Physics 2008-12-18 Ahmad El Hajj , Regis Monneau

We consider conformal defect solutions in four dimensional $N=2$ gauged supergravity. These solutions are constructed as a warped product of $AdS_2\times S^1$ over an interval with non-trivial electric and magnetic fields. We show for…

High Energy Physics - Theory · Physics 2019-05-01 Michael Gutperle , Matteo Vicino

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 find exact solutions in five dimensional inhomogeneous matter dominated model with a varying cosmological constant. Adjusting arbitrary constants of integration one can also achieve acceleration in our model. Aside from an initial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Panigrahi , S. Chatterjee

We consider a D-dimensional model of gravity with non-linear "scalar fields" as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field…

General Relativity and Quantum Cosmology · Physics 2015-06-04 A. A. Golubtsova , V. D. Ivashchuk

Explicit solutions for extended objects of a Q-ball type were found analytically in a model describing complex scalar field with piecewise parabolic potential in (3+1)- and (1+1)-dimensional space-times. Such a potential provides a variety…

High Energy Physics - Theory · Physics 2013-05-08 I. E. Gulamov , E. Ya. Nugaev , M. N. Smolyakov

In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , J. R. S. Nascimento , R. F. Ribeiro , D. Toledo

For a conformal theory it is natural to seek the conformal moduli space, M_c to which it belongs, generated by the exactly marginal deformations. By now we should have the tools to determine M_c in the presence of enough supersymmetry. Here…

High Energy Physics - Theory · Physics 2009-11-07 Barak Kol

We propose a set of constraints on the ground-state wavefunctions of fracton phases, which provide a possible generalization of the string-net equations used to characterize topological orders in two spatial dimensions. Our constraint…

Strongly Correlated Electrons · Physics 2020-04-30 Nathanan Tantivasadakarn , Sagar Vijay

Local and global phase-space descriptions and averaging methods are used to find qualitative features of solutions for the FLRW and the Bianchi I metrics in the context of scalar field cosmologies with arbitrary potentials and arbitrary…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Genly Leon , Felipe Orlando Franz Silva
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