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We investigate static, spherically symmetric solutions in Einstein-scalar-Gauss-Bonnet gravity non-minimally coupled to a massless real scalar field, both in vacuum and in the presence of fermionic matter. Focusing on a specific quadratic…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Roberto D. Alba Q. , Javier Chagoya , Armando A. Roque

In a previous paper, we obtained a cohomological obstruction to the existence of compact manifolds locally modelled on a homogeneous space. In this paper, we give a classification of the semisimple symmetric spaces to which this obstruction…

Differential Geometry · Mathematics 2019-04-22 Yosuke Morita

We consider a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker background space with an ideal gas and a multifield Lagrangian consisting of two minimally coupled scalar fields which evolve in a field space of constant curvature.…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Alex Giacomini , Esteban González , Genly Leon , Andronikos Paliathanasis

We deal with relativistic models described by a single real scalar field, searching for topological structures that behave asymmetrically, connecting minima with distinct profile. We use such features to build a new braneworld scenario, in…

High Energy Physics - Theory · Physics 2015-11-06 D. Bazeia , M. A. Marques , R. Menezes

We investigate the presence of static solutions in generalized models described by a real scalar field in four-dimensional space-time. We study models in which the scalar field engenders higher-order derivatives and spontaneous symmetry…

High Energy Physics - Theory · Physics 2015-07-06 D. Bazeia , A. S. Lobao , R. Menezes

Magnetic monopoles are studied in the context of a Two Measure Field Theory.

General Relativity and Quantum Cosmology · Physics 2015-03-18 Alon Yaniv

We demonstrate that there are theories that exhibit spontaneous scalarization in the strong gravity regime while having General Relativity with a constant scalar as a cosmological attractor. We identify the minimal model that has this…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Georgios Antoniou , Lorenzo Bordin , Thomas P. Sotiriou

The existence of elliptic periodic solutions of a perturbed Kepler problem is proved. The equations are in the plane and the perturbation depends periodically on time. The proof is based on a local description of the symplectic group in two…

Classical Analysis and ODEs · Mathematics 2017-03-24 Alberto Boscaggin , Rafael Ortega

We consider a model involving a self-interacting complex scalar field minimally coupled to gravity and emphasize the cylindrically symmetric classical solutions. A general ansatz is performed which transforms the field equations into a…

General Relativity and Quantum Cosmology · Physics 2013-07-11 Y. Brihaye , T. Delsate

We show that hydrodynamic theories of polar active matter generically possess inhomogeneous traveling solutions. We introduce a unifying dynamical-system framework to establish the shape of these intrinsically nonlinear patterns, and show…

By complexifying a Hamiltonian system one obtains dynamics on a holomorphic symplectic manifold. To invert this construction we present a theory of real forms which not only recovers the original system but also yields different real…

Symplectic Geometry · Mathematics 2025-01-03 Philip Arathoon , Marine Fontaine

Recently we proposed that K fields, that is, fields with a non-standard kinetic term, may provide a mechanism for the generation of thick branes, based on the following observations. Firstly, K field theories allow for soliton solutions…

High Energy Physics - Theory · Physics 2008-11-26 C. Adam , N. Grandi , P. Klimas , J. Sánchez-Guillén , A. Wereszczyński

A solution to the massless scalar cosmological constant field equations is presented. The solution has imploding scalar and parts of anti-deSitter or deSitter spacetime as limiting cases. Some of the solutions properties are discussed…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Mark D. Roberts

We have obtained exact kink-like static plane-symmetric solutions to the self-consistent system of electromagnetic, scalar, and gravitational field equations. It was shown that under certain choice of the interaction Lagrangian the…

Mathematical Physics · Physics 2012-12-07 D. S. Kulyabov , Yu. P. Rybakov , G. N. Shikin , L. P. Yuschenko

We investigate a simple extra-dimensional model and its four-dimensional vacua. This model has a two-form flux and a positive cosmological constant, and the extra dimensions are compactified as the product of $N$ two-spheres. The theory is…

High Energy Physics - Theory · Physics 2014-08-20 Adam R. Brown , Alex Dahlen , Ali Masoumi

We study brane world models which contain local topological defects in the bulk and a (3+1)-dimensional inflating brane. We put the emphasis on new types of solutions that are periodic in the bulk radial coordinate and thus provide examples…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Y. Brihaye , B. Hartmann

One possible description for the current accelerated expansion of the universe is quintessence dynamics. The basic idea of quintessence consists of analyzing cosmological scenarios driven by scalar fields. In this work we present some…

General Relativity and Quantum Cosmology · Physics 2014-04-10 P. H. R. S. Moraes , J. R. L. Santos

We examine Friedmann-Robertson-Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a $\gamma$-law equation of state, and a homogeneous scalar field minimally coupled to gravity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Norman Cruz , Cristian Martinez

We define complete stable pairs on a smooth projective variety, and construct their moduli space. These moduli spaces have natural morphisms to the moduli of stable pairs and Quot-schemes. As an example, we show that the moduli of complete…

Algebraic Geometry · Mathematics 2025-12-10 Baosen Wu

We define and study complex structures and generalizations on spaces consisting of geodesics or harmonic maps that are compatible with the symmetries of these spaces. The main results are about existence and uniqueness of such structures.

Differential Geometry · Mathematics 2019-01-14 László Lempert