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The coupled Einstein-Yang-Mills equations on a time dependent axially symmetric spacetime are investigated, without a priori any conditions on the gauge field. There is numerical evidence for the existence of a regular solution with the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinoud J. Slagter

A family of geometries on S^7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional riemannian geometry and the two exceptional Cartan-Schouten compact flat geometries with torsion, one…

High Energy Physics - Theory · Physics 2013-07-02 E. K. Loginov

In this paper an effective integrable non-linear model describing the electron spin dynamics in a deformable helical molecule with weak spin-orbit coupling is presented. Non-linearity arises from the electron-lattice interaction and it…

Exactly Solvable and Integrable Systems · Physics 2018-02-14 P. Albares , E. Diaz , J. M. Cervero , F. Dominguez-Adame , E. Diez , P. G. Estevez

A modified gravitational model whose action is given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field, and its kinetic term is investigated as an extension of the gravitational sector including an…

General Relativity and Quantum Cosmology · Physics 2026-05-04 L. A. S. Evangelista , M. L. R. Silva , J. V. Moretti , A. F. Santos

We consider static spherically symmetric solutions of a general scalar field theory with non-standard kinetic energy coupled to gravity with a view to explain dark matter halos as a coherent state of the scalar field. Consistent solutions…

High Energy Physics - Theory · Physics 2008-06-04 Ratindranath Akhoury , Christopher S. Gauthier

We present the general relativistic electrodynamics and magnetohydrodynamics with a helically coupled scalar field. We consider three component system with the fluid, scalar field and electromagnetic fields with the helical coupling. We…

High Energy Astrophysical Phenomena · Physics 2023-04-26 Jai-chan Hwang , Hyerim Noh

Linearised relativistic elasticity equations of motion are considered for a rod and a spinning ring encountering a gravitational wave. In the case of the rod, the equations reduce to a wave equation with appropriate boundary conditions.…

General Relativity and Quantum Cosmology · Physics 2025-02-28 José Natário , Amol Sasane , Rodrigo Vicente

In a previous work the authors have solved the Einstein equations of General Relativity for a class of metrics with constant spatial curvature, where it was found a non vanishing Weyl tensor in the presence of a primordial magnetic field…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Grasiele B. Santos , Eduardo Bittencourt , José M. Salim

Unimodular gravity (UG) is considered, under many aspects, equivalent to General Relativity (GR), even if the theory is invariant under a more restricted diffeomorphic class of transformations. We discuss the conditions for the equivalence…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Júlio C. Fabris , Mahamadou Hamani Daouda , Hermano Velten

We present an exact stationary {\it axially symmetric} vacuum solution of metric-affine gravity (MAG) which generalises the recently reported spherically symmetric solution. Besides the metric, it carries nonmetricity and torsion as…

General Relativity and Quantum Cosmology · Physics 2009-10-28 E. J. Vlachynsky , R. Tresguerres , Yu. N. Obukhov , F. W. Hehl

We report on some recent results on a class of relativistic lagrangian field theories supporting non-topological soliton solutions and their applications in the contexts of Gravitation and Cosmology. We analyze one and many-components…

High Energy Physics - Theory · Physics 2011-03-29 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

We perform a study of the gravitating electrostatic spherically symmetric (G-ESS) solutions of Einstein field equations minimally coupled to generalized non-linear abelian gauge models in three space dimensions. These models are defined by…

High Energy Physics - Theory · Physics 2010-04-29 J. Diaz-Alonso , D. Rubiera-Garcia

This paper presents general relativistic numerical simulations of uniformly rotating polytropes. Equations are developed using MSQI coordinates, but taking a logarithm of the radial coordinate. The result is relatively simple elliptical…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Philip David Flammer

A model for quantum gravity in one (time) dimension is discussed, based on Regge's discrete formulation of gravity. The nature of exact continuous lattice diffeomorphisms and the implications for a regularized gravitational measure are…

High Energy Physics - Theory · Physics 2009-10-28 Herbert W. Hamber , Ruth M. Williams

The purpose of this review it to present a renewed perspective of the problem of self-gravitating elastic bodies under spherical symmetry. It is also a companion to the papers [Phys. Rev. D105, 044025 (2022)], [Phys. Rev. D106, L041502…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Artur Alho , José Natário , Paolo Pani , Guilherme Raposo

We summarize the general formalism describing surface flows in three-dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of non-radial perturbations of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , B. G. Schmidt

The origin of equilibrium gravitational configurations is sought in terms of the stability of their trajectories, as described by the curvature of their Lagrangian configuration manifold of particle positions --- a context in which subtle…

Astrophysics of Galaxies · Physics 2015-06-17 Amr El-Zant

Spherical models of collisionless but quasi-relaxed stellar systems have long been studied as a natural framework for the description of globular clusters. Here we consider the construction of self-consistent models under the same physical…

Astrophysics · Physics 2009-11-13 G. Bertin , A. L. Varri

We present a relativistic model describing a thin disk surrounded by a halo in presence of an electromagnetic field. The model is obtained by solving the Einstein-Maxwell equations on a particular conformastatic spacetime background and by…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonio C. Gutiérrez-Piñeres , Guillermo A. González , Hernando Quevedo

We consider metric f(R) theories of gravity without mapping them to their scalar-tensor counterpart, but using the Ricci scalar itself as an "extra" degree of freedom. This approach avoids then the introduction of a scalar-field potential…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Luisa G. Jaime , Leonardo Patino , Marcelo Salgado