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A non-canonical correspondence of the complete sets of solutions to the Dirac and Klein-Gordon free equations in Minkowski space-time is established. This allows for a novel viewpoint on the relationship of relativistic equations for…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Vladimir V. Kassandrov

We study the gravitational field sourced by localized scalar fields (lumps) in higher-derivative theories of gravity. By working in a static and spherically symmetric configuration, we find the linearized spacetime metrics generated by…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Luca Buoninfante , Yuichi Miyashita

It is shown that the 4D Einstein-Klein-Gordon equations with a phantom scalar field (a scalar field with a negative sign in front of the kinetic energy term of its Lagrange density) has non-singular, spherically symmetry solutions. These…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Vladimir Dzhunushaliev , Vladimir Folomeev , Ratbay Myrzakulov , Douglas Singleton

A spinor theory on a space with linear Lie type noncommutativity among spatial coordinates is presented. The model is based on the Fourier space corresponding to spatial coordinates, as this Fourier space is commutative. When the group is…

High Energy Physics - Theory · Physics 2012-08-14 A. Shariati , M. Khorrami , A. H. Fatollahi

Recently, static and spherically symmetric configurations of globally regular self-gravitating scalar solitons were found. These configurations are unstable with respect to radial linear perturbations. In this paper we study the dynamical…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Miguel Alcubierre , Jose A. Gonzalez , Marcelo Salgado

Homogeneous isotropic cosmological models built in the framework of the Poincar\'e gauge theory of gravity based on general expression of gravitational Lagrangian with indefinite parameters are analyzed. Special points of cosmological…

General Relativity and Quantum Cosmology · Physics 2014-12-23 A. S. Garkun , V. I. Kudin , A. V. Minkevich

We investigate a static solution with spherical symmetry of a recently proposed field theory of gravitation. In this so-called NDL theory, matter interacts with gravity in accordance with the Weak Equivalence Principle, while gravitons have…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Novello , S. E. Perez Bergliaffa , K. E. Hibberd

In the special case of a spherically symmetric solution of Einstein equations coupled to a scalar massless field, we examine the consequences on the exact solution imposed by a semiclassical treatment of gravitational interaction when the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Sergio Doplicher , Gerardo Morsella , Nicola Pinamonti

The framework of the relativistic quantum mechanics on spatially flat FLRW space-times is considered for deriving the analytical solutions of the Dirac equation in different local charts of these manifolds. Systems of commuting conserved…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Ion I. Cotaescu

In this paper we follow an effective theory approach to study the nonrelativistic limit of a selfgravitating and selfinteracting massive vector field. Our effective theory is characterized by three parameters: the field's mass $m_0$ and the…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Emmanuel Chávez Nambo , Alberto Diez-Tejedor , Edgar Preciado-Govea , Armando A. Roque , Olivier Sarbach

We investigate the evolution of anisotropies in Einstein-Gauss-Bonnet theory with a scalar field coupled to the Gauss-Bonnet term. Specifically, we examine the simplest scenario in which the scalar field lacks a kinetic term, and its…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Alex Giacomini , Andronikos Paliathanasis , Alexey Toporensky

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called…

General Relativity and Quantum Cosmology · Physics 2018-12-14 J. Erik Baxter

Multidimensional theories still remain attractive from the point of view of better understanding fundamental interactions. In this paper a six-dimensional Kaluza-Klein type model at the classical, Einstein's gravity formulation is…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Jacek Syska

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

Spherically symmetric oscillatons (also referred to as oscillating soliton stars) i.e. gravitationally bound oscillating scalar lumps are considered in theories containing a massive self-interacting real scalar field coupled to Einstein's…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Gyula Fodor , Péter Forgács , Márk Mezei

Properties of soliton stars that could be expected to naturally arise out of a first order phase transition in non-minimally coupled scalar-field-induced gravity theories are investigated. Of particular interest are configurations, similar…

General Relativity and Quantum Cosmology · Physics 2016-07-11 Daksh Lohiya , Vartika Gupta

We use the Klein-Gordon equation in a curved spacetime to construct the relativistic analog of the Schr\"odinger-Newton problem, where a scalar particle lives in a gravitational potential well generated by its own probability distribution.…

High Energy Physics - Theory · Physics 2023-07-12 D. A. Taylor , S. S. Chabysheva , J. R. Hiller

We construct and dynamically evolve dipolar, self-interacting scalar boson stars in a model with sextic (+ quartic) self-interactions. The domain of existence of such dipolar $Q$-stars has a similar structure to that of the fundamental…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Pedro Ildefonso , Miguel Zilhão , Carlos Herdeiro , Eugen Radu , Nuno M. Santos

This paper is devoted to prove the existence of solitons on lattices. We are interested in solitary waves and solitons whose existence is related to the ratio energy/charge. These solitary waves are called hylomorphic. This class includes…

Analysis of PDEs · Mathematics 2010-03-09 Vieri Benci , Donato Fortunato

Numerical arguments are presented for the existence of spherically symmetric regular and black hole solutions of the EYMH equations with a negative cosmological constant. These solutions approach asymptotically the anti-de Sitter spacetime.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. J. van der Bij , Eugen Radu
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