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In the present article we solve, via separation of variables, the massless Dirac equation in a nonstationary rotating, causal G\"odel-type cosmological universe, having a constant rotational speed in all the points of the space. We compute…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Victor M. Villalba

Minimal coupling of a Dirac field to gravity with the most general non-propagating torsion is considered in (1+2)-dimensions. The field equations are obtained from a lagrangian by a variational principle. The space-time torsion is…

General Relativity and Quantum Cosmology · Physics 2013-09-24 Özcan Sert , Muzaffer Adak

Scalar particles are a common prediction of many beyond the Standard Model theories. If they are light and cold enough, there is a possibility they may form Bose-Einstein condensates, which will then become gravitationally bound. These…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-19 Eric Cotner

We consider the Einstein-Dirac field equations describing a self-gravitating massive neutrino, looking for axially-symmetric exact solutions; in the search of general solutions, we find some that are specific and which have critical…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Roberto Cianci , Luca Fabbri , Stefano Vignolo

It has been shown that scalar fields can form gravitationally bound compact objects called boson stars. In this study, we analyze boson star configurations where the scalar fields contain a small amount of angular momentum and find two new…

High Energy Physics - Theory · Physics 2021-04-28 Felix Kling , Arvind Rajaraman , Freida Liz Rivera

The conservation law for the orbital plus spin angular momentum of a free Dirac particle in curved spacetime requires that the affine connection has the antisymmetric part: the torsion tensor, which extends general relativity to the…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Nikodem Popławski

The Stern-Gerlach (SG) experiment is a fundamental experiment for revealing the existence of ``spin''. In such an experiment, beams of silver atoms were sent through inhomogeneous magnetic fields to observe their deflection. Thus, the…

Quantum Physics · Physics 2025-03-28 Jiang-Lin Zhou , Zou-Chen Fu , Choo Hiap Oh , Jing-Ling Chen

We propose a (3+1)D linear set of covariant vector equations, which unify the spin 0 ``new Dirac equation'' with its spin 1/2 counterpart, proposed by Staunton. Our equations describe a spin (0,1/2) supermultiplet with different numbers of…

High Energy Physics - Theory · Physics 2008-11-26 Peter A. Horvathy , Mikhail S. Plyushchay , Mauricio Valenzuela

In this work we study the boson stars and boson shells in a theory involving massive complex scalar fields coupled to the U(1) gauge field and gravity in a conical potential in the presence of a cosmological constant ${\Lambda}$ which we…

High Energy Physics - Theory · Physics 2017-09-28 Sanjeev Kumar , Usha Kulshreshtha , Daya Shankar Kulshreshtha

We study static, spherically symmetric, self-gravitating systems minimally coupled to a scalar field with U(1) gauge symmetry: charged boson stars. We find numerical solutions to the EinsteinMaxwell equations coupled to the relativistic…

High Energy Astrophysical Phenomena · Physics 2013-08-05 Daniela Pugliese , Hernando Quevedo , Jorge A. Rueda H. , Remo Ruffini

A common view is that generalization of a wave equation on Riemannian space-time is substantially determined by what a particle is - boson or fermion. As a rule, they say that tensor equations for bosons are extended in a simpler way then…

Mathematical Physics · Physics 2011-09-13 V. M. Red'kov

In this work we produce a classical Lagrangian description of an elementary spinning particle which satisfies Dirac equation when quantized. We call this particle a classical Dirac particle. We analyze in detail the way we arrive to this…

Classical Physics · Physics 2025-10-21 Juan Barandiaran , Martin Rivas

Boson stars are hypothetical compact objects derived from solutions of a self-gravitating complex scalar field. In this study, we extend the traditional models by generalizing the kinetic term of the scalar field to that of a nonlinear…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Christoph Adam , Jorge Castelo Mourelle , Alberto García Martín-Caro , Andrzej Wereszczynski

We consider axially symmetric, rotating boson stars. Their flat space limits represent spinning Q-balls. We discuss their properties and determine their domain of existence. Q-balls and boson stars are stationary solutions and exist only in…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Meike List

We study f(R)-gravity with torsion in presence of Dirac massive fields. Using the Bianchi identities, we formulate the conservation laws of the theory and we check the consistency with the matter field equations. Further, we decompose the…

General Relativity and Quantum Cosmology · Physics 2011-05-13 Luca Fabbri , Stefano Vignolo

A non-Abelian gauge field with a topological action is coupled to a spin 3/2 Majorana spinor. The symmetries of this model are analyzed using the Dirac constraint formalism. These symmetries include a Fermionic symmetry and the algebra of…

High Energy Physics - Theory · Physics 2017-11-22 D. G. C. McKeon

We consider the Einstein-Dirac system for a massive field, which describes the evolution of self-gravitating massive spinor fields, and we investigate the global evolution problem, when the initial data set is sufficiently close to data…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Philippe G. LeFloch , Yue Ma , Weidong Zhang

We consider compact boson stars that arise for a V-shaped scalar field potential. They represent a one parameter family of solutions of the scaled Einstein-signum-Gordon equations. We analyze the physical properties of these solutions and…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz , Isabell Schaffer

The relativistic Dirac equation in four-dimensional spacetime reveals a coherent relation between the dimensions of spacetime and the degrees of freedom of fermionic spinors. A massless Dirac fermion generates new symmetries corresponding…

High Energy Physics - Theory · Physics 2017-09-01 Yue-Liang Wu

We construct and explore the solution space of two non-spinning, mini-boson stars in equilibrium, in fully non-linear General Relativity (GR), minimally coupled to a free, massive, complex scalar field. The equilibrium is due to the balance…

General Relativity and Quantum Cosmology · Physics 2023-01-11 P. Cunha , C. Herdeiro , E. Radu , Ya. Shnir
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