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Related papers: Electrically Charged Proca Stars

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In a previous work we constructed different families of stationary electrically charged Proca stars characterized by a charge parameter $q$, by solving the Einstein--Maxwell--Proca system in spherical symmetry, and imposing a harmonic time…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Yahir Mio , Miguel Alcubierre

We consider again stationary solutions to the spherically symmetric Einstein--Maxwell--Klein--Gordon system, commonly known as ``charged boson stars'', originally studied by Jetzer and Van Der Bij. We construct families of charged boson…

General Relativity and Quantum Cosmology · Physics 2023-03-08 José Damián López , Miguel Alcubierre

We construct new families of everywhere regular, asymptotically flat solitons in the Einstein--Proca model, obtained as self-gravitating continuations of flat-spacetime (singular) Proca multipoles. First we consider static and axially…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho , Nicolas Sanchis-Gual

We show that complex, massive spin-1 fields minimally coupled to Einstein's gravity with a negative cosmological constant, admit asymptotically anti-de Sitter self-gravitating solutions. Focusing on 4-dimensional spacetimes, we start by…

General Relativity and Quantum Cosmology · Physics 2016-09-26 Miguel Duarte , Richard Brito

In this paper, we study gauged solutions associated to a massive vector field representing a spin-one condensate, namely the Proca field. We focus on regular spherically-symmetric solutions which we construct either using a self-interaction…

High Energy Physics - Theory · Physics 2016-11-22 Federico García , Ignacio Salazar Landea

Vector boson stars, also known as Proca stars, exhibit remarkable dynamical robustness, making them strong candidates for potential astrophysical exotic compact objects. In search of theoretically well-motivated Proca star models, we…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Claudio Lazarte , Nicolas Sanchis-Gual , José A. Font , Miguel Alcubierre

The Proca wave equation describes a classical massive spin 1 particle. We analyze the gravitational interaction of this vector field. In particular, the spherically symmetric solutions of the Einstein-Proca coupled system are obtained…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Yuri N. Obukhov , Eugen J. Vlachynsky

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 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

We consider a model consists of the Einstein gravity in four-dimensional spacetime, a Proca field and two Dirac fields through minimum coupling. By numerically solving this model, we obtain two types of solutions: synchronized frequency…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Tian-Xiang Ma , Chen Liang , Ji-Rong Ren , Yong-Qiang Wang

The Einstein-Proca system is studied in the case of a complex vector-field self-interacting through an appropriate potential with a global U(1) symmetry. The corresponding equations for a static, cylindrically symmetric metric and matter…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Y. Brihaye , Y. Verbin

We perform fully non-linear numerical simulations within the spherically symmetric Einstein-(complex)Proca system. Starting with Proca field distributions that obey the Hamiltonian, momentum and Gaussian constraints, we show that the…

General Relativity and Quantum Cosmology · Physics 2019-06-18 Fabrizio Di Giovanni , Nicolas Sanchis-Gual , Carlos A. R. Herdeiro , José A. Font

Extending the Proca Lagrangian of a massive complex-valued vector field by self-interaction potential, we construct a large class of spherically symmetric solutions in flat Minkowski background as well as in the self-gravitating case. Our…

General Relativity and Quantum Cosmology · Physics 2017-08-09 Y. Brihaye , Th. Delplace , Y. Verbin

Initially applied to the scalar case, we extend the applicability of the multi-field generalization with angular momentum of bosonic stars to the vector case, in order to obtain new configurations that generalize the one-field spherical…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Claudio Lazarte , Miguel Alcubierre

We establish that massive complex Abelian vector fields (mass $\mu$) can form gravitating solitons, when minimally coupled to Einstein's gravity. Such Proca stars (PSs) have a stationary, everywhere regular and asymptotically flat geometry.…

General Relativity and Quantum Cosmology · Physics 2015-12-15 Richard Brito , Vitor Cardoso , Carlos A. R. Herdeiro , Eugen Radu

We numerically construct a five-dimensional Proca-Maxwell system coupled to an infinite tower of higher-derivative gravity, parameterized by the correction order and coupling constant. While the first-order correction case recovers standard…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Chen-Hao Hao , Yong-Qiang Wang , Jieci Wang

We study the dynamical stability of Proca-Higgs stars, in spherical symmetry. These are solutions of the Einstein-Proca-Higgs model, which features a Higgs-like field coupled to a Proca field, both of which minimally coupled to the…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Marco Brito , Carlos Herdeiro , Nicolas Sanchis-Gual , Etevaldo dos Santos Costa Filho , Miguel Zilhão

We perform numerical evolutions of the fully non-linear Einstein-(complex, massive)Klein-Gordon and Einstein-(complex)Proca systems, to assess the formation and stability of spinning bosonic stars. In the scalar/vector case these are known…

General Relativity and Quantum Cosmology · Physics 2019-12-04 N. Sanchis-Gual , F. Di Giovanni , M. Zilhão , C. Herdeiro , P. Cerdá-Durán , J. A. Font , E. Radu

Vector boson stars, or $\textit{Proca stars}$, have been recently obtained as fully non-linear numerical solutions of the Einstein-(complex)-Proca system. These are self-gravitating, everywhere non-singular, horizonless Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Nicolas Sanchis-Gual , Carlos Herdeiro , Eugen Radu , Juan Carlos Degollado , José A. Font

We study self-gravitating bound states of a complex vector field, known as Proca stars, with a new type of quartic-order self-interaction which does not exist in the case of either a complex scalar field or a real vector field. Depending on…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Katsuki Aoki , Masato Minamitsuji
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