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Related papers: Proca Q Balls and their Coupling to Gravity

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The Proca field describes a massive relativistic spin-$1$ particle and was originally formulated in Minkowski spacetime. Here we consider a variety of generalizations in globally hyperbolic spacetimes, including couplings between a number…

Mathematical Physics · Physics 2025-11-17 Christopher J. Fewster , Christiane K. M. Klein

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

We study boson stars in a theory of complex scalar field coupled to Einstein gravity with the potential: $V(|\Phi|) := m^{2} |\Phi|^2 +2 \lambda |\Phi|$ (where $m^2$ and $\lambda$ are positive constant parameters). This could be considered…

High Energy Physics - Theory · Physics 2016-05-24 Sanjeev Kumar , Usha Kulshreshtha , Daya Shankar Kulshreshtha

We present a systematic construction of the most general first order Lagrangian describing an arbitrary number of interacting Maxwell and Proca fields on Minkowski spacetime. To this aim, we first formalize the notion of a Proca field, in…

High Energy Physics - Theory · Physics 2020-02-26 Verónica Errasti Díez , Brage Gording , Julio A. Méndez-Zavaleta , Angnis Schmidt-May

Bosons carrying a conserved charge can form stable bound states if their Lagrangian contains attractive self-interactions. Bound-state configurations with a large charge $Q$ can be described classically and are denoted as Q-balls, their…

High Energy Physics - Phenomenology · Physics 2023-02-01 Julian Heeck , Mikheil Sokhashvili

We construct and explore the physical properties of \textit{scalaroca stars}: spherically symmetric solitonic solutions made of a complex scalar field $\Phi$ and a complex Proca field $A^\mu$. We restrict our attention to configurations in…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Alexandre M. Pombo , João M. S. Oliveira , Nuno M. Santos

Scalars carrying a conserved global charge $Q$ can form stable localized field configurations composed of a large number of particles. These non-topological solitons are spherically symmetric and are called Q-balls. While usually analyzed…

High Energy Physics - Phenomenology · Physics 2026-04-03 Dusty Aiello , Julian Heeck

We consider a Dirac field coupled minimally to the Mielke-Baekler model of gravity and investigate cosmological solutions in three dimensions. We arrive at a family of solutions which exists even in the limit of vanishing cosmological…

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

For a massive vector field with derivative self-interactions, the breaking of the gauge invariance allows the propagation of a longitudinal mode in addition to the two transverse modes. We consider generalized Proca theories with…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa , Ying-li Zhang , Gong-Bo Zhao

We present the most general ghost-free classical Lagrangian containing first-order derivatives and describing interacting real Abelian spin-one fields on Minkowski spacetime. We study both massive Proca and massless Maxwell fields and allow…

High Energy Physics - Theory · Physics 2020-02-26 Verónica Errasti Díez , Brage Gording , Julio A. Méndez-Zavaleta , Angnis Schmidt-May

When describing gravity at high energies it is natural to introduce terms quadratic in the curvature as first corrections to the Einstein-Hilbert action. Static, spherically symmetric classical solutions are studied in the case of the…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Samuele Silveravalle

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

One possible solution of the cosmological constant problem involves a so-called $q$-field, which self-adjusts so as to give a vanishing gravitating vacuum energy density (cosmological constant) in equilibrium. We show that this $q$-field…

High Energy Physics - Theory · Physics 2017-06-21 F. R. Klinkhamer , G. E. Volovik

We study the gravitational potential generated by static, spherically symmetric matter distributions in a quadratic $f(R)$ gravity model. In the weak-field regime, the linearized field equations lead to a fourth-order modified Poisson…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Roger Anderson Hurtado

We consider static spherically symmetric stellar configurations in Palatini theories of gravity in which the Lagrangian is an unspecified function of the form f(R,R_{\mu\nu}R^{\mu\nu}). We obtain the Tolman-Oppenheimer-Volkov equations…

General Relativity and Quantum Cosmology · Physics 2012-11-06 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

It is shown that a quadratic gravitational Lagrangian in the Palatini formulation is able to capture different aspects of quantum gravity phenomenology in a single framework. In particular, in this theory field excitations propagating with…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Gonzalo J. Olmo

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 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 study a self-interacting scalar field theory coupled to gravity and are interested in spherically symmetric solutions with a regular origin surrounded by a horizon. For a scalar potential containing a barrier, and using the most general…

High Energy Physics - Theory · Physics 2021-08-11 George Lavrelashvili , Jean-Luc Lehners , Marc Schneider

In the framework of $f(T)$ theories of gravity, we solve the field equations for $f(T)=T+\alpha T^{n}$, in the weak-field approximation and for spherical symmetry spacetime. Since $f(T)=T$ corresponds to Teleparallel Gravity, which is…

General Relativity and Quantum Cosmology · Physics 2015-08-13 Lorenzo Iorio , Ninfa Radicella , Matteo Luca Ruggiero