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We summarize results from a study of spherically symmetric collapse of a {\it charged} (complex) massless scalar-field \cite{Hod}. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod , Tsvi Piran

It has recently been revealed that, in curved black-hole spacetimes, non-minimally coupled massive Proca fields may be characterized by the existence of poles in their linearized perturbation equations and may therefore develop…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Shahar Hod

We establish the existence of a family of static, spherically symmetric spacetimes that are solutions of the Einstein Field Equations of General Relativity coupled to the electric field of a static point charge obeying the equations of…

General Relativity and Quantum Cosmology · Physics 2025-08-11 Erik Amorim

The superradiant growth of massive vector fields in rotating black hole spacetimes has garnered significant attention in recent literature. However, the majority of these studies overlook the influence of a cosmological constant, which…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Shaun David Brocus Fell , Lavinia Heisenberg

We investigate the properties of non-rotating, electrically charged strange quark stars in four-dimensional Einstein-Maxwell theory. For quark matter we adopt the well-motivated quantum chromodynamics (QCD) equation-of-state, while for the…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Grigoris Panotopoulos , Takol Tangphati , Ayan Banerjee

The Proca potential has been used in many contexts in flat spacetime, but not so often in curved spacetime. Here, the static Proca potentials are derived on a Schwarzschild background, and are found to have very different forms from those…

General Physics · Physics 2016-10-13 Chris Vuille

Under spherical symmetry, we show that the weak cosmic censorship holds for the gravitational collapse of the Einstein-Maxwell-charged scalar field system. Namely, for this system, with generic initial data, the formed spacetime…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Xinliang An , Hong Kiat Tan

The generalized SU(2) Proca theory is a vector-tensor modified gravity theory characterized by an action that remains invariant under both diffeomorphisms and global internal transformations of the SU(2) group. This study aims to further…

General Relativity and Quantum Cosmology · Physics 2024-11-27 Jhan N. Martinez , Jose F. Rodriguez , Laura M. Becerra , Yeinzon Rodriguez , Gabriel Gomez

I introduce (Extended) Proca-Nuevo, a non-linear theory of a massive spin-1 field enjoying a non-linearly realized constraint. I will provide a covariantization scheme that allows for consistent, ghost-free cosmological solutions,…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Victor Pozsgay

In this paper we investigate the Proca-field in the framework of Loop Quantum Gravity. It turns out that the methods developed there can be applied to the symplectically embedded Proca-field, giving a rigorous, consistent, non-perturbative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gabor Helesfai

We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

We find static spherically symmetric monopoles in Einstein-Born-Infeld-Higgs model in 3+1 dimensions. The solutions exist only when a parameter $\a $ (related to the strength of Gravitational interaction) does not exceed certain critical…

High Energy Physics - Theory · Physics 2010-11-19 Prasanta K. Tripathy

The physical modes of a recently proposed D-dimensional "critical gravity", linearized about its anti-de Sitter vacuum, are investigated. All "log mode" solutions, which we categorize as `spin 2' or `Proca', arise as limits of the massive…

High Energy Physics - Theory · Physics 2011-06-02 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Paul K. Townsend

There is increasing numerical evidence that scalar fields can form long-lived quasi-bound states around black holes. Recent perturbative and numerical relativity calculations have provided further confirmation in a variety of physical…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Alejandro Escorihuela-Tomàs , Nicolas Sanchis-Gual , Juan Carlos Degollado , José A. Font

This thesis presents recent studies on test scalar and vector fields around black holes. It is separated in two parts according to the asymptotic properties of the spacetime under study. In the first part, we investigate scalar and Proca…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Mengjie Wang

We investigate the static and spherically symmetric solutions in a class of the generalized Proca theory with the nonminimal coupling to the Einstein tensor. First, we show that the solutions in the scalar-tensor theory with the nonminimal…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Masato Minamitsuji

We present the self-consistent treatment of the simplest, nontrivial, self-gravitating system of degenerate neutrons, protons and electrons in $\beta$-equilibrium within relativistic quantum statistics and the Einstein-Maxwell equations.…

General Relativity and Quantum Cosmology · Physics 2011-09-14 M. Rotondo , Jorge A. Rueda , R. Ruffini , S. -S. Xue

In this work we present some new results which we have obtained in a study of the phase diagram of charged compact boson stars in the theory involving massive complex scalar fields coupled to the U(1) gauge field and gravity in a conical…

High Energy Physics - Theory · Physics 2016-06-01 Sanjeev Kumar , Usha Kulshreshtha , Daya Shankar Kulshreshtha

We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger--Dyson equations in rainbow-quenched and unquenched approximations. The (3+1)D gauge-field mass $m$, fine-structure constant $\alpha$,…

High Energy Physics - Theory · Physics 2025-11-18 Helio G. Barroso , Van Sérgio Alves , Leandro O. Nascimento

The existence of localized, approximately stationary, lumps of the classical gravitational and electromagnetic field -- $geons$ -- was conjectured more than half a century ago. If one insists on exact stationarity, topologically trivial…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Carlos A. R. Herdeiro , Alexandre M. Pombo , Eugen Radu