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We consider a Proca-Higgs model wherein a complex vector field gains mass via spontaneous symmetry breaking, by coupling to a real scalar field with a Higgs-type potential. This vector version of the scalar Friedberg-Lee-Sirlin model, can…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho

A Kerr black hole sporting cosmic string hair is studied in the context of the abelian Higgs model vortex. It is shown that a such a system displays much richer phenomenology than its static Schwarzschild or Reissner--Nordstrom cousins, for…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Ruth Gregory , David Kubiznak , Danielle Wills

Recent studies have made key progress on the black hole/solitonic solutions of the Einstein-Proca system. Firstly, fully non-linear dynamical evolutions of the Kerr black hole superradiant instability, triggered by a Proca field, have shown…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Nuno M. Santos , Carolina L. Benone , Luís C. B. Crispino , Carlos A. R. Herdeiro , Eugen Radu

We consider the $\mathrm{O}(3)$ non-linear sigma-model, composed of three real scalar fields with a standard kinetic term and with a symmetry breaking potential in four spacetime dimensions. We show that this simple, geometrically motivated…

General Relativity and Quantum Cosmology · Physics 2019-05-02 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

We present a family of solutions of Einstein's gravity minimally coupled to a complex, massive scalar field, describing asymptotically flat, spinning black holes with scalar hair and a regular horizon. These hairy black holes (HBHs) are…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Carlos A. R. Herdeiro , Eugen Radu

We show that scalar hair can be added to rotating, vacuum black holes of general relativity. These hairy black holes (HBHs) clarify a lingering question concerning gravitational solitons: if a black hole can be added at the centre of a…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Carlos A. R. Herdeiro , Eugen Radu

The spinning-hairy black holes that occur in Einstein gravity supplemented by a doublet of complex scalar fields are constructed within an extension of the model by a $U(1)$ gauge symmetry involving a massless vector potential. The hairy…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Y. Brihaye , L. Ducobu

Bekenstein proved that in Einstein's gravity minimally coupled to one (or many) real, Abelian, Proca field, stationary black holes (BHs) cannot have Proca hair. Dropping Bekenstein's assumption that matter inherits spacetime symmetries, we…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Carlos Herdeiro , Eugen Radu , Helgi Runarsson

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 present a family of exact black-hole solutions on a static spherically symmetric background in second-order generalized Proca theories with derivative vector-field interactions coupled to gravity. We also derive non-exact solutions in…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Lavinia Heisenberg , Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa

The Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Y. Brihaye , L. Ducobu

We show that, independently of the scalar field potential and of specific asymptotic properties of the spacetime (asymptotically flat, de Sitter or anti-de Sitter), any static, spherically symmetric or planar, black hole or soliton solution…

General Relativity and Quantum Cosmology · Physics 2015-09-22 Andres Anabalon , Jiří Bičák , Joel Saavedra

We consider Einstein gravity in general dimensions, coupled to a scalar field either minimally or non-minimally, together with a generic scalar potential. By making appropriate choices of the scalar potential, we obtain large classes of new…

High Energy Physics - Theory · Physics 2015-09-16 Zhong-Ying Fan , H. Lu

We study the problem of vortex solutions in the background of rotating black holes in both asymptotically flat and asymptoticlly anti de Sitter spacetimes. We demonstrate the Abelian Higgs field equations in the background of four…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Ghezelbash , R. B. Mann

We obtain spinning boson star solutions and hairy black holes with synchronised hair in the Einstein-Klein-Gordon model, wherein the scalar field is massive, complex and with a non-minimal coupling to the Ricci scalar. The existence of…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Carlos A. R. Herdeiro , Eugen Radu

We develop a new technique for finding black hole solutions in modified gravity that have "stealth" hair, i.e., hair whose only gravitational effect is to tune the cosmological constant. We consider scalar-tensor theories in which…

High Energy Physics - Theory · Physics 2019-10-16 Christos Charmousis , Marco Crisostomi , Ruth Gregory , Nikolaos Stergioulas

The asymptotically flat, spherical, electro-vacuum black holes (BHs) are shown to support static, spherical configurations of a gauged, self-interacting, scalar field, minimally coupled to the geometry. Considering a $Q$-ball type potential…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Carlos A. R. Herdeiro , Eugen Radu

We investigate classical and semiclassical signatures of black holes in a recently proposed Proca-Gauss-Bonnet gravity model that admits asymptotically flat solutions with primary hair. Two distinct classes of spherically symmetric metrics…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Bekir Can Lütfüoğlu

We show that spacetime symmetries on any background give rise to stealth vector fields obeying Proca-type equations supplemented by curvature terms. This observation, which is true for solutions of any theory of gravity and with arbitrary…

High Energy Physics - Theory · Physics 2026-05-25 David Kubiznak , Robert B. Mann , Marek Milička

Massive vector fields can form spatially localized, non-relativistic, stationary field configurations supported by gravitational interactions. The ground state configurations (p-solitons/vector solitons/dark photon stars/polarized Proca…

General Relativity and Quantum Cosmology · Physics 2023-09-11 Zipeng Wang , Thomas Helfer , Mustafa A. Amin
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