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Related papers: Horndeski Proca stars with vector hair

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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 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

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

We study the optical properties of black holes endowed with primary Proca hair, focusing on the distinctive double-peak structure generated in the effective potential by the massive vector field. This novel feature drastically modifies the…

General Relativity and Quantum Cosmology · Physics 2026-02-02 R. A. Konoplya , D. Ovchinnikov , J. Schee

We study static and spherically symmetric black hole (BH) solutions in second-order generalized Proca theories with nonminimal vector field derivative couplings to the Ricci scalar, the Einstein tensor, and the double dual Riemann tensor.…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Lavinia Heisenberg , Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa

Explaining the late time acceleration is one of the most challenging tasks for theoretical physicists today. Infra-red modification of Einstein's general theory of relativity (GR) is a possible route to model late time acceleration. In this…

General Relativity and Quantum Cosmology · Physics 2020-05-08 Mostafizur Rahman , Anjan A. Sen

We discuss a new perturbation method to study the dynamics of massive vector fields on (near-)extremal static black hole spacetimes. We start with, as our background, a rather generic class of warped product metrics, and classify the field…

General Relativity and Quantum Cosmology · Physics 2019-10-29 Kodai Ueda , Akihiro Ishibashi

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

Using the method of covariant symbols we compute the divergent part of the effective action of the Proca field with non-minimal mass term. Specifically a quantum Abelian vector field with a non-derivative coupling to an external tensor…

High Energy Physics - Theory · Physics 2019-06-26 C. Garcia-Recio , L. L. Salcedo

Massive vector fields feature in several areas of particle physics, e.g., as carriers of weak interactions, dark matter candidates, or as an effective description of photons in a plasma. Here we investigate vector fields with…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Katy Clough , Thomas Helfer , Helvi Witek , Emanuele Berti

We model a single black hole in equilibrium with a dark photon-cold dark matter environment. Representing the dark photon as a Proca field, we show that a Schwarzschild black hole grows vector-field "hair" when allowed to accrete from an…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Fredric Hancock , Helvi Witek

We present a systematic study of the dynamics and gravitational-wave emission of head-on collisions of spinning vector boson stars, known as Proca stars. To this aim we build a catalogue of about 800 numerical-relativity simulations of such…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Nicolas Sanchis-Gual , Juan Calderón Bustillo , Carlos Herdeiro , Eugen Radu , José A. Font , Samson H. W. Leong , Alejandro Torres-Forné

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

We study the influence of a massive vector (Proca) field on the energy fluxes from extreme-mass-ratio inspirals (EMRIs) around a slowly rotating Kerr black hole. The secondary compact object, carrying a Proca hair, emits additional dipolar…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Tieguang Zi , Peng-Cheng Li , Bao-Min Gu , Fu-Wen Shu

Classical black holes are known for almost half a century to nullify exterior classical massive vector field associated with a charge crossing the event horizon. This implies that, from the point of view of an external observer, the Proca…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Andrei L. Erofeev

In this paper we consider generalised Proca theories coupled to any background field and with time-time and time-space components of Hessian of the vector sector are zero, whereas the space-space part is non-degenerate. By using…

High Energy Physics - Theory · Physics 2020-03-18 Jarunee Sanongkhun , Pichet Vanichchapongjaroen

Scalar fields coupled to dark matter by conformal or disformal transformations give rise to a general class of scalar-tensor theories which leads to a rich phenomenology in a cosmological setting. While this possibility has been studied…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Gabriel Gómez

Horndeski derived a most general vector-tensor theory in which the vector field respects the gauge symmetry and the resulting dynamical equations are of second order. The action contains only one free parameter, $\lambda$, that determines…

General Relativity and Quantum Cosmology · Physics 2013-03-12 John D. Barrow , Mikjel Thorsrud , Kei Yamamoto

We examine the possibility of spontaneous vectorization in the vector-tensor theories with the vector conformal and disformal couplings to matter. We study the static and spherically symmetric solutions of the relativistic stars with the…

General Relativity and Quantum Cosmology · Physics 2020-05-28 Masato Minamitsuji

In this work, we investigate the five-dimensional Proca star under gravity with the infinite tower of higher curvature corrections. We find that when the coupling constant exceeds a critical value, solutions with a frequency approaching…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Jun-Ru Chen , Yong-Qiang Wang