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Related papers: Hairy black-hole solutions in generalized Proca th…

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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

We introduce a novel, well-defined four-dimensional regularized Gauss-Bonnet theory of gravity by applying a dimensional regularization procedure. The resulting theory is a vector-tensor theory within the generalized Proca class. We then…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Christos Charmousis , Pedro G. S. Fernandes , Mokhtar Hassaine

This work presents a new class of exact analytic rotating black hole solutions within five-dimensional generalized Proca theories. Through a Kerr-Schild ansatz where the Proca field is set along a null geodesic congruence, the non-linear…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Mokhtar Hassaine , Ulises Hernandez-Vera

In generalized Proca theories with vector-field derivative couplings, a bunch of hairy black hole solutions have been derived on a static and spherically symmetric background. In this paper, we formulate the odd-parity black hole…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa , Ying-li Zhang

Exact, analytic, asymptotically flat rotating black-hole solutions are exceedingly rare, with only a handful of examples known. Using a Kerr-Schild ansatz, we derive a multitude of exact, analytic, asymptotically flat rotating black-hole…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Pedro G. S. Fernandes

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 study Generalized Proca theories inspired by the recent regularised Proca theory of four-dimensional Gauss-Bonnet gravity. By abandoning the rigid constraints typically imposed by specific regularization schemes, we treat the…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Christos Charmousis , Pedro G. S. Fernandes , Mokhtar Hassaine

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 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

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

Inspired by possibility that the Schwarzschild black hole may not be the unique spherically symmetric vacuum solution to generalisations of general relativity, we consider black holes in pure fourth order higher derivative gravity treated…

High Energy Physics - Theory · Physics 2018-06-12 Kevin Goldstein , James Junior Mashiyane

The generalized Proca theories with second-order equations of motion can be healthily extended to a more general framework in which the number of propagating degrees of freedom remains unchanged. In the presence of a quartic-order…

General Relativity and Quantum Cosmology · Physics 2018-06-15 Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa

Physics beyond the Standard Model is an important candidate for dark matter, and an interesting testing ground for strong-field gravity: the equivalence principle "forces" all forms of matter to fall in the same way, and it is therefore…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Miguel Zilhão , Helvi Witek , Vitor Cardoso

We continue our study on the capabilities of present and future X-ray missions to test the nature of astrophysical black hole candidates via X-ray reflection spectroscopy and distinguish Kerr black holes from other solutions of…

General Relativity and Quantum Cosmology · Physics 2017-05-29 Menglei Zhou , Cosimo Bambi , Carlos A. R. Herdeiro , Eugen Radu

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

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

There exist well-known no-hair theorems forbidding the existence of hairy black hole solutions in general relativity coupled to a scalar conformal field theory in asymptotically flat space. Even in the presence of cosmological constant,…

High Energy Physics - Theory · Physics 2014-05-28 Gaston Giribet , Matias Leoni , Julio Oliva , Sourya Ray

In $U(1)$ gauge-invariant scalar-vector-tensor theories with second-order equations of motion, we study the properties of black holes (BH) on a static and spherically symmetric background. In shift-symmetric theories invariant under the…

General Relativity and Quantum Cosmology · Physics 2018-04-10 Lavinia Heisenberg , Shinji Tsujikawa

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 Proca stars in a vector-tensor gravity model inspired by Horndeski's generalized Einstein-Maxwell field equations, supplemented with a mass term for the vector field. We discuss the effects of the non-minimal coupling term on the…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Y. Brihaye , B. Hartmann , B. Kleihaus , J. Kunz
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