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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

Kerr black holes with synchronised hair [arXiv:1403.2757, arXiv:1603.02687] are a counter example to the no hair conjecture, in General Relativity minimally coupled to simple matter fields (with mass $\mu$) obeying all energy conditions.…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Juan Carlos Degollado , Carlos A. R. Herdeiro , Eugen Radu

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 investigate the gravitational lensing by spinning Proca stars and the shadows and lensing by Kerr black holes (BHs) with synchronised Proca hair, discussing both theoretical aspects and observational constraints from the Event Horizon…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Ivo Sengo , Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu

Recently, various examples of asymptotically flat, rotating black holes (BHs) with synchronized hair have been explicitly constructed, including Kerr BHs with scalar or Proca hair, and Myers-Perry BHs with scalar hair and a mass gap,…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Yves Brihaye , Carlos Herdeiro , Eugen Radu

We construct and analyse Kerr black holes (BHs) with synchronised axionic hair. These are the BH generalisations of the recently constructed rotating axion boson stars arXiv:2005.05982. Such BHs are stationary, axially symmetric,…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

Black holes (BHs) with synchronized bosonic hair challenge the Kerr paradigm, linking superradiance from ultralight fields -- creating gravitational atoms -- to bosonic stars across parameter space. In the ''very hairy'' regime, where a…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Jordan Nicoules , José Ferreira , Carlos A. R. Herdeiro , Eugen Radu , Miguel Zilhão

Recently, various families of black holes (BHs) with synchronised hair have been constructed. These are rotating BHs surrounded, as fully non-linear solutions of the appropriate Einstein-matter model, by a non-trivial bosonic field in…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Carlos Herdeiro , Jutta Kunz , Eugen Radu , Bintoro Subagyo

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 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

Recent numerical relativity simulations within the Einstein--Maxwell--(charged-)Klein-Gordon (EMcKG) system have shown that the non-linear evolution of a superradiantly unstable Reissner-Nordstr\"om black hole (BH) enclosed in a cavity,…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Nicolas Sanchis-Gual , Juan Carlos Degollado , José A. Font , Carlos Herdeiro , Eugen Radu

We study the horizon geometry of Kerr black holes (BHs) with scalar synchronised hair, a family of solutions of the Einstein-Klein-Gordon system that continuously connects to vacuum Kerr BHs. We identify the region in parameter space…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

We investigate thin-disk imaging of Kerr black holes with synchronized scalar hair, focusing on backreacted parity-odd excited states of a complex scalar field minimally coupled to Einstein gravity. The spacetime displays a…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Qian Wan , Yehui Hou , Yang Huang , Peng-Cheng Li , Minyong Guo , Bin Chen

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

Kerr black holes with synchronised scalar hair and azimuthal harmonic index $m>1$ are constructed and studied. The corresponding domain of existence has a broader frequency range than the fundamental $m=1$ family; moreover, larger ADM…

General Relativity and Quantum Cosmology · Physics 2019-04-10 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

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

Massive scalar perturbations of asymptotically de Sitter black holes in generalized Proca theory display a sharp interplay between primary hair, horizon structure, and field mass. Using high-order WKB calculations supplemented by…

General Relativity and Quantum Cosmology · Physics 2026-05-22 S. V. Bolokhov

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

Black hole (BH) solutions endowed with nontrivial scalar or matter fields - commonly known as hairy black holes - have attracted significant interest in recent years. They admit extra parameters beyond mass, charge, and angular momentum,…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Anirban Dasgupta , Supragyan Priyadarshinee , Indrani Banerjee , Subhash Mahapatra

Hypothetical ultralight bosonic fields will spontaneously form macroscopic bosonic halos around Kerr black holes, via superradiance, transferring part of the mass and angular momentum of the black hole into the halo. Such process, however,…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu
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