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While non-rotating black-hole solutions are well known in Einstein--\ae{}ther gravity, no axisymmetric solutions endowed with Killing horizons have been so far found outside of the slowly rotating limit. Here we show that the Kerr spacetime…

General Relativity and Quantum Cosmology · Physics 2024-04-22 Edgardo Franzin , Stefano Liberati , Jacopo Mazza

Toward the Kerr/CFT correspondence for generic non-extremal Kerr black hole, the analysis of scattering amplitudes by near extremal Kerr provides a clue. This pursuit reveals a hidden conformal symmetry in the law frequency wave equation…

High Energy Physics - Theory · Physics 2010-11-30 Yoshinori Matsuo , Takuya Tsukioka , Chul-Moon Yoo

A spherically symmetric solution of the field equations of the Ho\v{r}ava--Lifshitz gravity--gauge vector interaction theory is obtained and analyzed. It describes a charged throat. The solution exists provided a restriction on the relation…

High Energy Physics - Theory · Physics 2023-01-11 Alvaro Restuccia , Francisco Tello-Ortiz

I rederive the Kerr/CFT correspondence without first taking the near-horizon extremal Kerr limit. This method extends easily to nonextremal black holes, for which the temperature and central charge behave poorly at the horizon but the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 S. Carlip

We study the conformal symmetry described by $SL(2,R)_L \times SL(2,R)_R$ in the nonextremal Kerr black hole case. We calculate the central charges $c_{L,R}$ separately on a stretched horizon by the Hamiltonian gravity. In order to get two…

High Energy Physics - Theory · Physics 2013-05-14 Ee Chang-Young , Myungseok Eune

We present new exact solutions of Force-Free Electrodynamics (FFE) in the Near-Horizon region of an Extremal Kerr black hole (NHEK) and offer a complete classification of the subset that form highest-weight representations of the…

High Energy Physics - Theory · Physics 2015-09-02 Alexandru Lupsasca , Maria J. Rodriguez

We study the CFT dual to five dimensional extremal rotating black holes, by investigating the two dimensional perspective of their near horizon geometry. From two dimensional point of view, we show that both gauge fields, related to the two…

High Energy Physics - Theory · Physics 2014-04-01 Hesam Soltanpanahi

We consider two solutions of Einstein-$\Lambda$ theory which admit the extremal vanishing horizon (EVH) limit, odd-dimensional multi-spinning Kerr black hole (in the presence of cosmological constant) and cosmological soliton. We show that…

High Energy Physics - Theory · Physics 2017-08-09 S. Sadeghian , M. H. Vahidinia

The ring wormhole is the zero-mass limit of the Kerr metric. Its geometry is locally flat, but the topology is nontrivial, with a throat connecting two asymptotic regions and a distributional curvature singularity on the ring encircling the…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Mikhail S. Volkov

The conjectured magnetized Kerr/CFT correspondence states that the quantum theory of gravity in the near horizon of extreme Kerr black holes immersed by the magnetic field, Near Horizon Extreme Magnetized Kerr black holes, is holographic…

High Energy Physics - Theory · Physics 2016-12-05 Muhammad F A R Sakti , Philin Y D Sagita , A Suroso , Freddy P Zen

The Kerr/CFT correspondence has been recently broadened to the general extremal black holes under the assumption that the central charges from the non-gravitational fields vanish. To confirm this proposal, we derive the expression of the…

High Energy Physics - Theory · Physics 2009-06-10 Geoffrey Compère , Keiju Murata , Tatsuma Nishioka

We study the near horizon limit of a four dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group SL(2,R) x U(1). We show that many of the properties of this…

High Energy Physics - Theory · Physics 2016-08-25 James Bardeen , Gary T. Horowitz

We analyze the possible dynamical emergence of IR conformal field theory describing the low-energy excitations of near-extremal black holes in five-dimensional compactification of heterotic strings. We find that, by tuning the mass and…

High Energy Physics - Theory · Physics 2013-01-17 Hossein Yavartanoo

We revisit the spectrum of linear axisymmetric gravitational perturbations of the (near-)extreme Kerr black hole. Our aim is to characterise those perturbations that are responsible for the deviations away from extremality, and to contrast…

High Energy Physics - Theory · Physics 2021-08-18 Alejandra Castro , Victor Godet , Joan Simón , Wei Song , Boyang Yu

According to the no-hair theorem, the Kerr-Newman black hole solution represents the most general asymptotically flat, stationary (electro-) vacuum black hole solution in general relativity. The procedure described here shows how this…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Reinhard Meinel

Exterior geometries of physical black holes are believed to asymptotically approach the Kerr--de Sitter spacetime at late times. A characteristic feature of that vacuum Einstein solution is the presence of a hidden symmetry generated by a…

General Relativity and Quantum Cosmology · Physics 2025-09-22 Samuel Blitz , Jarosław Kopiński

We present a one-function family of solutions to 4D vacuum Einstein equations. While all diffeomorphic to the same extremal Kerr black hole, they are labeled by well-defined conserved charges and are hence distinct geometries. We show that…

High Energy Physics - Theory · Physics 2018-07-31 K. Hajian , M. M. Sheikh-Jabbari , H. Yavartanoo

We investigate linear perturbations of spin-s fields in the Kerr-AdS black hole and in its near-horizon geometry (NHEK-AdS), using the Teukolsky master equation and the Hertz potential. In the NHEK-AdS geometry we solve the associated…

High Energy Physics - Theory · Physics 2015-06-11 Oscar J. C. Dias , Jorge E. Santos , Maren Stein

A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from the boundary. It is proved that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michael T. Anderson

We consider Kerr-Newman-AdS-dS black holes near extremality and work out the near-horizon geometry of these near-extremal black holes. We identify the exact U(1)_L x U(1)_R isometries of the near-horizon geometry and provide boundary…

High Energy Physics - Theory · Physics 2011-08-03 Jorgen Rasmussen