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Any spacetime containing a degenerate Killing horizon, such as an extremal black hole, possesses a well-defined notion of a near-horizon geometry. We review such near-horizon geometry solutions in a variety of dimensions and theories in a…

High Energy Physics - Theory · Physics 2015-06-16 Hari K. Kunduri , James Lucietti

We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1) symmetry in a special case where one has an…

High Energy Physics - Theory · Physics 2008-11-26 Pau Figueras , Hari K Kunduri , James Lucietti , Mukund Rangamani

The geometries with SL$(2,\mathbb{R})$ and some axial U$(1)$ isometries are called ``near-horizon extremal geometries" and are found usually, but not necessarily, in the near-horizon limit of the extremal black holes. We present a new…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Kamal Hajian

We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries (with non-toroidal horizon…

High Energy Physics - Theory · Physics 2009-07-09 Hari K. Kunduri , James Lucietti

EVH black holes are Extremal black holes with Vanishing Horizon area, where vanishing of horizon area is a result of having a vanishing one-cycle on the horizon. We prove three theorems regarding near horizon geometry of EVH black hole…

High Energy Physics - Theory · Physics 2016-01-08 S. Sadeghian , M. M. Sheikh-Jabbari , M. H. Vahidinia , H. Yavartanoo

The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformal particle associated with such a maximally…

High Energy Physics - Theory · Physics 2013-05-30 Anton Galajinsky

We consider the near-horizon geometries of extremal, rotating black hole solutions of the vacuum Einstein equations, including a negative cosmological constant, in four and five dimensions. We assume the existence of one rotational symmetry…

High Energy Physics - Theory · Physics 2009-09-03 Hari K. Kunduri , James Lucietti

We study the near horizon structure of Extremal Vanishing Horizon (EVH) black holes, extremal black holes with vanishing horizon area with a vanishing one-cycle on the horizon. We construct the most general near horizon EVH and near-EVH…

High Energy Physics - Theory · Physics 2016-01-08 S. Sadeghian , M. M. Sheikh-Jabbari , M. H. Vahidinia , H. Yavartanoo

We consider the classification of static near-horizon geometries of stationary extremal (not necessarily BPS) black hole solutions of five dimensional Einstein-Maxwell theory coupled to a Chern-Simons term with coupling xi (with xi=1…

High Energy Physics - Theory · Physics 2009-12-23 Hari K. Kunduri , James Lucietti

We classify all pseudo-supersymmetric near horizon geometries of extremal black holes in five dimensional de-Sitter supergravity coupled to vector multiplets. We find that there are three types of solution. The first type corresponds to the…

High Energy Physics - Theory · Physics 2015-05-20 J. B. Gutowski , W. A. Sabra

A new class of black hole solutions of the five dimensional minimal gauged supergravity is presented. They are characterized by the mass, the electric charge, two equal magnitude angular momenta and the magnitude of the magnetic potential…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We study the near horizon geometry of extremal black holes in five dimensional gauged supergravity using Sen's entropy function formalism. Special attention is paid to the large black hole limit where the near horizon solution exhibits a…

High Energy Physics - Theory · Physics 2008-11-26 Jaehyung Choi , Sungjay Lee , Sangmin Lee

We investigate the symmetries of the near horizon geometry of extremal stationary black holes in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the…

High Energy Physics - Theory · Physics 2008-11-26 Dumitru Astefanesei , Hossein Yavartanoo

We consider the near-horizon geometry of supersymmetric extremal black holes in un-gauaged and gauged 5-dimensional supergravity, coupled to abelian vector multiplets. By analyzing the global properties of the Killing spinors, we prove that…

High Energy Physics - Theory · Physics 2018-05-10 U. Kayani

In this work, we investigate the $n$-dimensional charged static black hole solutions in the Einstein-\ae ther theory. By taking the metric parameter $k$ to be $1,0$, and $-1$, we obtain the spherical, planar, and hyperbolic spacetimes…

General Relativity and Quantum Cosmology · Physics 2019-01-11 Kai Lin , Fei-Hung Ho , Wei-Liang Qian

Iterative solutions to fourth-order gravity describing static and electrically charged black holes are constructed. Obtained solutions are parametrized by two integration constants which are related to the electric charge and the exact…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jerzy Matyjasek , Dariusz Tryniecki

We consider the classification of near-horizon geometries in a general two-derivative theory of gravity coupled to abelian gauge fields and uncharged scalars in four and five dimensions, with one and two commuting rotational symmetries…

High Energy Physics - Theory · Physics 2011-07-28 Hari K. Kunduri , James Lucietti

Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon.…

High Energy Physics - Theory · Physics 2010-11-01 Sandip P. Trivedi

We show that the general charged, rotating black hole in five-dimensional Einstein-Maxwell theory has a singular extremal limit. Only the known analytic solutions with exactly zero charge or zero angular momenta have smooth extremal…

High Energy Physics - Theory · Physics 2024-12-11 Gary T. Horowitz , Jorge E. Santos

We consider Einstein-Maxwell gravity in diverse dimensions and construct the small charge perturbation to the extremal rotating black holes with all equal angular momenta in odd $D=2n+1$ dimensions. Exact solutions exist at the…

High Energy Physics - Theory · Physics 2025-12-18 Qi-Yuan Mao , H. Lu
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