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Motivated by the recent studies of the novel asymptotically global AdS$_4$ black hole with deforming horizon, we consider the action of Einstein-Maxwell gravity in AdS spacetime and construct the charged deforming AdS black holes with…

High Energy Physics - Theory · Physics 2020-08-26 Tong-Tong Hu , Shuo Sun , Hong-Bo Li , Yong-Qiang Wang

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

In holography, the IR behavior of a quantum system at nonzero density is described by the near horizon geometry of an extremal charged black hole. It is commonly believed that for systems on $S^3$, this near horizon geometry is $AdS_2\times…

High Energy Physics - Theory · Physics 2023-03-22 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this…

High Energy Physics - Theory · Physics 2023-02-15 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

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 consider stationary extreme black hole solutions to the Einstein-Yang-Mills equations in four dimensions, allowing for a negative cosmological constant. We prove that any axisymmetric black hole of this kind possesses a near-horizon…

High Energy Physics - Theory · Physics 2013-04-23 Carmen Li , James Lucietti

We analyze the thermodynamic response near extremality of charged black holes in four-dimensional Einstein-Maxwell theory with a positive cosmological constant. The latter exhibit three different extremal limits, dubbed cold, Nariai and…

High Energy Physics - Theory · Physics 2023-08-02 Alejandra Castro , Francesca Mariani , Chiara Toldo

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

In this note, we explore holographic attributes of four-dimensional near-extremal Reissner-Nordstrom black hole solutions in ungauged ${\cal N}=2$ supergravity theories at the two-derivative level by recasting them as a specific first-order…

High Energy Physics - Theory · Physics 2022-05-25 Pedro Aniceto , Gabriel Lopes Cardoso , Suresh Nampuri

We determine all infinitesimal transverse deformations of extreme horizons in Einstein-Maxwell theory that preserve axisymmetry. In particular, we show that the general static transverse deformation of the AdS(2) X S(2) near-horizon…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Carmen Li , James Lucietti

We study hairy black holes in Einstein-Maxwell-complex scalar theory in four-dimensional asymptotically global anti-de Sitter (AdS) spacetime when the Robin boundary conditions are imposed on the scalar field. This setup is dual to the…

High Energy Physics - Theory · Physics 2023-07-05 Tomohiro Harada , Takaaki Ishii , Takuya Katagiri , Norihiro Tanahashi

Near-extremal black holes are subject to large quantum effects, which modify their low-temperature thermodynamic behavior. Hitherto, these quantum effects were analyzed by separating the geometry into the near-horizon region and its…

High Energy Physics - Theory · Physics 2025-10-06 Maciej Kolanowski , Donald Marolf , Ilija Rakic , Mukund Rangamani , Gustavo J. Turiaci

We consider the inverse problem of determining all extreme black hole solutions to the Einstein equations with a prescribed near-horizon geometry. We investigate this problem by considering infinitesimal deformations of the near-horizon…

General Relativity and Quantum Cosmology · Physics 2016-03-22 Carmen Li , James Lucietti

It is shown that the near horizon geometry of a generic extreme regular black hole solution of Einstein gravity coupled to nonlinear electrodynamics is described by the $AdS_2 \times S^2$ spacetime.

General Relativity and Quantum Cosmology · Physics 2018-11-14 Sergei Filyukov

We obtain new solutions of Einsteinian cubic gravity coupled to a Maxwell field that describe the near-horizon geometry of charged and rotating black holes. We show that the AdS$_2\times\mathbb{S}^2$ near-horizon geometry of…

High Energy Physics - Theory · Physics 2020-02-19 Pablo A. Cano , David Pereñiguez

It has recently been noted that deformations of extremal AdS black holes in four and higher dimensions are generically non-smooth or singular on the horizon. Further, it was found that certain deformations of asymptotically flat extremal…

High Energy Physics - Theory · Physics 2024-10-29 Calvin Y. -R. Chen , Claudia de Rham , Andrew J. Tolley

We show that in presence of a cosmological constant or, more generally, of a scalar potential, there can exist actually more possibilities for the horizon geometry of a four-dimensional black hole than the hitherto known spherical,…

High Energy Physics - Theory · Physics 2014-04-23 Dietmar Klemm

We construct fully backreacted charged black brane solutions with a spatially disordered chemical potential in asymptotically AdS$_3$ and AdS$_4$, providing holographic duals of strongly coupled disordered systems. At intermediate…

High Energy Physics - Theory · Physics 2025-09-11 Daniel Arean , Sebastian Grieninger , Pau G. Romeu

It has recently been argued that extremal black holes can act as amplifiers of new physics, due to horizon instabilities that enhance the effects of ultraviolet corrections. In this paper, we revisit some of these claims and investigate the…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Francesco Di Filippo , Shinji Mukohyama , José M. M. Senovilla

We consider solutions in Einstein-Maxwell theory with a negative cosmological constant that asymptote to global $AdS_{4}$ with conformal boundary $S^{2}\times\mathbb{R}_{t}$. At the sphere at infinity we turn on a space-dependent…

High Energy Physics - Theory · Physics 2016-05-25 Miguel S. Costa , Lauren Greenspan , Miguel Oliveira , João Penedones , Jorge E. Santos
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