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The gravitational dual to the grand canonical ensemble of a large $N$ holographic theory is a charged black hole. These spacetimes -- for example Reissner-Nordstr\"om-AdS -- can have Cauchy horizons that render the classical gravitational…

High Energy Physics - Theory · Physics 2020-12-02 Sean A. Hartnoll , Gary T. Horowitz , Jorrit Kruthoff , Jorge E. Santos

We analyze the near-horizon symmetries of static, axisymmetric, four-dimensional black holes with spherical and toroidal horizon topologies in vacuum general relativity. These black hole solutions, collectively referred to as…

General Relativity and Quantum Cosmology · Physics 2025-09-23 M. M. Akbar , S. M. Modumudi

Static black holes contain regions of spacetime which not even light can escape from. In the centre of mass frame, these blocks are separated from each other by event horizons. Unlike pointlike particles, fields can spread and interact…

Analysis of PDEs · Mathematics 2024-12-03 Antti Kujanpää

Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

High Energy Physics - Theory · Physics 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

We obtain retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black holes of five-dimensional minimal gauged supergravity. The radial part of the (separable) massless…

High Energy Physics - Theory · Physics 2011-08-12 Tolga Birkandan , Mirjam Cvetič

We construct black holes with scalar hair in a wide class of four-dimensional N=2 Fayet-Iliopoulos gauged supergravity theories that are characterized by a prepotential containing one free parameter. Considering the truncated model in which…

High Energy Physics - Theory · Physics 2015-05-25 Federico Faedo , Dietmar Klemm , Masato Nozawa

An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einstein-nonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear $SU(2)$ field is regular everywhere and depends…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Marco Astorino , Fabrizio Canfora , Alex Giacomini , Marcello Ortaggio

We explicitly construct static black hole solutions to the fully non-linear, D=4, Einstein-Maxwell-AdS equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Carlos A. R. Herdeiro , Eugen Radu

One version of the Weak Gravity Conjecture requires that it should be possible for an extremal black hole to emit a smaller black hole: that is, the original black hole bifurcates. For asymptotically flat and asymptotically AdS…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Brett McInnes

We show that the emergent near-horizon conformal symmetry of extremal black holes gives rise to universal behavior in perturbing fields, both near and far from the black hole horizon. The scale-invariance of the near-horizon region entails…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Samuel E. Gralla , Peter Zimmerman

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 construct stationary non-equilibrium black funnels locally asymptotic to global AdS4 in vacuum Einstein-Hilbert gravity with negative cosmological constant. These are non-compactly-generated black holes in which a single connected bulk…

High Energy Physics - Theory · Physics 2013-03-07 Sebastian Fischetti , Donald Marolf , Jorge E. Santos

We numerically construct asymptotically extremal black holes through the nonlinear evolution of a charged scalar field. Our procedure -- which extends the work of Murata-Reall-Tanahashi to include charged scalar dynamics -- involves the…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Zachary Gelles , Frans Pretorius

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 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

Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS$_4$-Reissner-Nordstr\"om background fermions can violate the AdS$_2$ fermionic mass stability bound…

High Energy Physics - Theory · Physics 2020-05-20 Oscar J. C. Dias , Ramon Masachs , Olga Papadoulaki , Paul Rodgers

Static, charged black holes in the presence of a negative cosmological constant and with a planar horizon are found in four dimensions. The solutions have scalar secondary hair. We claim that these constitute the planar version of the…

High Energy Physics - Theory · Physics 2015-06-05 Yannis Bardoux , Marco M. Caldarelli , Christos Charmousis

We study the stability of extreme Reissner-Nordstr\"om-AdS black hole under massless scalar perturbations. We show that the perturbation on the horizon of the extreme Reissner-Nordstr\"om-AdS black hole experiences a power-law decay,…

High Energy Physics - Theory · Physics 2013-09-23 Shao-Jun Zhang , Qiyuan Pan , Bin Wang , Elcio Abdalla

Near the horizon of extremal charged black holes, an accidental symmetry is known to act on zero-temperature perturbations, transforming them into finite-temperature ones. In this paper, we uncover the corresponding accidental symmetry of…

High Energy Physics - Theory · Physics 2025-04-30 Avik Banerjee , Achilleas P. Porfyriadis , Grant N. Remmen

We consider the low temperature quantum theory of a charged black hole of zero temperature horizon radius $R_h$, in a spacetime which is asymptotically AdS$_{D}$ ($D > 3$) far from the horizon. At temperatures $T \ll 1/R_h$, the…

High Energy Physics - Theory · Physics 2019-05-21 Subir Sachdev