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We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation between space-like geodesics in the bulk…

High Energy Physics - Theory · Physics 2009-11-11 Guido Festuccia , Hong Liu

The extremal Reissner-Nordstrom black hole embedded in a Melvin-like magnetic universe is studied in the framework of the Kerr/CFT correspondence. The near horizon geometry can be written as a warped and twisted product of $AdS_2 \times…

High Energy Physics - Theory · Physics 2015-10-21 Marco Astorino

In this short note we extend the work of 1401.3746 about gravity waves by a massive orbiting star in an extremal Kerr black hole to an extremal Kerr- Newman black hole for scalar radiation, and still find that it has a CFT interpretation…

High Energy Physics - Theory · Physics 2014-07-16 Nan Bai , Yi-Hong Gao , Xiao-bao Xu

For extremal black holes, one can construct simpler, limiting spacetimes that describe the geometry near degenerate horizons. Since these spacetimes are known to have enhanced symmetry, the limiting objects coincide for different solutions.…

General Relativity and Quantum Cosmology · Physics 2017-12-15 Filip Hejda , Jiří Bičák

The Laplace equation on Euclidean flat space admits a discrete radial inversion symmetry. In 1983, Couch and Torrence (CT) found -- surprisingly -- that the massless wave equation continues to display this symmetry on the background of an…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Panagiotis Charalambous , Laura Donnay , Alexandru Lupsasca

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

We study the thermodynamics of the near horizon of near extremal Kerr geometry (near-NHEK) within an AdS2/CFT1 correspondence. We do this by shifting the horizon by a general finite mass, which does not alter the geometry and the resulting…

High Energy Physics - Theory · Physics 2013-04-12 Ananda Guneratne , Leo Rodriguez , Sujeev Wickramasekara , Tuna Yildirim

Dynamics at large redshift near the horizon of an extreme Kerr black hole are governed by an infinite-dimensional conformal symmetry. This symmetry may be exploited to analytically, rather than numerically, compute a variety of potentially…

High Energy Physics - Theory · Physics 2015-06-02 Achilleas P. Porfyriadis , Andrew Strominger

Associated to every stationary extremal black hole is a unique near-horizon geometry, itself a solution of the field equations. These latter spacetimes are more tractable to analyze and most importantly, retain properties of the original…

High Energy Physics - Theory · Physics 2015-05-28 Hari K. Kunduri

It has been proposed that a hidden conformal field theory (CFT) governs the dynamics of low frequency scattering in a general Kerr black hole background. We further investigate this correspondence by mapping higher order corrections to the…

High Energy Physics - Theory · Physics 2011-08-08 David A. Lowe , Ilies Messamah , Antun Skanata

Quantum gravitational effects on the near horizon may alter the black hole's horizon drastically to be partially reflective, portrayed by a quantum membrane. With this modification, the object can be considered as an exotic compact object…

High Energy Physics - Theory · Physics 2022-02-11 Muhammad Fitrah Alfian Rangga Sakti , Agus Suroso , Anto Sulaksono , Freddy Permana Zen

We present a new geometrical approach to the study of accretion flows onto rotating (Kerr) black holes. Instead of Boyer-Lindquist coordinates, the standard choice in all existing numerical simulations in the literature, we employ the…

Astrophysics · Physics 2009-10-30 Jose A. Font , Jose M. Ibanez , Philippos Papadopoulos

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

We provide bounds on the first Betti number and structure results for the fundamental group of horizon cross-sections for extreme stationary vacuum black holes in arbitrary dimension, without additional symmetry hypotheses. This is achieved…

High Energy Physics - Theory · Physics 2021-01-26 Marcus Khuri , Eric Woolgar , William Wylie

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 prove uniqueness theorems for asymptotically flat, stationary, extremal, vacuum black hole solutions, in four and five dimensions with one and two commuting rotational Killing fields respectively. As in the non-extremal case, these…

High Energy Physics - Theory · Physics 2010-03-18 Pau Figueras , James Lucietti

Using a constrained formalism for Einstein equations in Dirac gauge, we propose to compute excised quasistationary initial data for black hole spacetimes in full general relativity. Vacuum spacetime settings are numerically constructed by…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Nicolas Vasset , Jérôme Novak , José Luis Jaramillo

Near-superradiant scattering of charged scalars and fermions by a near-extreme Kerr-Newman black hole and photons and gravitons by a near-extreme Kerr black hole are computed as certain Fourier transforms of correlators in a two-dimensional…

High Energy Physics - Theory · Physics 2010-04-08 Thomas Hartman , Wei Song , Andrew Strominger

Most extreme-mass-ratio-inspirals of small compact objects into supermassive black holes end with a fast plunge from an eccentric last stable orbit. For rapidly rotating black holes such fast plunges may be studied in the context of the…

High Energy Physics - Theory · Physics 2016-09-27 Shahar Hadar , Achilleas P. Porfyriadis , Andrew Strominger

It is demonstrated that the near-horizon geometry of two extreme Kerr black holes of equal mass, which are held a finite distance apart by a massless strut, introduced recently in [Phys. Rev. D 100 (2019) 044033], is a particular member of…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Anton Galajinsky
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