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Using methods of Quantum Field Theory in curved spacetime, the first order in hbar quantum corrections to the motion of a fluid in an acoustic black hole configuration are numerically computed. These corrections arise from the non linear…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Roberto Balbinot , Alessandro Fabbri , Serena Fagnocchi , Alessandro Nagar

We present black hole uniqueness theorems for the C-metric and Ernst solution. The proof follows a similar strategy as that used to prove the uniqueness of the Kerr-Newman solution, however the presence of an acceleration horizon provides…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Clive G. Wells

Motivated by a geometric understanding of the angular velocity of a Kerr black hole in terms of a quasi-conformal map that describes a 2d Beltrami fluid flow, a new way to construct initial data sets for binary rotating black holes by…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Shuanglin Huang , Xuefeng Feng , Yun-Kau Lau

Using a recursive solution of the Einstein equations, we consider the perturbative expansion of the metric corresponding to a Kerr black hole. Because the metric is a function of two parameters, Newton's constant G and the Kerr spin…

High Energy Physics - Theory · Physics 2026-05-20 Poul H. Damgaard , Hojin Lee , Kanghoon Lee , Tabasum Rahnuma

We show how the Weyl formalism allows metrics to be written down which correspond to arbitrary numbers of collinear accelerating neutral black holes in 3+1 dimensions. The black holes have arbitrary masses and different accelerations and…

General Relativity and Quantum Cosmology · Physics 2017-08-23 H. F. Dowker , S. N. Thambyahpillai

We numerically solve Einstein's equations coupled to a scalar field in the interior of Kerr black holes. We find shock waves form near the inner horizon. The shocks grow exponentially in amplitude and need not be axisymmetric. Observers who…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Paul M. Chesler , Erik Curiel , Ramesh Narayan

We discuss an approach to obtaining black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second order ordinary differential equations. We introduce the standard version of this method…

General Relativity and Quantum Cosmology · Physics 2012-05-08 H. T. Cho , A. S. Cornell , Jason Doukas , T. R. Huang , Wade Naylor

Analog physics allows simulating inaccessible objects, such as black holes, in the lab. We propose to implement an acoustic Kerr black hole with quantized angular momentum in a polariton Bose-Einstein condensate. We show that the metric of…

Quantum Gases · Physics 2019-07-03 D. D. Solnyshkov , C. Leblanc , S. V. Koniakhin , O. Bleu , G. Malpuech

We give explicit expressions for the finite frequency greybody factor, quasinormal modes and Love numbers of Kerr black holes by computing the exact connection coefficients of the radial and angular parts of the Teukolsky equation. This is…

High Energy Physics - Theory · Physics 2022-03-09 Giulio Bonelli , Cristoforo Iossa , Daniel Panea Lichtig , Alessandro Tanzini

In our program of studying numerically the so-called Bondi-Hoyle accretion in the fully relativistic regime, we present here first results concerning the evolution of matter accreting supersonically onto a rotating (Kerr) black hole. These…

Astrophysics · Physics 2009-10-31 Jose A. Font , Jose M. Ibanez , Philippos Papadopoulos

The increasing data set of precise observations of very energetic and collimated jets, with black hole (BH) as putative central engine, at different astrophysical scales and in various environments, should soon permit to discriminate and…

High Energy Astrophysical Phenomena · Physics 2010-12-01 C. Barbachoux , J. Gariel , G. Marcilhacy , N. O. Santos

Supersymmetric black holes are characterized by a large number of degenerate ground states. We argue that these black holes, like other quantum mechanical systems with such a degeneracy, are subject to a phenomenon which is called the…

High Energy Physics - Theory · Physics 2009-10-29 Jan de Boer , Kyriakos Papadodimas , Erik Verlinde

We construct an exact stationary solution of black hole -- bubble sequence in the five dimensional Kaluza-Klein theory by using solitonic solution generating techniques. The solution describes two boosted black holes with topology S^3 on a…

High Energy Physics - Theory · Physics 2014-11-18 Hideo Iguchi , Takashi Mishima , Shinya Tomizawa

Initial data corresponding to spacetimes containing black holes are considered in the time symmetric case. The solutions are obtained by matching across the apparent horizon different, conformally flat, spatial metrics. The exterior metric…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. Arbona , C. Bona , J. Carot , L. Mas , J. Masso , J. Stela

As with any black hole, asymptotically anti-de Sitter Kerr black holes are described by a small number of parameters, including a "mass parameter" $M$ that reduces to the AdS-Schwarzschild mass in the limit of vanishing angular momentum. In…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Brett McInnes , Yen Chin Ong

We analyse a rotating regular black hole with asymptotically Minkowski core. This Kerr-like geometry possesses the full "Killing tower" of nontrivial Killing tensor, Killing-Yano tensor, and principal tensor. The Hamilton-Jacobi equation,…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Alex Simpson , Matt Visser

In this paper, we explore the signatures of non-rotating and rotating black hole mergers in the matter-free modified gravity. First, we solve the unstable circular null orbits and the innermost stable circular timelike orbits via the…

General Relativity and Quantum Cosmology · Physics 2018-07-30 Shao-Wen Wei , Yu-Xiao Liu

The BKK theorem states that the mixed volume of the Newton polytopes of a system of polynomial equations upper bounds the number of isolated torus solutions of the system. Homotopy continuation solvers make use of this fact to pick…

Algebraic Geometry · Mathematics 2025-09-18 Christopher Borger , Thomas Kahle , Andreas Kretschmer , Sebastian Sager , Jonas Schulze

Attempts to find black hole microstates using the Hamiltonian phase space approach have been made on the Schwarzschild spacetime. Since the Schwarzschild spacetime is also in the larger family of the Kerr spacetimes, and both are…

General Relativity and Quantum Cosmology · Physics 2021-08-13 M. R. Setare , M. Koohgard

The head-on collision of two nonrotating axisymmetric equal mass black holes is treated numerically. We take as initial data the single parameter family of time-symmetric solutions discovered by Misner which consists of two Einstein-Rosen…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Peter Anninos , David Hobill , Edward Seidel , Larry Smarr , Wai-Mo Suen