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We analyze the asymptotic symmetry of higher spin gravity with $M \times M$ matrix valued fields, which is given by rectangular W-algebras with su$(M)$ symmetry. The matrix valued extension is expected to be useful for the relation between…

High Energy Physics - Theory · Physics 2019-03-27 Thomas Creutzig , Yasuaki Hikida

The late-time behavior of a scalar field on fixed Kerr background is examined in a numerical framework incorporating the techniques of conformal compactification and hyperbolic initial value formulation. The applied code is 1+(1+2) as it is…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Istvan Racz , Gabor Zsolt Toth

Context. The Event Horizon Telescope (EHT) collaboration recently obtained first images of the surroundings of the supermassive compact object M87* at the center of the galaxy M87. Aims. We want to develop a simple analytic disk model for…

General Relativity and Quantum Cosmology · Physics 2021-02-03 F. H. Vincent , M. Wielgus , M. A. Abramowicz , E. Gourgoulhon , J. -P. Lasota , T. Paumard , G. Perrin

The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

Using the recently derived higher spin gravitational Compton amplitude from low-energy analytically continued ($a/Gm\gg1$) solutions of the Teukolsky equation for the scattering of a gravitational wave off the Kerr black hole, observables…

High Energy Physics - Theory · Physics 2023-09-28 Yilber Fabian Bautista

Following previous work of ours in spherical symmetry, we here propose a new parametric framework to describe the spacetime of axisymmetric black holes in generic metric theories of gravity. In this case, the metric components are functions…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Roman Konoplya , Luciano Rezzolla , Alexander Zhidenko

The Kerr/CFT correspondence provides a holographic description of spinning black holes that exist in our universe, and the notion of hidden conformal symmetry allows for a formulation of this correspondence away from extremality. In this…

High Energy Physics - Theory · Physics 2021-12-30 Valentina Giangreco M. Puletti , Victoria L. Martin

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner…

High Energy Physics - Theory · Physics 2017-01-30 Eric Bergshoeff , Daniel Grumiller , Stefan Prohazka , Jan Rosseel

We succeed to find compact analytical expressions which allow to easily extract the black hole spin from observations of its shadow, without need to construct or model the entire curve of the shadow. The deformation of Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2017-06-07 O. Yu. Tsupko

We present a family of analytic solutions for the nearly-equatorial motion of a test particle with precessing spin in Kerr spacetime. We solve the equations of motion up to linear order in the small body's spin for periodic and homoclinic…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Gabriel Andres Piovano

A heuristic method to find asymptotic solutions to a system of non-linear wave equations near null infinity is proposed. The non-linearities in this model, dubbed good-bad-ugly, are known to mimic the ones present in the Einstein field…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Miguel Duarte , Justin Feng , Edgar Gasperin , David Hilditch

We analyze the spectrum of massive scalar bound states in the background of extremal Kerr black holes, focusing on modes in the superradiant regime, which grow exponentially in time and quickly deplete the black hole's mass and spin.…

High Energy Physics - Theory · Physics 2014-11-20 J. G. Rosa

Massless fields propagating in a generic Kerr black hole background enjoy a hidden SL(2,R)xSL(2,R) symmetry. We determine how the exact mode functions decompose into representations of this symmetry group. This extends earlier results on…

High Energy Physics - Theory · Physics 2014-03-12 David A. Lowe , Ilies Messamah , Antun Skanata

It is now widely accepted that the universe as we understand it is accelerating in expansion and fits the de Sitter model rather well. As such, a realistic assumption of black holes must place them on a de Sitter background and not…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Sarp Akcay , Richard Matzner

We show that scalar, electromagnetic, and gravitational perturbations of extremal Kerr black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetry of the background metric. This accounts for the Aretakis…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Samuel E. Gralla , Peter Zimmerman

There is robust observational evidence supporting the existence of $5 - 20$ $M_\odot$ compact bodies in X-ray binary systems and of $10^5 - 10^9$ $M_\odot$ bodies at the center of many galaxies. All these objects are commonly interpreted as…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Cosimo Bambi

This paper presents an investigation into the high-order asymptotic expansion for 2D and 3D cubic nonlinear Klein-Gordon equations in the non-relativistic limit regime. There are extensive numerical and analytic results concerning that the…

Analysis of PDEs · Mathematics 2024-11-21 Jia Shen , Yanni Wang , Haohao Zheng

We show that the so-called flat-space rotational Killing vector method for measuring the Cartesian components of a black hole spin can be derived from the surface integral of Weinberg's pseudotensor over the apparent horizon surface when…

General Relativity and Quantum Cosmology · Physics 2016-07-26 Vassilios Mewes , José A. Font , Pedro J. Montero

We investigate higher derivative corrections to the extremal Kerr black hole in the context of heterotic string theory with $\alpha'$ corrections and of a cubic-curvature extension of general relativity. By analyzing the near-horizon…

High Energy Physics - Theory · Physics 2023-06-14 Pablo A. Cano , Marina David

Gauss-Bonnet gravity provides one of the most promising frameworks to study curvature corrections to the Einstein action in supersymmetric string theories, while avoiding ghosts and keeping second order field equations. Although…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Alexeyev , N. Popov , M. Startseva , A. Barrau , J. Grain
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