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We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides…

High Energy Physics - Theory · Physics 2017-11-22 Emil T. Akhmedov , Mahdi Godazgar

We prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive…

High Energy Physics - Theory · Physics 2019-01-25 Laura Donnay , Gaston Giribet , Hernán A. González , Miguel Pino

We investigate the asymptotic supersymmetry group of the near horizon region of the BMPV black holes, which are the rotating BPS black holes in five dimensions. When considering only bosonic fluctuations, we show that there exist consistent…

High Energy Physics - Theory · Physics 2012-09-03 Masayoshi Nakamura , Naoto Yokoi

We investigate asymptotic symmetries regularly defined on spherically symmetric Killing horizons in the Einstein theory with or without the cosmological constant. Those asymptotic symmetries are described by asymptotic Killing vectors,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jun-ichirou Koga

Recently it has been shown that there is asymptotic BMS-like symmetry associated with the near-horizon geometry of black holes in three and four dimensions. In this paper, we show that the presence of such BMS-like symmetry is a ubiquitous…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Changfu Shi , Jianwei Mei

We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black…

High Energy Physics - Theory · Physics 2020-10-28 Laura Donnay , Gaston Giribet , Julio Oliva

Near-horizon symmetries are studied for black hole solutions to Einstein equations containing supertranslation field constructed by Compere and Long. The metric is transformed to variables in which the horizon is located at the surface…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Mikhail Z. Iofa

We study the asymptotic symmetries of near-horizon extremal BTZ black holes in higher derivative theories of gravity, such as New Massive Gravity and Topological Massive Gravity. By employing a particular boundary condition and the…

High Energy Physics - Theory · Physics 2025-04-02 Debojyoti Ballav , Shailesh Kulkarni

Using the exact solution to Einstein equations of Compere and Long for the Schwarzschild metric containing supertranslation field, we study the near-horizon symmetries of the metric. We consider class of metrics with supertranslation field…

High Energy Physics - Theory · Physics 2019-04-03 Mikhail Z. Iofa

We consider accelerated black hole horizons with and without defects. These horizons appear in the $C$-metric solution to Einstein equations and in its generalization to the case where external fields are present. These solutions realize a…

High Energy Physics - Theory · Physics 2021-07-21 Anrés Anabalón , Sasha Brenner , Gaston Giribet , Luciano Montecchio

We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative corrections, following the recently proposed Kerr/CFT…

High Energy Physics - Theory · Physics 2009-11-19 Tatsuo Azeyanagi , Geoffrey Compère , Noriaki Ogawa , Yuji Tachikawa , Seiji Terashima

In the near-horizon region, black holes exhibit an infinite-dimensional symmetry reminiscent of the Bondi-Metzner-Sachs (BMS) supertranslations. The conserved charges associated with this symmetry can be computed in gravitational theories…

High Energy Physics - Theory · Physics 2025-06-30 Mariano Chernicoff , Gaston Giribet , Julio Oliva

We develop basic tools and matching conditions to interpolate between asymptotic and near horizon symmetries. We focus on black holes in three dimensions. In particular, we match Brown--Henneaux boundary conditions at infinity, which yields…

High Energy Physics - Theory · Physics 2020-04-22 D. Grumiller , M. M. Sheikh-Jabbari , C. Troessaert , R. Wutte

Asymptotic symmetries of black hole spacetimes have received much attention as a possible origin of the Bekenstein-Hawking entropy in black hole thermodynamics. In general, it takes hard efforts to find appropriate asymptotic conditions on…

General Relativity and Quantum Cosmology · Physics 2021-10-29 Takeshi Tomitsuka , Koji Yamaguchi , Masahiro Hotta

Symmetries are ubiquitous in modern physics. They not only allow for a more simplified description of physical systems but also, from a more fundamental perspective, can be seen as determining a theory itself. In the present paper, we…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Níckolas de Aguiar Alves , Andre G. S. Landulfo

We analyze asymptotic symmetries on the Killing horizon of the four-dimensional Kerr--Newman black hole. We first derive the asymptotic Killing vectors on the Killing horizon, which describe the asymptotic symmetries, and find that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jun-ichirou Koga

Relying on the definition of asymptotic conformal Killing horizons, the generators of asymptotic conformal symmetries at future null infinity in Schwarzschild space-time are considered. The algebra they close is an extended version of the…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Marco Refuto

When approaching extremality, rotating black holes tend to expel the magnetic field in which they are immersed. This phenomenon, being reminiscent of the Meissner-Ochsenfeld effect in superconductors, is known as the black hole Meissner…

High Energy Physics - Theory · Physics 2023-06-14 Gaston Giribet , Joan La Madrid , Luciano Montecchio , Emilio Rubín de Celis , Pedro Schmied

Near-horizon symmetries are studied for static black hole solutions to Einstein equations containing supertranslation field. We consider general diffeomorphisms which preserve the gauge and the near-horizon structure of the metric.…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Mikhail Z. Iofa

We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the Conformal Weyl Gravity formalism. We do this within an $AdS_2/CFT_1$ correspondence and by performing a…

High Energy Physics - Theory · Physics 2017-07-20 Leo Rodriguez , Shanshan Rodriguez
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