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This paper is a sequel of "Solvable symmetric black hole in anti de Sitter spaces" [arXiv:math.DG/0510442]. In the latter, we described the BTZ black hole in every dimension by defining the singularity as the closed orbits of the Iwasawa…

Differential Geometry · Mathematics 2009-12-14 Laurent Claessens

Penrose's singularity theorem implies that if a trapped region forms in a gravitational collapse, then a singularity must form as well within such region. However, it is widely expected that singularities should be generically avoided by…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

Following Bekenstein's suggestion that the horizon area of a black hole should be quantized, the discrete spectrum of the horizon area has been investigated in various ways. By considering the quasinormal mode of a black hole, we obtain the…

High Energy Physics - Theory · Physics 2015-05-18 Yongjoon Kwon , Soonkeon Nam

The particle dynamics and the electric Penrose process for the five-dimensional weakly charged Schwarzschild black hole are studied. Firstly, the horizon structure and the effective potential for the test particle are explored. The radial…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Tursunali Xamidov , Mirzabek Alloqulov , Sanjar Shaymatov

For a large enough Schwarzschild black hole, the horizon is a region of space where gravitational forces are weak; yet it is also a region leading to numerous puzzles connected to stringy physics. In this work, we analyze the process of…

High Energy Physics - Theory · Physics 2008-11-26 Anand Murugan , Vatche Sahakian

We study separatively the quasinormal modes (QNM) of electromagnetic perturbations around three-dimensional anti-de Sitter(AdS) black holes in Jordan and Einstein frames, which are related by the conformal transformations and a redefinition…

High Energy Physics - Theory · Physics 2017-01-10 De-Cheng Zou , Yunqi Liu , Cheng-Yong Zhang , Bin Wang

Quantum gravity is effective in domains where both quantum effects and gravity are essential, such as in the vicinity of space-time singularities. This paper will investigate the quantization of a black-hole gravity, particularly the region…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Carla Rodrigues Almeida , Denis Campos Rodrigues

Black holes exactly incorporating quantum matter backreaction effects, namely, quantum black holes, are notoriously difficult to construct, let alone study their horizon thermodynamics. Here, we derive the thermodynamics of…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Yuanfan Cao , Andrew Svesko

We investigate the quantum dynamics of a charged scalar field in the near-horizon region of a near-extremal charged BTZ black hole. A controlled expansion of the Einstein-Maxwell equations reveals an emergent warped AdS$_2 \times S^1$…

High Energy Physics - Theory · Physics 2025-05-26 Mendrit Latifi , Kimet Jusufi

The Hawking-Penrose singularity theorem states that a singularity forms inside a black hole in general relativity. To remove this singularity one must resort to a more fundamental theory. Using a corrected dynamical equation arising in loop…

General Relativity and Quantum Cosmology · Physics 2018-01-15 Changjun Gao , Youjun Lu , You-Gen Shen , Valerio Faraoni

Hawking radiation emanating from two-dimensional charged and uncharged dilatonic black holes - dimensionally reduced from (2+1) spinning and spinless, respectively, BTZ black holes - is viewed as a tunnelling process. Two dimensional…

High Energy Physics - Theory · Physics 2016-09-06 Elias C. Vagenas

When the boundary dynamics of \(AdS_3\) gravity is governed by the collective field theory Hamiltonian proposed by Jevicki and Sakita, its asymptotic symmetry algebra becomes the centerless \(U(1)\) Kac-Moody algebra. We quantize this…

High Energy Physics - Theory · Physics 2025-03-21 Suvankar Dutta , Shruti Menon , Aayush Srivastav

We study the inner horizons of rotating and charged black holes in anti-de Sitter space. These black holes have a classical analytic extension through the inner horizon to additional asymptotic regions. If this extension survives in the…

High Energy Physics - Theory · Physics 2020-07-15 Vijay Balasubramanian , Arjun Kar , Gábor Sárosi

The one-loop quantum corrections to the free energy associated with scalar field in a higher dimensional static curved space-time is investigated making use of the conformal transformation method. For a space-time with bifurcate horizon,…

High Energy Physics - Theory · Physics 2009-10-31 Andrei A. Bytsenko , Luciano Vanzo , Sergio Zerbini

We investigate the connection between the BTZ black holes and the near-horizon geometry of higher-dimensional black holes. Under mild conditions, we show that (i) if a black hole has a global structure of the type of the non-extremal…

High Energy Physics - Theory · Physics 2016-08-25 Yuji Satoh

The quantum mechanics of N slowly-moving charged BPS black holes in five-dimensional ${\cal N}=1$ supergravity is considered. The moduli space metric of the N black holes is derived and shown to admit 4 supersymmetries. A near-horizon limit…

High Energy Physics - Theory · Physics 2009-10-31 Jeremy Michelson , Andrew Strominger

We take the view that the area of a black hole's event horizon is quantized, $A = l_P^2 \, (4 \ln 2) \, N$, and the associated degrees of freedom are finite in number and of fermionic nature. We then investigate general aspects of the…

General Physics · Physics 2022-10-26 Paolo Castorina , Alfredo Iorio , Luca Smaldone

We analyze the analytic structure of correlators in the field theory dual to the quantum Ba\~{n}ados-Teitelboim-Zanelli (qBTZ) black hole, a braneworld model incorporating exact backreaction from quantum conformal matter. We first compute…

High Energy Physics - Theory · Physics 2025-03-18 Casey Cartwright , Umut Gürsoy , Juan F. Pedraza , Guim Planella Planas

This paper considers the quantum collapse of infinitesimally thin dust shells in 2+1 gravity. In 2+1 gravity a shell is no longer a sphere but a ring of matter. The classical equation of motion has been considered by Peleg and Steif and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Ortíz , M. P. Ryan

The (holomorphic) partition function of the Euclidean BTZ black hole with boundary modulus $\tau$, is the $S$-image of the Virasoro vacuum character, $\chi_{\rm vac}(-1/\tau)$. This object decomposes into primaries via the modular…

High Energy Physics - Theory · Physics 2026-01-27 Chethan Krishnan , Pradipta S. Pathak
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