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We study phase transitions between black holes with scalar hair and topological black holes in asymptotically anti-de Sitter spacetimes. As the ground state solutions, we introduce the non-rotating BTZ black hole in three dimensions and…

High Energy Physics - Theory · Physics 2008-11-26 Yun Soo Myung

It has recently been shown that a stationary, asymptotically flat vacuum black hole in five space-time dimensions with two commuting axial symmetries must have an event horizon with either a spherical, ring or lens-space topology. In this…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Yu Chen , Edward Teo

We study the thermodynamics and thermodynamic geometry of the (2+1) dimensional Banados-Teitelboim-Zanelli(BTZ) black hole within the framework of the non-extensive generalizations of Gibbs entropy. We investigate both the rotating (R-BTZ)…

High Energy Physics - Theory · Physics 2025-01-22 Amijit Bhattacharjee , Prabwal Phukon

It has long been known that, in higher-dimensional general relativity, there are black hole solutions with an arbitrarily large angular momentum for a fixed mass. We examine the geometry of the event horizon of such ultra-spinning black…

High Energy Physics - Theory · Physics 2011-05-05 Roberto Emparan , Robert C. Myers

We investigate the black holes in the new massive conformal gravity which is not invariant under conformal transformations because of the presence of the Einstein-Hilbert term. First, we show that the small Schwarzschild black hole is…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Yun Soo Myung , De-Cheng Zou

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

In the context of Born-Infeld gravity theories we report the existence of a regular black hole interior representing a spherically symmetric vacuum solution of the theory. It reduces to the Schwarzschild interior metric in the weak field…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Christian G. Boehmer , Franco Fiorini

A spherically symmetric black hole solution defined by the gravitational mass is explored in higher-order curvature gravity associated with a scalar field. It is demonstrated that the singularities of the curvature invariants will be far…

General Relativity and Quantum Cosmology · Physics 2025-09-04 G. G. L. Nashed , Usman Zafar , Kazuharu Bamba

In a companion paper [1], we have presented a cross-correlation approach to near-horizon physics in which bulk dynamics is probed through the correlation of quantities defined at inner and outer spacetime hypersurfaces acting as test…

General Relativity and Quantum Cosmology · Physics 2012-05-08 José Luis Jaramillo , Rodrigo P. Macedo , Philipp Moesta , Luciano Rezzolla

We find an exact nonstatic charged BTZ-like solutions, in ($N$+1)-dimensional Einstein gravity in the presence of negative cosmological constant and a nonlinear Maxwell field defined by a power $s$ of the Maxwell invariant, which describes…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Sushant G. Ghosh

Introducing the concept of the extreme trapping horizon, we discuss geometric features of dynamical extreme black holes in four dimensions and then derive the integral identities which hold for the dynamical extreme black holes. We address…

General Relativity and Quantum Cosmology · Physics 2013-08-16 Tetsuya Shiromizu , Sumio Yamada , Kentaro Tanabe

We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincar\'e coordinates together with a moving frame. The fuzzy BTZ black hole carries a covariant differential calculus, satisfies Einstein's equations and…

High Energy Physics - Theory · Physics 2023-01-04 Ilija Buric , Maja Buric

Hawking's theorem on the topology of black holes asserts that cross sections of the event horizon in 4-dimensional asymptotically flat stationary black hole spacetimes obeying the dominant energy condition are topologically 2-spheres. This…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Gregory J. Galloway , Richard Schoen

Inspired by the recent work on the spacetime structure near generic black hole horizons [1], the near horizon charges for an explicit example in higher dimensions than four (d > 4), namely for the five dimensional Myers-Perry metric with…

High Energy Physics - Theory · Physics 2021-03-18 Zahra Mirzaiyan

We first present an overview of the Schwarzschild vacuum spacetime within general relativity, with particular emphasis on the role of scalar polynomial invariants and the null frame approach (and the related Cartan invariants), that…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Alan A. Coley , Nicholas T. Layden , Diego F. Lopez

We study physical properties of constant curvature black holes (CCBHs) in Einstein anti-de Sitter (AdS) gravity. These objects, which are locally AdS throughout the space, are constructed from identifications of global AdS spacetime, in a…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Pablo Guilleminot , Rodrigo Olea , Alexander N. Petrov

We analytically investigate backreaction by a quantum scalar field on two rotating Ba\~nados-Teitelboim-Zanelli (BTZ) geometries: that of a black hole and that of a naked singularity. In the former case, we explore the quantum effects on…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Marc Casals , Alessandro Fabbri , Cristián Martínez , Jorge Zanelli

We investigate properties of the inner horizons of certain black holes in higher-derivative three-dimensional gravity theories. We focus on BTZ and Spacelike Warped Anti-de Sitter black holes, as well as on asymptotically Warped de-Sitter…

High Energy Physics - Theory · Physics 2015-06-04 Stéphane Detournay

This paper numerically studies if the stability of a stable black hole is robust against the small perturbation on geometry near its event horizon. As a toy model, it encodes the such perturbation into deformations of Regge-Wheeler…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Zhan-Feng Mai , Run-Qiu Yang

We examine whether we can make a black hole in Fisher information spacetime and what kind of quantum states produce the black hole solution in terms of the anti-de Sitter spacetime/conformal field theory correspondence. Here we focus on the…

High Energy Physics - Theory · Physics 2014-09-16 Hiroaki Matsueda
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