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We study the hidden conformal symmetry of the extremal black holes. We introduce a new set of conformal coordinates to write the $SL(2,R)$ generators. We find that the Laplacian of the scalar field in many extremal black holes could be…

高能物理 - 理论 · 物理学 2010-12-09 Bin Chen , Jiang Long , Jia-ju Zhang

We consider the general construction of near-horizon limit for extremal black hole solutions with non-trivial torsion, and derive the covariant geometric conditions for the existence this limit. A near-horizon solution with torsion is…

广义相对论与量子宇宙学 · 物理学 2025-11-20 B. Cvetković , D. Rakonjac

We present a new vacuum solution of Einstein's equations describing the near horizon region of two neutral, extreme (zero-temperature), co-rotating, non-identical Kerr black holes. The metric is stationary, asymptotically near horizon…

高能物理 - 理论 · 物理学 2019-08-21 Jacob Ciafre , Shahar Hadar , Erin Rickenbach , Maria J. Rodriguez

We present a new exact black hole solution in three dimensional Einstein gravity coupled to a single scalar field. This is one of the extended solutions of the BTZ black hole and has in fact $\textrm{AdS}_3$ geometries both at the spatial…

高能物理 - 理论 · 物理学 2009-02-12 K. Hotta , Y. Hyakutake , T. Kubota , T. Nishinaka , H. Tanida

Usual gauge fixing procedures in classical general relativity rely on the existence of solutions of a second order wave equation. We propose to use the equation to relate asymptotic symmetries at infinity to asymptotic symmetries of a black…

高能物理 - 理论 · 物理学 2017-04-19 Bruno Carneiro da Cunha , Filipe Rudrigues

The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative ${\rm AdS}^2_{\theta}/{\rm CFT_1}$ duality where ${\rm CFT}_1$ is identified as conformal quantum mechanics. This…

高能物理 - 理论 · 物理学 2022-11-02 Badis Ydri

Solution generating techniques for general relativity with a conformally (and minimally) coupled scalar field are pushed forward to build a wide class of asymptotically flat, axisymmetric and stationary spacetimes continuously connected to…

广义相对论与量子宇宙学 · 物理学 2015-03-31 Marco Astorino

We study some geometric properties of Killing horizons in 4-dimensional stationary and axisymmetric space-times with electromagnetic field and cosmological constant. Using a $(1+1+2)$ space-time split, we construct relations between the…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Andrey A. Shoom

We consider the metric of a generic axially symmetric rotating stationary black hole. The general approach is developed that enables us to construct coordinate frame regular near the horizon. As explicit examples, the Kerr and…

广义相对论与量子宇宙学 · 物理学 2018-09-19 O. B. Zaslavskii

It is recently conjectured that generic non-extremal Kerr black hole could be holographically dual to a hidden conformal field theory in two dimensions. Moreover, it is known that there are two CFT duals (pictures) to describe the charged…

高能物理 - 理论 · 物理学 2015-06-05 A. M. Ghezelbash , H. M. Siahaan

In this paper we show that the entropy of cosmological horizon in 4-dimensional Topological Kerr-Newman-de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in…

高能物理 - 理论 · 物理学 2009-11-10 M. R. Setare , M. B. Altaie

The near-horizon geometry of the extremal four-dimensional Kerr black hole and certain generalizations thereof has an SL(2,R) x U(1) isometry group. Excitations around this geometry can be controlled by imposing appropriate boundary…

高能物理 - 理论 · 物理学 2011-06-24 Jorgen Rasmussen

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

广义相对论与量子宇宙学 · 物理学 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

The area law of Bekenstein-Hawking entropy of the black hole suggests that the black hole should have a lower-dimensional holographic description. It has been found recently that a large class of rotating and charged black holes could be…

广义相对论与量子宇宙学 · 物理学 2015-04-29 Bin Chen , Jia-ju Zhang

Extreme and very-near-extreme spin J Kerr black holes have been conjectured to be holographically dual to two-dimensional (2D) conformal field theories (CFTs) with left and right central charges c_L=c_R=12J. In this paper it is observed…

高能物理 - 理论 · 物理学 2014-11-20 Alejandra Castro , Alexander Maloney , Andrew Strominger

The arena normally used in black holes thermodynamics was recently generalized to incorporate a broad class of physically interesting situations. The key idea is to replace the notion of stationary event horizons by that of `isolated…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Abhay Ashtekar

We derive an exact radiating Kerr-Newman like black hole solution, with constant curvature $R=R_0$ imposed, to {\it metric} $f(R)$ gravity via complex transformations suggested by Newman-Janis. This generates a geometry which is precisely…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Sushant G. Ghosh , Sunil D. Maharaj , Uma Papnoi

We discuss universal properties of axisymmetric and stationary configurations consisting of a central black hole and surrounding matter in Einstein-Maxwell theory. In particular, we find that certain physical equations and inequalities…

广义相对论与量子宇宙学 · 物理学 2011-04-28 Marcus Ansorg , Jörg Hennig , Carla Cederbaum

We give a thorough description of the shape of rotating axisymmetric stable black-hole (apparent) horizons applicable in dynamical or stationary regimes. It is found that rotation manifests in the widening of their central regions…

广义相对论与量子宇宙学 · 物理学 2013-11-21 Martin Reiris , Maria Eugenia Gabach Clement

The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformal particle associated with such a maximally…

高能物理 - 理论 · 物理学 2013-05-30 Anton Galajinsky