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We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The…

广义相对论与量子宇宙学 · 物理学 2020-06-24 Geoffrey Compère , Adrien Druart

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…

广义相对论与量子宇宙学 · 物理学 2019-04-02 Mikhail Z. Iofa

Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial…

高能物理 - 理论 · 物理学 2008-11-26 Fabrizio Canfora , Alex Giacomini , Ricardo Troncoso

We systematically investigate axisymmetric extremal isolated horizons (EIHs) defined by vanishing surface gravity, corresponding to zero temperature. In the first part, using the Newman-Penrose and GHP formalism we derive the most general…

广义相对论与量子宇宙学 · 物理学 2021-08-06 David Matejov , Jiri Podolsky

We construct the NHEG phase space, the classical phase space of Near-Horizon Extremal Geometries with fixed angular momenta and entropy, and with the largest symmetry algebra. We focus on vacuum solutions to $d$ dimensional Einstein…

高能物理 - 理论 · 物理学 2016-02-10 G. Compère , K. Hajian , A. Seraj , M. M. Sheikh-Jabbari

Toward the Kerr/CFT correspondence for generic non-extremal Kerr black hole, the analysis of scattering amplitudes by near extremal Kerr provides a clue. This pursuit reveals a hidden conformal symmetry in the law frequency wave equation…

高能物理 - 理论 · 物理学 2010-11-30 Yoshinori Matsuo , Takuya Tsukioka , Chul-Moon Yoo

Nonextreme black hole in a cavity can achieve the extreme state with a zero surface gravity at a finite temperature on a boundary, the proper distance between the boundary and the horizon being finite. The classical geometry in this state…

广义相对论与量子宇宙学 · 物理学 2014-11-17 O. B. Zaslavskii

Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. Ashtekar , J. Baez , K. Krasnov

We give circularly symmetric solutions for null fluid collapse in 2+1-dimensional Einstein gravity with a cosmological constant. The fluid pressure $P$ and energy density $\rho$ are related by $P=k\rho$ $(k\le 1)$. The long time limit of…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Viqar Husain

We explicitly construct all stationary, non-static, extremal near horizon geometries in $D$ dimensions that satisfy the vacuum Einstein equations, and that have $D-3$ commuting rotational symmetries. Our work generalizes [arXiv:0806.2051]…

广义相对论与量子宇宙学 · 物理学 2010-05-07 Stefan Hollands , Akihiro Ishibashi

The near-horizon limit of the extremal (weakly) isolated horizon is obtained under the Bondi-like coordinates. For the vacuum case, explicit coordinate transformation relating the near-horizon metric under the Bondi-like coordinates and the…

高能物理 - 理论 · 物理学 2009-09-02 Xiao-Ning Wu , Yu Tian

This paper investigates the interplay between the geometric and topological properties of spherically symmetric black hole metrics within Einstein gravity, emphasizing implications for Bose-Einstein Condensation (BEC). By analyzing metric…

综合物理 · 物理学 2024-10-10 Wen-Xiang Chen

Dirac equation is solved in the near horizon limit geometry of an extreme Kerr black hole. We decouple equations first as usual, into an axial and angular part. The axial equation turns out to be independent of the mass and is solved…

广义相对论与量子宇宙学 · 物理学 2009-11-10 I. Sakalli , M. Halilsoy

We prove that the only four dimensional, stationary, rotating, asymptotically flat (analytic) vacuum black hole with a single degenerate horizon is given by the extremal Kerr solution. We also prove a similar uniqueness theorem for the…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Aaron J. Amsel , Gary T. Horowitz , Donald Marolf , Matthew M. Roberts

We study the properties of black holes and naked singularities by considering stationary observers and light surfaces in Kerr spacetimes. We reconsider the notion of Killing horizons from a special perspective by exploring the entire family…

广义相对论与量子宇宙学 · 物理学 2019-03-27 D. Pugliese , H. Quevedo

It has been argued recently by Almheiri and Polchinski that the near-horizon conformal symmetry of extremal black holes must be broken due to gravitational backreaction at an IR scale linear in $G_N$. In this paper, we show that this scale…

高能物理 - 理论 · 物理学 2016-11-01 Ahmed Almheiri , Byungwoo Kang

Analytical solutions to force-free electrodynamics around black holes are fundamental for building simple models of accretion disk and jet dynamics. We present a (nonexhaustive) classification of complex highest-weight solutions to the…

高能物理 - 理论 · 物理学 2016-03-15 G. Compère , R. Oliveri

We use the general solution to the trace of the 4-dimensional Einstein equations for static, spherically symmetric configurations as a basis for finding a general class of black hole (BH) metrics, containing one arbitrary function $g_{tt} =…

广义相对论与量子宇宙学 · 物理学 2011-08-03 K. A. Bronnikov , H. Dehnen , V. N. Melnikov

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

广义相对论与量子宇宙学 · 物理学 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

We show that the near horizon geometry of 5-dimensional extreme (i.e., degenerate) stationary vacuum black holes, with or without cosmological constant, whose event horizons exhibit $\SU(2)$ symmetry must be that of a Berger sphere.

广义相对论与量子宇宙学 · 物理学 2024-09-12 Eric Bahuaud , Sharmila Gunasekaran , Hari K Kunduri , Eric Woolgar