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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

It is often stated in the physics literature that maximally-spinning Kerr black-hole spacetimes are characterized by near-horizon co-rotating circular geodesics of radius $r_{\text{circular}}$ with the property $r_{\text{circular}}\to…

广义相对论与量子宇宙学 · 物理学 2025-02-19 Shahar Hod

We derive all the axi-symmetric, vacuum and electrovac extremal isolated horizons. It turns out that for every horizon in this class, the induced metric tensor, the rotation 1-form potential and the pullback of the electromagnetic field…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Jerzy Lewandowski , Tomasz Pawlowski

We consider space-times which in addition to admitting an isolated horizon also admit Killing horizons with or without an event horizon. We show that an isolated horizon is a Killing horizon provided either (1) it admits a stationary…

广义相对论与量子宇宙学 · 物理学 2008-11-26 G. Date

Static black holes contain regions of spacetime which not even light can escape from. In the centre of mass frame, these blocks are separated from each other by event horizons. Unlike pointlike particles, fields can spread and interact…

偏微分方程分析 · 数学 2024-12-03 Antti Kujanpää

In 4-dimensional General Relativity, there are several theorems restricting the topology of the event horizon of a black hole. In the stationary case, black holes must have a spherical horizon, while a toroidal spatial topology is allowed…

广义相对论与量子宇宙学 · 物理学 2012-04-09 Cosimo Bambi , Leonardo Modesto

It has been shown that extremal Kerr black holes can be used as particle accelerators and arbitrarily high energy may be obtained near the event horizon. We study particle collisions near the event horizon (outer horizon) and Cauchy horizon…

广义相对论与量子宇宙学 · 物理学 2011-08-12 Sijie Gao , Changchun Zhong

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…

高能物理 - 理论 · 物理学 2011-05-05 Roberto Emparan , Robert C. Myers

Ever since its discovery by Roy Kerr in 1963, the geometry around rotating, electrostatically-neutral black holes, otherwise known as Kerr black holes, has significantly contributed to theoretical developments in the fields of general…

广义相对论与量子宇宙学 · 物理学 2024-05-01 Tongyu Zhang , Moe Vali

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

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

Using a unified approach we study the entropy of extremal black holes through the entropy of an electrically charged thin shell. We encounter three cases in which a shell can be taken to its own gravitational or horizon radius and become an…

高能物理 - 理论 · 物理学 2016-05-04 José P. S. Lemos , Gonçalo M. Quinta , Oleg B. Zaslavskii

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

广义相对论与量子宇宙学 · 物理学 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer

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

Analyzing exact solutions of the Einstein-Maxwell equations in the Kerr-Schild formalism we show that black hole horizon is instable with respect to electromagnetic excitations. Contrary to perturbative smooth harmonic solutions, the exact…

广义相对论与量子宇宙学 · 物理学 2010-03-18 Alexander Burinskii

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

While extreme black hole spacetimes with smooth horizons are known at the level of mathematics, we argue that the horizons of physical extreme black holes are effectively singular. Test particles encounter a singularity the moment they…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Donald Marolf

Given a stationary axisymmetric black hole horizon admitting a section characterised as a strictly future stable marginally outer trapped surface, we extend the equivalence between the notions of horizon degeneracy and marginal stability to…

广义相对论与量子宇宙学 · 物理学 2012-08-28 José Luis Jaramillo

Boundary conditions defining a non-rotating isolated horizon are given in Einstein-Maxwell theory. A spacetime representing a black hole which itself is in equilibrium but whose exterior contains radiation admits such a horizon. Inspired by…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Christopher Beetle , Stephen Fairhurst

It has been shown that ultraenergetic collisions can occur near the horizon of an extremal Kerr black hole. Previous studies mainly focused on geodesic motions of particles. In this paper, we consider spinning test particles whose orbits…

广义相对论与量子宇宙学 · 物理学 2016-05-04 Minyong Guo , Sijie Gao