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We present an introduction to dynamical trapping horizons as quasi-local models for black hole horizons, from the perspective of an Initial Value Problem approach to the construction of generic black hole spacetimes. We focus on the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 José Luis Jaramillo

The traditional description of black holes in terms of event horizons is inadequate for many physical applications, especially when studying black holes in non-stationary spacetimes. In these cases, it is often more useful to use the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Badri Krishnan

This article introduces the subject of quasi-local horizons at a level suitable for physics graduate students who have taken a first course on general relativity. It reviews properties of trapped surfaces and trapped regions in some simple…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Badri Krishnan

Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon.…

High Energy Physics - Theory · Physics 2010-11-01 Sandip P. Trivedi

This is a review of current theory of black-hole dynamics, concentrating on the framework in terms of trapping horizons. Summaries are given of the history, the classical theory of black holes, the defining ideas of dynamical black holes,…

General Relativity and Quantum Cosmology · Physics 2009-02-28 Sean A. Hayward

We first show that the intrinsic, geometrical structure of a dynamical horizon is unique. A number of physically interesting constraints are then established on the location of trapped and marginally trapped surfaces in the vicinity of any…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Gregory J. Galloway

Any spacetime containing a degenerate Killing horizon, such as an extremal black hole, possesses a well-defined notion of a near-horizon geometry. We review such near-horizon geometry solutions in a variety of dimensions and theories in a…

High Energy Physics - Theory · Physics 2015-06-16 Hari K. Kunduri , James Lucietti

We examine the properties of nearly extremal black holes produced by gravitational collapse. It is shown that an observer who crosses the black hole horizon at late times rapidly encounters a singularity.

General Relativity and Quantum Cosmology · Physics 2015-05-28 David Garfinkle

We discuss some of the drawbacks of using event horizons to define black holes and suggest ways in which black holes can be described without event horizons, using trapping horizons. We show that these trapping horizons give rise to…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Alex B. Nielsen

We present the main features of the physics of extremal black holes embedded in supersymmetric theories of gravitation, with a detailed analysis of the attractor mechanism for BPS and non-BPS black-hole solutions in four dimensions.

High Energy Physics - Theory · Physics 2008-11-26 Laura Andrianopoli , Riccardo D'Auria , Sergio Ferrara , Mario Trigiante

Classical black holes and event horizons are highly non-local objects, defined in relation to the causal past of future null infinity. Alternative, quasilocal characterizations of black holes are often used in mathematical, quantum, and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth

This talk gives a brief introduction to black hole horizons and their role in black hole thermodynamics. In particular a distinction is made between quasi-locally defined horizons and event horizons. Currently some new techniques have led…

General Relativity and Quantum Cosmology · Physics 2007-11-05 Alex B. Nielsen

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

Geometrical properties of the extreme Kerr black holes in the topological sectors of nonextreme and extreme configurations are studied. We find that the Euler characteristic plays an essential role to distinguish these two kinds of extreme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bin Wang , Ru-Keng Su , P. K. N. Yu

We discuss some of the drawbacks of using event horizons to define black holes. The reasons are both practical, physical and theoretical. We argue that locally defined trapping horizons can remedy many of these drawbacks. We examine of the…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Alex B. Nielsen

We introduce the concept of a geometric horizon, which is a surface distinguished by the vanishing of certain curvature invariants which characterize its special algebraic character. We motivate its use for the detection of the event…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Alan Coley , David McNutt

A maximally rotating Kerr black hole is said to be extremal. In this paper we introduce the corresponding restrictions for isolated and dynamical horizons. These reduce to the standard notions for Kerr but in general do not require the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Booth , Stephen Fairhurst

Associated to every stationary extremal black hole is a unique near-horizon geometry, itself a solution of the field equations. These latter spacetimes are more tractable to analyze and most importantly, retain properties of the original…

High Energy Physics - Theory · Physics 2015-05-28 Hari K. Kunduri

Objects that are on the verge of being extremal black holes but actually are distinct in many ways are called quasi-black holes. Quasi-black holes are defined here and treated in a unified way through the displaying of their properties. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 José P. S. Lemos , Oleg B. Zaslavskii

We show that in presence of a cosmological constant or, more generally, of a scalar potential, there can exist actually more possibilities for the horizon geometry of a four-dimensional black hole than the hitherto known spherical,…

High Energy Physics - Theory · Physics 2014-04-23 Dietmar Klemm
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