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From the microscopic point of view, realistic black holes are time-dependent and the teleological concept of event horizon fails. At present, the apparent or the trapping horizon seem its best replacements in various areas of black hole…

General Relativity and Quantum Cosmology · Physics 2013-09-20 Valerio Faraoni

The dynamics of particle, event, and apparent horizons in FLRW space are discussed. The apparent horizon is trapping when the Ricci curvature is positive. This simple criterion coincides with the condition for the Kodama-Hayward apparent…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Valerio Faraoni

Black holes in general relativity are characterized by their trapping horizon, a one-way membrane that can be crossed only inwards. The existence of trapping horizons in astrophysical black holes can be tested observationally using a…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Raúl Carballo-Rubio , Pawan Kumar , Wenbin Lu

This paper considers the nature of apparent horizons for astrophysical black hole situated in a realistic cosmological context. Using semi-tetrad covariant methods we study the local evolutions of the boundaries of the trapped region in the…

General Relativity and Quantum Cosmology · Physics 2014-11-14 George F R Ellis , Rituparno Goswami , Aymen I. M. Hamid , Sunil D. Maharaj

We investigate the generic behaviour of marginally trapped tubes (roughly time-evolved apparent horizons) using simple, spherically symmetric examples of dust and scalar field collapse/accretion onto pre-existing black holes. We find that…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth , Lionel Brits , Jose A. Gonzalez , Chris Van Den Broeck

In gravitational collapse leading to black hole formation, trapping horizons typically develop inside the contracting matter. Classically, an ingoing trapping horizon moves towards the centre where it reaches a curvature singularity, while…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Pierre Binétruy , Alexis Helou , Frédéric Lamy

The trapping (or apparent) horizon serves as a key tool for tracing the complete evolution of black holes. We investigate a class of coordinate singularities induced by such trapping (or apparent) horizons in a spherically symmetric,…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Jinbo Yang , Hongwei Tan , Hyat Huang , Wen-Cong Gan

We present numerical simulations of a Kerr black hole perturbed by a pulse of ingoing gravitational radiation. For strong perturbations we find up to five concentric marginally outer trapped surfaces. These trapped surfaces appear and…

General Relativity and Quantum Cosmology · Physics 2011-05-13 Tony Chu , Harald P. Pfeiffer , Michael I. Cohen

In calculations of gravitational collapse to form black holes, trapping horizons (foliated by marginally trapped surfaces) make their first appearance either within the collapsing matter or where it joins on to a vacuum exterior. Those…

General Relativity and Quantum Cosmology · Physics 2017-06-19 Alexis Helou , Ilia Musco , John C. Miller

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

We present a systematic study of the geometric structure of non-singular spacetimes describing black holes in Lorentz-violating gravity. We start with a review of the definition of trapping horizons, and the associated notions of trapped…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

Trapped regions bounded by horizons are the defining features of black holes. However, formation of a singularity-free apparent horizon in finite time of a distant observer is consistent only with special states of geometry and matter in…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Daniel R. Terno

This work deals with a detailed study of the dynamics of the apparent, event and particle horizons in the background of the inhomogeneous LTB spacetime. The comparative study among these horizons shows a distinct character for apparent…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Subenoy Chakraborty , Subhajit Saha

In this paper, we perform a detailed investigation on the various geometrical properties of trapped surfaces and the boundaries of trapped region in general relativity. This treatment extends earlier work on LRS II spacetimes to a general 4…

General Relativity and Quantum Cosmology · Physics 2018-05-16 Abbas Sherif , Rituparno Goswami , Sunil D Maharaj

For the study of $3+1$ dimensional Einstein vacuum equations (EVEs), substantial progress has been made recently on the problem of trapped surface formation. However, very limited knowledge of existence and associated properties is acquired…

General Relativity and Quantum Cosmology · Physics 2021-05-06 Xinliang An , Qing Han

The classic black hole mechanics and thermodynamics are formulated for stationary black holes with event horizons. Alternative theories of gravity of interest for cosmology contain a built-in time-dependent cosmological "constant" and black…

General Relativity and Quantum Cosmology · Physics 2018-10-12 Valerio Faraoni

We study the evolution of horizons of black holes in the $1+1+2$ covariant setting and investigate various properties intrinsic to the geometry of the foliation surfaces of these horizons. This is done by interpreting formulations of…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Abbas Sherif , Rituparno Goswami , Sunil Maharaj

We investigate quasilocal horizons in inhomogeneous cosmological models, specifically concentrating on the notion of a trapping horizon defined by Hayward as a hypersurface foliated by marginally trapped surfaces. We calculate and analyse…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Eliška Polášková , Otakar Svítek

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

We study the near-horizon spacetime for isolated and dynamical trapping horizons (equivalently marginally outer trapped tubes). The metric is expanded relative to an ingoing Gaussian null coordinate and the terms of that expansion are…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Ivan Booth
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