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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

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

The event horizon of a black hole is arguably the most dramatic manifestation of the fact that in General Relativity, causal structure is dynamical and spacetimes can be separated into distinct regions by causal boundaries. Causal set…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Astrid Eichhorn , Pedro Gamito , Nawder Stokes

We discuss the validity of the Thakurta metric to describe cosmological black holes by analysing the nature of its horizon. By adopting the preferred foliation of the Thakurta spacetime associated with the Kodama time, we demonstrate that…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Archil Kobakhidze , Zachary S. C. Picker

A naive introduction of a dependency of the mass of a black hole on the Schwarzschild time coordinate results in singular behavior of curvature invariants at the horizon, violating expectations from complementarity. If instead a temporal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James Lindesay

Non-continuous "jumps" of Apparent Horizons occur generically in 3+1 (binary) black hole evolutions. The dynamical trapping horizon framework suggests a spacetime picture in which these "Apparent Horizon jumps" are understood as spatial…

General Relativity and Quantum Cosmology · Physics 2011-04-05 José Luis Jaramillo , Marcus Ansorg , Nicolas Vasset

This thesis explores two avenues into understanding the physics of black holes and horizons beyond general relativity, via analogue models and Lorentz violating theories. Analogue spacetimes have wildly different dynamics to general…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Bethan Cropp

We simulate the gravitational dynamics of the conifold geometries (resolved and deformed) involved in the description of certain compact spacetimes. As the cycles of the conifold collapse towards a singular geometry we find that a horizon…

High Energy Physics - Theory · Physics 2011-06-02 Neil A. Butcher , Paul M. Saffin

When black holes are dynamical, event horizons are replaced by apparent and trapping horizons. Conformal and Kerr-Schild transformations are widely used in relation with dynamical black holes and we study the behaviour under such…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Valerio Faraoni , Vincenzo Vitagliano

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

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 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 understanding of strong-field dynamics near black-hole horizons is a long-standing and challenging prob- lem in general relativity. Recent advances in numerical relativity and in the geometric characterization of black- hole horizons…

General Relativity and Quantum Cosmology · Physics 2012-05-08 José Luis Jaramillo , Rodrigo P. Macedo , Philipp Moesta , Luciano Rezzolla

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 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

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

Dynamical, non-asymptotically flat black holes are best characterized by their apparent horizons. Cosmological black hole solutions of General Relativity exhibit two types of apparent horizon behaviours which, thus far, appeared to be…

General Relativity and Quantum Cosmology · Physics 2015-11-25 Valerio Faraoni , Angus Prain

Understood in terms of pure states evolving into mixed states, the possibility of information loss in black holes is closely related to the global causal structure of spacetime, as is the existence of event horizons. However, black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-30 Alex B. Nielsen , Dong-han Yeom

Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's…

General Relativity and Quantum Cosmology · Physics 2014-03-06 Ovidiu Cristinel Stoica

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