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The prevalent opinion that infalling objects can freely cross a black hole horizon is based on the assumptions that the horizon region is governed by classical General Relativity and by specific singular coordinate transformations it is…

General Relativity and Quantum Cosmology · Physics 2019-11-19 Merab Gogberashvili

This paper treats boundary conditions on black hole horizons for the full 3+1D Einstein equations. Following a number of authors, the apparent horizon is employed as the inner boundary on a space slice. It is emphasized that a further…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Douglas M. Eardley

Near the horizon of extremal charged black holes, an accidental symmetry is known to act on zero-temperature perturbations, transforming them into finite-temperature ones. In this paper, we uncover the corresponding accidental symmetry of…

High Energy Physics - Theory · Physics 2025-04-30 Avik Banerjee , Achilleas P. Porfyriadis , Grant N. Remmen

We investigate the decay of a spherically symmetric near-extremal charged black hole, including back-reaction effects, in the near-horizon region. The non-locality of the effective action controlling this process allows and also forces us…

High Energy Physics - Theory · Physics 2009-11-07 A. Fabbri , D. J. Navarro , J. Navarro-Salas

The quantized area predicted by loop quantum gravity suggests the existence of a lower bound for black-hole horizons. We prove this intuition within a covariant effective model for spherical loop quantum gravity, where nonsingular…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Asier Alonso-Bardaji

Black holes hold a tremendous discovery potential. In this paper the extent to which the Event Horizon Telescope and its next generation upgrade can resolve their structure is quantified. Black holes are characterized by a perfectly…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Raúl Carballo-Rubio , Vitor Cardoso , Ziri Younsi

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

Black holes that have nearly evaporated are often thought of as small objects, due to their tiny exterior area. However, the horizon bounds large spacelike hypersurfaces. A compelling geometric perspective on the evolution of the interior…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Marios Christodoulou , Tommaso De Lorenzo

The motion of a particle near the RN black hole horizon is described by conformal mechanics. Models of this type have no ground state with vanishing energy. This problem was resolved in past by a redefinition of the Hamiltonian which breaks…

High Energy Physics - Theory · Physics 2007-05-23 Renata Kallosh

Einstein's equations imply that a gravitationally collapsed object forms an event horizon. But what lies on the other side of this horizon? In this paper, we question the reality of the conventional solution (the black hole), and point out…

High Energy Physics - Theory · Physics 2025-05-22 Kostas Tzanavaris , Latham Boyle , Neil Turok

This thesis addresses some classical and semi-classical aspects of black holes using an effective membrane representation of the event horizon. The classical "membrane paradigm" equations are derived from an underlying action formulation,…

High Energy Physics - Theory · Physics 2007-05-23 Maulik K. Parikh

If one assumes the validity of conventional quantum field theory in the vicinity of the horizon of a black hole, one does not find a quantum mechanical description of the entire black hole that even remotely resembles that of conventional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. 't Hooft

We describe some properties of the hyperbolically symmetric black hole (hereafter referred to as the $HSBH$) proposed a few years ago. We start by explaining the main motivation behind such an idea, and we determine the main differences…

General Relativity and Quantum Cosmology · Physics 2025-09-04 L. Herrera , L. Witten

We construct a large class of dynamical vacuum black hole spacetimes whose exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr metric. The construction proceeds by solving a backwards scattering problem for the…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski

We prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive…

High Energy Physics - Theory · Physics 2019-01-25 Laura Donnay , Gaston Giribet , Hernán A. González , Miguel Pino

We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides…

High Energy Physics - Theory · Physics 2017-11-22 Emil T. Akhmedov , Mahdi Godazgar

Classical energy conditions are investigated in generic static and spherically symmetric spacetimes. In setups with nonconstant $g_{tt} g_{rr}$, the appearance of horizons can signal the violation of the null energy condition and the…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Zi-Liang Wang , Emmanuele Battista

We present a canonical model of spherical gravity with covariant corrections motivated by loop quantum gravity. The effective Hamiltonian defines univocally a family of geometries that generalizes the Lema\^itre-Tolman-Bondi spacetimes, and…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Asier Alonso-Bardaji

Black holes are presumed to have an ideal ability to absorb and keep matter. Whatever comes close to the event horizon, a boundary separating the inside region of a black hole from the outside world, inevitably goes in and remains inside…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Yu. Kuchiev

Isolated horizons are a quasi-local framework, developed over the last 15 years by many authors, for modeling black holes `in equilibrium' that involves assumptions only about geometric structures intrinsic to the horizon. We review the…

General Relativity and Quantum Cosmology · Physics 2013-02-05 Jonathan Engle , Tomas Liko