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Hawking's local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event horizon of any stationary non-extremal black hole is a non-degenerate Killing horizon. In this paper, we prove that the full…

Differential Geometry · Mathematics 2024-09-20 Klaus Kroencke , Oliver Petersen

The impressive images from the Event Horizon Telescope sharpen the conflict between our observations of gravitational phenomena and the principles of quantum mechanics. Two related scenarios for reconciling quantum mechanics with the…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Steven B. Giddings

By manipulating the integral expression for the proper radius $R_e$ of the cosmological event horizon (CEH) in a Friedmann-Robertson-Walker (FRW) universe, we obtain an analytical expression for the change $\dd R_e$ in response to a uniform…

General Physics · Physics 2015-05-20 Scott Funkhouser

We define different notions of black holes, event horizons and Killing horizons for a general time-oriented manifold $(M,g)$ extending previous notions but without the assumption of asymptotical flatness. The notions of 'horizon' are always…

Mathematical Physics · Physics 2015-08-14 Olaf Müller

We investigate various dark energy models by taking into account the thermal effects induced from Hawking radiation on the apparent horizon of the Universe, for example near a finite-time future singularity. If the dark energy density…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Artyom V. Astashenok , Sergei D. Odintsov , Vasilis K. Oikonomou

Considered is spherical shell as a model for visible universe and parameters that such model must have to comply with the observable data. The topology of the model requires that motion of all galaxies and light must be confined inside a…

General Physics · Physics 2017-08-23 Branislav Vlahovic

We study the evolution of cosmological event horizons in anisotropic Kasner universes in the presence of a positive cosmological constant by analyzing null geodesics. At later times, the asymptotic form of cosmological horizons is the same…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Hyeong-Chan Kim

Black holes encountered in general relativity are characterized by spacetime singularities hidden within an event horizon. These singularities provide a key motivation to go beyond general relativity and look for regular black holes where…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Frank Saueressig

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

The presence and evolution of apparent horizons in a two-parameter family of spherically symmetric, time-dependent solutions of Brans-Dicke gravity are analyzed. These solutions were introduced to model space- and time-varying gravitational…

General Relativity and Quantum Cosmology · Physics 2012-09-27 Valerio Faraoni , Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this…

High Energy Physics - Theory · Physics 2023-02-15 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

The Embedded Horizon is defined to be a horizon that is in equilibrium with the exterior of the black hole, that is, isolated on the outside, but dynamically evolving on the inside, analogous to the inner and outer event horizons of the…

General Relativity and Quantum Cosmology · Physics 2019-11-15 Anushka Durg , Aryan Bethmangalkar

We consider ever-expanding Big Bang models with a cosmological constant, $\Lambda$, and investigate in detail the evolution of the observable part of the universe. We also discuss quintessence models from the same point of view. A new…

Astrophysics · Physics 2009-11-06 Einar H. Gudmundsson , Gunnlaugur Bjornsson

Almheiri, Marolf, Polchinski, and Sully, recently claimed that once a black hole has radiated more than half its initial entropy (the Page time), the horizon is replaced by a "firewall" at which infalling observers burn up, in apparent…

High Energy Physics - Theory · Physics 2012-08-17 Leonard Susskind

A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Abhay Ashtekar , Badri Krishnan

We prove the existence of general relativistic perfect fluid black hole solutions, and demonstrate the phenomenon for the $P=w\rho$ class of equations of state. While admitting a local time-like Killing vector on the event horizon itself,…

General Relativity and Quantum Cosmology · Physics 2012-11-28 Aharon Davidson , Shimon Rubin , Yosef Verbin

The crease set of an event horizon is studied in a spacetime with discrete or continuous symmetry. It determines possible topologies on spatial sections of an event horizon. We thereby investigate the classification of stable topological…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Masaru Siino

A lot of confusion surrounds the issue of black hole complementarity, because the question has been considered without discussing the mechanism which guarantees unitarity. Considering such a mechanism leads to the following: (1) The Hawking…

High Energy Physics - Theory · Physics 2014-05-29 Samir D. Mathur , David Turton

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

A major issue in general relativity and blackhole physics today is to determine the conditions when the spacetime singularities forming as end-states of gravitational collapse are visible to external observers, and when these are hidden…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Koushiki , Pankaj S. Joshi
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