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The behavior of black hole horizons under extreme conditions-such as near collapse or phase transitions-remains less understood, particularly in the context of soft hair and Aretakis instabilities. We show that the breakdown of conformal…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Pradosh Keshav MV , Arun Kenath

We emphasized the importance of underlying noncommutative geometry or Lorenz-covariant quantized space-time towards ultimate theory of quantum gravity and Planck scale physics. We focused there our attention on the statistical and…

High Energy Physics - Theory · Physics 2017-01-18 Sho Tanaka

Since black holes can be formed through widely varying processes, the horizon structure is highly complicated in the dynamical phase. Nonetheless, as numerical simulations show, the final state appears to be universal, well described by the…

General Relativity and Quantum Cosmology · Physics 2013-09-30 Abhay Ashtekar , Miguel Campiglia , Samir Shah

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel

To what extent are all astrophysical, dark, compact objects both black holes (BHs) and described by the Kerr geometry? We embark on the exercise of defying the universality of this remarkable idea, often called the "Kerr hypothesis". After…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Carlos A. R. Herdeiro

By a simple modification of Hawking's well-known topology theorems for black hole horizons, we find lower bounds for the areas of smooth apparent horizons and smooth cross-sections of stationary black hole event horizons of genus $g>1$ in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Woolgar

Modeling the event horizon of a black hole by a fuzzy sphere it is shown that in the classical limit, for large astrophysical black-holes, the event horizon looks locally like a non-commutative plane with non-commutative parameter dictated…

High Energy Physics - Theory · Physics 2008-11-26 Brian P. Dolan

Recently, it has been shown that a quantum system held in spatial superposition and then eventually recombined does experience decoherence from black hole horizons, at a level increasing linearly with the time the superposition has been…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Max Joseph Fahn , Alessandro Pesci

We adapt the horizon wave-function formalism to describe massive static spherically symmetric sources in a general $(1+D)$-dimensional space-time, for $D>3$ and including the $D=1$ case. We find that the probability $P_{\rm BH}$ that such…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Roberto Casadio , Rogerio T. Cavalcanti , Andrea Giugno , Jonas Mureika

We study the statistical mechanics for quantum scalar fields under the multi-parameter rotating black hole spacetime in arbitrary D dimensions. The method of analysis is general in the sense that the metric does not depend on the explicit…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Masakatsu Kenmoku , Yuki Kobayashi

Quantum mechanics for matter fields moving in an evaporating black hole spacetime is formulated in fully four-dimensional form according to the principles of generalized quantum theory. The resulting quantum theory cannot be expressed in a…

General Relativity and Quantum Cosmology · Physics 2008-02-03 James B. Hartle

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 theoretical properties of the black holes (BHs) and of the universe were derived from a unified relativistic theory based on a generalization of local relativity for nonlocal cases in gravitational fields and a quantized standing wave…

Astrophysics · Physics 2008-02-03 Rafael A. Vera

The general parametrization of a black-hole spacetime in arbitrary metric theories of gravity includes an infinite set of parameters. It is natural to suppose that essential astrophysically observable quantities, such as quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2020-06-04 R. A. Konoplya , A. Zhidenko

Static vacuum spacetimes with one compact dimension include black holes with localised horizons but also uniform and non-uniform black strings where the horizon wraps over the compact dimension. We present new numerical solutions for these…

High Energy Physics - Theory · Physics 2009-11-10 Hideaki Kudoh , Toby Wiseman

We apply our model of quantum gravity to an AdS black hole resulting in a wave equation in a quantum spacetime which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The stationary…

General Relativity and Quantum Cosmology · Physics 2016-09-22 Claus Gerhardt

Modified gravity models such as Ho\v{r}ava-Lifshitz gravity or Einstein-{\ae}ther theory violate local Lorentz invariance and therefore destroy the notion of a universal light cone. Despite this, in the infrared limit both models above…

High Energy Physics - Theory · Physics 2013-05-30 Per Berglund , Jishnu Bhattacharyya , David Mattingly

Higher dimensional Einstein gravity in vacuum admits static black hole solutions with an Einstein manifold of non constant curvature as a horizon. This gives a much richer family of static black holes than in four dimensional GR. However,…

High Energy Physics - Theory · Physics 2009-11-11 Gustavo Dotti , Reinaldo J. Gleiser

A quantum scalar field inside the horizon of a non-rotating BTZ black hole is studied. Not only the near-horizon modes but also the normal modes deep inside the horizon are obtained. It is shown that the matching condition for the normal…

High Energy Physics - Theory · Physics 2020-11-06 Ryuichi Nakayama , Kenji Shiohara

Event horizons are (generically) not physically observable. In contrast, apparent horizons (and the closely related trapping horizons) are generically physically observable --- in the sense that they can be detected by observers working in…

General Relativity and Quantum Cosmology · Physics 2014-12-10 Matt Visser
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