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The last seven years has produced a growing body of evidence which concludes that the Cauchy horizon in black hole-de Sitter spacetimes is classically stable when the surface gravity at the cosmological event horizon is greater than that at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris M. Chambers

We motivate through a detailed analysis of the Hawking radiation in a Schwarzschild background a scheme in accordance with quantum unitarity. In this scheme the semi-classical approximation of the unitary quantum - horizonless - black hole…

High Energy Physics - Theory · Physics 2011-01-05 Francois Englert , Philippe Spindel

It is known that the event horizon of a black hole can often be identified from the zeroes of some curvature invariants. The situation in lower dimensions has not been thoroughly clarified. In this work we investigate both (2+1)- and…

General Relativity and Quantum Cosmology · Physics 2019-11-19 Daniele Gregoris , Yen Chin Ong , Bin Wang

In quantum field theory applied to black hole spacetimes, substantial evidence suggests that the Unruh and Hartle-Hawking vacuum states become singular at Cauchy horizons. This raises essential questions regarding the impact of quantum…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Julio Arrechea , Giulio Neri , Stefano Liberati

Quantum fluctuations of the spacetime metric induce an uncertainty in the horizon area of a black hole. Working in linearized quantum gravity, we derive the variance in the area of a four-dimensional Schwarzschild black hole from the…

High Energy Physics - Theory · Physics 2025-08-05 Maulik Parikh , Jude Pereira

Black hole apparent horizons possess a natural notion of stability, whose spectral characterization can be related to the problem of the stationary quantum charged particle. Such mathematical relation leads to an "analyticity conjecture" on…

General Relativity and Quantum Cosmology · Physics 2016-08-23 José Luis Jaramillo

A stationary solution of the Dirac equation in the metric of a Reissner-Nordstrom black hole has been found. Only one stationary regular state outside the black hole event horizon and only one stationary regular state below the Cauchy…

General Relativity and Quantum Cosmology · Physics 2013-08-28 V. I. Dokuchaev , Yu. N. Eroshenko

To understand the nature of the black holes that exist in the Universe, it is also necessary to study what happens to the (quantum) matter that collapses and forms such objects. In this work, we consider a dust ball with an electrically…

General Relativity and Quantum Cosmology · Physics 2024-11-14 R. Casadio , R. da Rocha , A. Giusti , P. Meert

We examine the late-time evolution of a qubit (or Unruh-De Witt detector) that hovers very near to the event horizon of a Schwarzschild black hole, while interacting with a free quantum scalar field. The calculation is carried out…

High Energy Physics - Theory · Physics 2021-01-21 Greg Kaplanek , C. P. Burgess

We study an Unruh-DeWitt particle detector that is coupled to the proper time derivative of a real scalar field in 1+1 spacetime dimensions. Working within first-order perturbation theory, we cast the transition probability into a…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Benito A. Juárez-Aubry , Jorma Louko

Rotating and/or charged black hole spacetimes possess a Cauchy horizon, beyond which Einstein's equations of General Relativity cease to be deterministic. This led to the formulation of the Strong Cosmic Censorship conjecture that such…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Marc Casals , Cássio I. S. Marinho

When analyzing the perception of Hawking radiation by different observers, the Hawking effect becomes mixed with the Unruh effect. The separation of both effects is not always clear in the literature. Here we propose an inconsistency-free…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Luis C. Barbado , Carlos Barceló , Luis J. Garay , Gil Jannes

We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of Reissner-Nordstr\"om-de Sitter and Kerr-de Sitter spacetimes, and in fact decay exponentially fast to a constant along the Cauchy horizon. We obtain our…

Analysis of PDEs · Mathematics 2020-05-28 Peter Hintz , Andras Vasy

Different approaches to quantum gravity conclude that black holes may possess an inner horizon, in addition to the (quantum corrected) outer `Schwarzschild' horizon. In this paper we assume the existence of this inner horizon and explain…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Ramon Torres

We present a quantum optics treatment of the near horizon behaviour of a quantum oscillator freely-falling into a pre-existing Schwarzschild black hole. We use Painleve-Gullstrand coordinates to define a global vacuum state. In contrast to…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Derek J. Raine , Paul G. Abel

We consider the quantum stress-energy tensor of a massless scalar field near the Cauchy horizon interior to the Reissner-Nordstr\"om black hole spacetime. We construct the quantum state by considering the two-point function on a negative…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Peter Taylor

We begin a program of work aimed at examining the interior of a rotating black hole with a non--zero cosmological constant. The generalisation of Teukolsky's equation for the radial mode functions is presented. It is shown that the energy…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Chris M. Chambers , Ian G. Moss

The Painlev\'e-Gullstrand coordinates allow us to explore the interior of the regular Hayward black hole. The behavior of an infalling particle in traversing the Hayward black hole is compared with the one inside the Schwarzschild and…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Ivan Perez-Roman , Nora Bretón

Non-commutative geometries have been proposed as an approach to quantum gravity and have led to the construction of non-commutative black holes, whose interior singularities are purportedly eliminated due to quantum effects. Here we find…

High Energy Physics - Theory · Physics 2015-05-20 Eric Brown , Robert B. Mann

We study the causal structure of dynamical charged black holes, with a sufficient number of massless fields, using numerical simulations. Neglecting Hawking radiation, the inner horizon is a null Cauchy horizon and a curvature singularity…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Sungwook E. Hong , Dong-il Hwang , Ewan D. Stewart , Dong-han Yeom