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After introducing the gravitational decoupling method and the hairy black hole recently derived from it, we investigate the formation of quantum hairy black holes by applying the horizon quantum mechanics formalism. It enables us to…

General Relativity and Quantum Cosmology · Physics 2023-01-03 R. T. Cavalcanti , J. M. Hoff da Silva

The information paradox suggests that the black hole loses information when it emits radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum state even if the internal state generating the black-hole is…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Ivan Arraut

The black hole information paradox tells us something important about the way quantum mechanics and gravity fit together. In these lectures I try to give a pedagogical review of the essential physics leading to the paradox, using mostly…

High Energy Physics - Theory · Physics 2009-01-28 Samir D. Mathur

For Hawking radiation, treated as a tunneling process, the no-hair theorem of black hole together with the law of energy conservation is utilized to postulate that the tunneling rate only depends on the external qualities (e.g., the mass…

High Energy Physics - Theory · Physics 2009-07-14 H. Dong , Qing-yu Cai , X. F. Liu , C. P. Sun

In the realm of spacetimes governed by Einstein's general relativity and containing only Maxwell's electromagnetic field, stationary black holes are fully characterized by their mass, electric or magnetic charge, and angular momentum -- a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Romain Gervalle

The recent progress in string theory strongly suggests that formation and evaporation of black holes is a unitary process. This fact makes it imperative that we find a flaw in the semiclassical reasoning that implies a loss of information.…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Samir D. Mathur

The recently introduced Isolated Horizons (IH) formalism has become a powerful tool for realistic black hole physics. In particular, it generalizes the zeroth and first laws of black hole mechanics in terms of quasi-local quantities and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alejandro Corichi , Daniel Sudarsky

We present spherically symmetric black hole solutions for Einstein gravity coupled to anisotropic matter. We show that these black holes have arbitrarily short hair, and argue for stability by showing that they can arise from dynamical…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Brown , Viqar Husain

It has been argued that small corrections to evolution arising from non-geometric effects can resolve the information paradox. We can get such effects, for example, from subleading saddle points in the Euclidean path integral. But an…

High Energy Physics - Theory · Physics 2015-06-17 Samir D. Mathur

We study the Hawking radiation of 3D rotating hairy black holes. More concretely, we compute the transition probability of a bosonic and fermionic particle in such backgrounds. Thew, we show that the transition probability is independent of…

High Energy Physics - Theory · Physics 2015-10-28 A. Belhaj , M. Chabab , H. EL Moumni , K. Masmar , M. B. Sedra

Strong self-gravitational fields enable the realization of macroscopic odd-parity quantum objects. Using ray-tracing methods, we systematically analyze the dynamics of photons and the shadow features of rotating black holes with parity-odd…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Yang Huang , Dao-Jun Liu , Hongsheng Zhang

Effective theory of fluctuations based on underlying symmetry plays very important role in understanding the low energy phenomena. Using this powerful technique we study the fluctuation dynamics keeping in mind the following central…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Sayan Chakrabarti , Sumeet Chougule , Debaprasad Maity

Recent studies of asymptotic symmetries suggest, that a Hamiltonian phase space analysis in gravitational theories might be able to account for black hole microstates. In this context we explain, why the use of conventional Bondi fall-off…

High Energy Physics - Theory · Physics 2019-01-30 Artem Averin

By entangling soft massless particles one can create an arbitrarily large amount of entanglement entropy that carries an arbitrarily small amount of energy. Dropping this entropy into the black hole (b.h.) one can increase the b.h. entropy…

High Energy Physics - Theory · Physics 2023-01-11 Hrvoje Nikolic

The black hole no-hair theorem is traditionally derived from the uniqueness theorems of general relativity. We show that a quantitative form follows from unitarity together with the standard semiclassical assumptions of horizon causality…

Quantum Physics · Physics 2026-05-01 Sudhanva Joshi , Sunil Kumar Mishra

Black holes have been implicated in two paradoxes that involve apparently non-unitary dynamics. According to Hawking's theory, information that is absorbed by a black hole is destroyed, and the originally pure state of a black hole is…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Christoph Adami

Despite the no-hair theorem, several notable hairy black hole (BH) solutions exist in both General Relativity and modified gravity theories. For such hairs to be detectable, they must extend sufficiently beyond the event horizon. This idea…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Rajes Ghosh , Chiranjeeb Singha

We build on the observation by Hawking, Perry and Strominger that a global black hole space-time supports a large number of soft hair degrees of freedom to shed new light on the firewall argument by Almheiri, Marolf, Polchinski, and Sully.…

High Energy Physics - Theory · Physics 2021-10-04 Sabrina Pasterski , Herman Verlinde

I review the information loss paradox that was first formulated by Hawking, and discuss possible ways of resolving it. All proposed solutions have serious drawbacks. I conclude that the information loss paradox may well presage a revolution…

High Energy Physics - Theory · Physics 2007-05-23 John Preskill

We study the black hole information paradox in the context of a two-dimensional toy model given by dilaton gravity coupled to $N$ massless scalar fields. After making the model well-defined by imposing reflecting boundary conditions at a…

High Energy Physics - Theory · Physics 2009-10-22 Erik Verlinde , Herman Verlinde