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These lecture notes are based on those presented at the Theoretical Aspects of Astroparticle Physics, Cosmology and Gravitation School at the Galileo Galilee Institute in Florence in 2021, https://agenda.infn.it/event/24368/. They aim to…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-13 Christian T. Byrnes , Philippa S. Cole

Black holes absorb any particle impinging with an impact parameter below a critical value. We show that 2- and 3-charge fuzzball geometries exhibit a similar trapping behaviour for a selected choice of the impact parameter of incoming…

High Energy Physics - Theory · Physics 2019-07-22 Massimo Bianchi , Dario Consoli , Alfredo Grillo , Jose F. Morales

We explore superoscillations within the context of classical and quantum field theories, presenting novel solutions to Klein-Gordon's, Dirac's, Maxwell's and Einstein's equations. In particular, we illustrate a procedure of second…

High Energy Physics - Theory · Physics 2024-04-23 Andrea Addazi , Qingyu Gan

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

Two strands of observational gravitation, one the search for astrophysical evidence of primordial black holes and the other the search for gravitational waves, may combine to provide strong evidence in favour of cosmological models based on…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Edmund J. Copeland , Andrew R. Liddle , James E. Lidsey , David Wands

It is sometimes believed that small quantum gravity effects can encode information as `delicate correlations' in Hawking radiation, thus saving unitarity while maintaining a semiclassical horizon. A recently derived inequality showed that…

High Energy Physics - Theory · Physics 2015-05-27 Samir D. Mathur , Christopher J. Plumberg

We review the 20-year history of the Microstate Geometry Programme and the essential role that supergravity has played, and will continue to play, in the description of black-hole microstructure.

High Energy Physics - Theory · Physics 2025-03-24 Iosif Bena , Nicholas P. Warner

Recently some 4d asymptotically $AdS_2 \times S^2$ regular bubbling solutions written in terms of an arbitrary profile function has appeared in literature. We discuss the possibility of extending these solutions to asymptotically flat…

High Energy Physics - Theory · Physics 2016-11-29 Lorenzo Pieri

We study phase structures of quantum field theories in fuzzy geometries. Several examples of fuzzy geometries as well as QFT's on such geometries are considered. They are fuzzy spheres and beyond as well as noncommutative deformations of…

High Energy Physics - Theory · Physics 2012-04-30 T R Govindarajan , S. Digal , K. S. Gupta , X. Martin

Fuzzy dark matter wormhole solutions coupled with anisotropic matter distribution are explored in higher-order curvature gravity. We derive the shape function for fuzzy wormholes and explore their possible stability. We study the embedding…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Z. Yousaf , Kazuharu Bamba , Bander Almutairi , M. Z. Bhatti , M. Rizwan

Black holes are believed to have the fast scrambling properties of random matrices. If the fuzzball proposal is to be a viable model for quantum black holes, it should reproduce this expectation. This is considered challenging, because it…

High Energy Physics - Theory · Physics 2023-06-02 Suman Das , Sumit K. Garg , Chethan Krishnan , Arnab Kundu

Monopoles and solitons have important topological aspects like quantized fluxes, winding numbers and curved target spaces. Naive discretizations which substitute a lattice of points for the underlying manifolds are incapable of retaining…

High Energy Physics - Theory · Physics 2009-10-31 S. Baez , A. P. Balachandran , S. Vaidya , B. Ydri

We provide a fuzzball picture for Schwarzshild black holes, in which matters and energy consisting the hole are not positioned on the central point exclusively but oscillate around there in a serial of eigen-modes, each of which features a…

High Energy Physics - Theory · Physics 2018-04-06 Ding-fang Zeng

Bringing gravity into a quantum-mechanical framework is likely the most profound remaining problem in fundamental physics. The "unitarity crisis" for black hole evolution appears to be a key facet of this problem, whose resolution will…

General Relativity and Quantum Cosmology · Physics 2021-02-22 Steven B. Giddings

Elements of supergeometry are an ingredient in many contemporary classical and quantum field models involving odd fields. For instance, this is the case of SUSY field theory, BRST theory, supergravity. Addressing to theoreticians, these…

Mathematical Physics · Physics 2009-10-02 G. Sardanashvily

We give a survey of the present status of the microstate geometries called superstrata. Superstrata are smooth, horizonless solutions of six-dimensional supergravity that represent some of the microstates of the D1-D5-P black hole in string…

High Energy Physics - Theory · Physics 2020-05-27 Masaki Shigemori

Recently certain non-supersymmetric solutions of type IIb supergravity were constructed [hep-th/0504181], which are everywhere smooth, have no horizons and are thought to describe certain non-BPS microstates of the D1-D5 system. We…

High Energy Physics - Theory · Physics 2009-11-11 V. Cardoso , O. J. C. Dias , J. L. Hovdebo , R. C. Myers

In the first section of these lectures I outline the classical framework of the Hubble classification system. Because of space limitations I will focus on points of controversy concerning the physical interpretation of the Hubble sequence,…

Astrophysics · Physics 2007-05-23 R. G. Abraham

Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-05-26 Alexander Zhidenko

I solve the equations of the low-energy limit of string theory to obtain a solution corresponding to a microcanonical ensemble of highly-excited superstrings. This ``Superball of Strings'' is a static, spherically symmetric ``fuzzball'' of…

High Energy Physics - Theory · Physics 2026-05-06 Yoav Zigdon