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The existence of spacetime singularities is one of the biggest problems of nowadays physics. According to Penrose, each physical singularity should be covered by a "cosmic censor" which prevents any external observer from perceiving their…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Alfio Bonanno , Benjamin Koch , Alessia Platania

A brief review of the confrontation between black hole physics and quantum-mechanical unitarity is presented. Possibile reconciliations are modifying the laws of physics to allow fundamental loss of information, escape of information during…

High Energy Physics - Theory · Physics 2008-02-03 S. B. Giddings

This thesis embarks on a comprehensive investigation of modified gravity theories and their implications on the properties of compact objects. Our primary objective is to shed light on the fundamental nature of gravity by exploring…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Rajes Ghosh

These are the lecture notes for an introductory course on black holes and some aspects of their interaction with the classical and quantum world. The focus is on phenomena of "fundamental physics" in the immediate surroundings of the black…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Roberto Emparan , Elvis Barakovic , Roukaya Dekhil , Filip Rescic

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou

The grand challenges of contemporary fundamental physics---dark matter, dark energy, vacuum energy, inflation and early universe cosmology, singularities and the hierarchy problem---all involve gravity as a key component. And of all…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Leor Barack , Vitor Cardoso , Samaya Nissanke , Thomas P. Sotiriou , Abbas Askar , Krzysztof Belczynski , Gianfranco Bertone , Edi Bon , Diego Blas , Richard Brito , Tomasz Bulik , Clare Burrage , Christian T. Byrnes , Chiara Caprini , Masha Chernyakova , Piotr Chrusciel , Monica Colpi , Valeria Ferrari , Daniele Gaggero , Jonathan Gair , Juan Garcia-Bellido , S. F. Hassan , Lavinia Heisenberg , Martin Hendry , Ik Siong Heng , Carlos Herdeiro , Tanja Hinderer , Assaf Horesh , Bradley J. Kavanagh , Bence Kocsis , Michael Kramer , Alexandre Le Tiec , Chiara Mingarelli , Germano Nardini , Gijs Nelemans , Carlos Palenzuela , Paolo Pani , Albino Perego , Edward K. Porter , Elena M. Rossi , Patricia Schmidt , Alberto Sesana , Ulrich Sperhake , Antonio Stamerra , Leo C. Stein , Nicola Tamanini , Thomas M. Tauris , L. Arturo Urena-Lopez , Frederic Vincent , Marta Volonteri , Barry Wardell , Norbert Wex , Kent Yagi , Tiziano Abdelsalhin , Miguel Angel Aloy , Pau Amaro-Seoane , Lorenzo Annulli , Manuel Arca-Sedda , Ibrahima Bah , Enrico Barausse , Elvis Barakovic , Robert Benkel , Charles L. Bennett , Laura Bernard , Sebastiano Bernuzzi , Christopher P. L. Berry , Emanuele Berti , Miguel Bezares , Jose Juan Blanco-Pillado , Jose Luis Blazquez-Salcedo , Matteo Bonetti , Mateja Boskovic , Zeljka Bosnjak , Katja Bricman , Bernd Bruegmann , Pedro R. Capelo , Sante Carloni , Pablo Cerda-Duran , Christos Charmousis , Sylvain Chaty , Aurora Clerici , Andrew Coates , Marta Colleoni , Lucas G. Collodel , Geoffrey Compere , William Cook , Isabel Cordero-Carrion , Miguel Correia , Alvaro de la Cruz-Dombriz , Viktor G. Czinner , Kyriakos Destounis , Kostas Dialektopoulos , Daniela Doneva , Massimo Dotti , Amelia Drew , Christopher Eckner , James Edholm , Roberto Emparan , Recai Erdem , Miguel Ferreira , Pedro G. Ferreira , Andrew Finch , Jose A. Font , Nicola Franchini , Kwinten Fransen , Dmitry Gal'tsov , Apratim Ganguly , Davide Gerosa , Kostas Glampedakis , Andreja Gomboc , Ariel Goobar , Leonardo Gualtieri , Eduardo Guendelman , Francesco Haardt , Troels Harmark , Filip Hejda , Thomas Hertog , Seth Hopper , Sascha Husa , Nada Ihanec , Taishi Ikeda , Amruta Jaodand , Philippe Jetzer Xisco Jimenez-Forteza , Marc Kamionkowski , David E. Kaplan , Stelios Kazantzidis , Masashi Kimura , Shiho Kobayashi , Kostas Kokkotas , Julian Krolik , Jutta Kunz , Claus Lammerzahl , Paul Lasky , Jose P. S. Lemos , Jackson Levi Said , Stefano Liberati , Jorge Lopes , Raimon Luna , Yin-Zhe Ma , Elisa Maggio , Marina Martinez Montero , Andrea Maselli , Lucio Mayer , Anupam Mazumdar , Christopher Messenger , Brice Menard , Masato Minamitsuji , Christopher J. Moore , David Mota , Sourabh Nampalliwar , Andrea Nerozzi , David Nichols , Emil Nissimov , Martin Obergaulinger , Niels A. Obers , Roberto Oliveri , George Pappas , Vedad Pasic , Hiranya Peiris , Tanja Petrushevska , Denis Pollney , Geraint Pratten , Nemanja Rakic , Istvan Racz , Miren Radia , Fethi M. Ramazanouglu , Antoni Ramos-Buades , Guilherme Raposo , Roxana Rosca-Mead , Marek Rogatko , Dorota Rosinska , Stephan Rosswog , Ester Ruiz Morales , Mairi Sakellariadou , Nicolas Sanchis-Gual , Om Sharan Salafia , Anuradha Samajdar , Alicia Sintes , Majda Smole , Carlos Sopuerta , Rafael Souza-Lima , Marko Stalevski , Nikolaos Stergioulas , Chris Stevens , Tomas Tamfal , Alejandro Torres-Forne , Sergey Tsygankov , Kivanc Unluturk , Rosa Valiante , Maarten van de Meent , Jose Velhinho , Yosef Verbin , Bert Vercnocke , Daniele Vernieri , Rodrigo Vicente , Vincenzo Vitagliano , Amanda Weltman , Bernard Whiting , Andrew Williamson , Helvi Witek , Aneta Wojnar , Kadri Yakut , Haopeng Yan , Stoycho Yazadjiev , Gabrijela Zaharijas , Miguel Zilhao

We report on some advances made in the problem of singularities in general relativity. First is introduced the singular semi-Riemannian geometry for metrics which can change their signature (in particular be degenerate). The standard…

Differential Geometry · Mathematics 2013-09-20 Ovidiu Cristinel Stoica

Black holes are among the most extreme objects that can be found in the Universe and an ideal laboratory for testing fundamental physics. This article will briefly review the basic properties of black holes as expected from general…

General Relativity and Quantum Cosmology · Physics 2018-05-07 Cosimo Bambi

The curvature singularity in viable f(R) gravity models is examined when the background density is dense. This singularity could be eliminated by adding the $R^{2}$ term in the Lagrangian. Some of cosmological consequences, in particular…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-03 Chung-Chi Lee , Chao-Qiang Geng , Louis Yang

In an attempt to re-establish space-time as an essential frame for formulating quantum gravity - rather than an "emergent" one -, we find that exact invariance under scale transformations is an essential new ingredient for such a theory.…

General Relativity and Quantum Cosmology · Physics 2009-09-21 Gerard 't Hooft

Spherically symmetric space-times provide many examples for interesting black hole solutions, which classically are all singular. Following a general program, space-like singularities in spherically symmetric quantum geometry, as well as…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Martin Bojowald

Black holes harbor a spacetime singularity of infinite curvature, where classical spacetime physics breaks down, and current theory cannot predict what will happen. However, the singularity is invisible from the outside because strong…

General Relativity and Quantum Cosmology · Physics 2010-06-10 Ted Jacobson , Thomas P. Sotiriou

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

We discuss a generic form of the scalar potential appearing in the geometric scalar theory of gravity. We find the conditions on the potential by considering weak and strong gravity. The modified black hole solutions are obtained for…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Nahomi Kan , Kiyoshi Shiraishi

There is growing evidence that Ho\v{r}ava gravity may be a viable quantum theory of gravity. It is thus legitimate to expect that gravitational collapse in the full, non-projectable version of the theory should result in geometries that are…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Jacopo Mazza , Stefano Liberati

In the de Sitter-invariant approach to gravitation, all solutions to the gravitational field equations are spacetimes that reduce locally to de Sitter. Consequently, besides including an event horizon, the de Sitter-invariant black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-10 D. F. López , S. Abarghouei Nejad , José G. Pereira

These notes are a summary of lectures given at the Instituto de Astronomia of the Universidad Nacional Autonoma de Mexico (UNAM), the Dipartimento di Fisica of the Universita degli studi di Salerno (Italy), and the Instituto de Fisica…

General Relativity and Quantum Cosmology · Physics 2013-01-01 Gonzalo J. Olmo

While singularities are inevitable in the classical theory of general relativity, it is commonly believed that they will not be present when quantum gravity effects are taken into account in a consistent framework. In particular, the…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

The metric of a spacetime can be greatly simplified if the spacetime is circular. We prove that in generic effective theories of gravity, the spacetime of a stationary, axisymmetric and asymptotically flat solution must be circular if the…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Yiqi Xie , Jun Zhang , Hector O. Silva , Claudia de Rham , Helvi Witek , Nicolas Yunes

Singularities in general relativity and quantum field theory are often taken not only to motivate the search for a more-fundamental theory (quantum gravity, QG), but also to characterise this new theory and shape expectations of what it is…

General Relativity and Quantum Cosmology · Physics 2021-12-17 Karen Crowther , Sebastian De Haro
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