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We derive the multipole moments of the Kerr-NUT black hole spacetime using the Geroch-Hansen formalism, even though the spacetime is not asymptotically flat. Intriguingly, in the presence of the NUT charge, the absence of reflection…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Sajal Mukherjee , Sumanta Chakraborty

In general relativity, the Kerr metric uniquely represents the geometry surrounding an isolated, rotating black hole. An identification of significant non-Kerr features in some astrophysical source would then provide a `smoking-gun' for the…

General Relativity and Quantum Cosmology · Physics 2020-08-07 Arthur G Suvorov

Deep conceptual problems associated with classical black holes can be addressed in string theory by the ``fuzzball'' paradigm, which provides a microscopic description of a black hole in terms of a thermodynamically large number of regular,…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Taishi Ikeda , Massimo Bianchi , Dario Consoli , Alfredo Grillo , Josè Francisco Morales , Paolo Pani , Guilherme Raposo

Einstein's theory of General Relativity predicts that the spacetime metric around astrophysical black holes is described by the Kerr solution. In this work, we employ state-of-the-art in relativistic reflection modeling to analyze a…

High Energy Astrophysical Phenomena · Physics 2021-05-31 Ashutosh Tripathi , Yuexin Zhang , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Jiachen Jiang , Honghui Liu , Menglei Zhou

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

Einstein's theory of general relativity predicts that the only stationary configuration of an isolated black hole is the Kerr spacetime, which has a unique multipolar structure and a spherical shape when non-spinning. This is in striking…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Guilherme Raposo , Paolo Pani

In General Relativity, the spacetimes of black holes have three fundamental properties: (i) they are the same, to lowest order in spin, as the metrics of stellar objects; (ii) they are independent of mass, when expressed in geometric units;…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Dimitrios Psaltis , Colm Talbot , Ethan Payne , Ilya Mandel

The measurement of multipole moments of astrophysical objects through gravitational wave (GW) observations provides a novel way to distinguish black holes from other astrophysical objects. This paper studies the gravitational wave radiation…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Mostafizur Rahman , Arpan Bhattacharyya

The fuzzball proposal states that associated with a black hole of entropy S there are exp S horizon-free non-singular solutions that asymptotically look like the black hole but generically differ from the black hole up to the horizon scale.…

High Energy Physics - Theory · Physics 2009-11-13 Kostas Skenderis , Marika Taylor

Black-hole uniqueness, i.e., the statement that all stationary vacuum black holes in the universe are described by the Kerr solution, is expected to break in theories beyond General Relativity. This breaking can take a particularly strong…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Astrid Eichhorn , Pedro G. S. Fernandes , Lidia Marino

We discuss the scattering of massive scalar probes off Myers-Perry black holes in the Kerr-Schild gauge. Extending the analysis performed recently for Kerr(-Newman) black holes, we show that the Kerr-Schild gauge allows to write down the…

High Energy Physics - Theory · Physics 2025-05-09 Massimo Bianchi , Claudio Gambino , Fabio Riccioni , Vincenzo Zevola

We present a novel systematic framework for engineering energy-momentum tensors in linearized gravity that generate gravitational fields with a prescribed multipolar structure, aimed at modeling black hole mimickers. As a concrete example,…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Claudio Gambino

The advent of gravitational waves and black hole imaging has opened a new window into probing the horizon scale of black holes. An important question is whether string theory results for black holes can predict interesting and observable…

High Energy Physics - Theory · Physics 2020-12-07 Daniel R. Mayerson

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

Stellar-mass black holes offer what is perhaps the best scenario to test theories of gravity in the strong-field regime. In particular, f(R) theories, which have been widely discuss in a cosmological context, can be constrained through…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-13 Daniela Pérez , Gustavo E. Romero , Santiago E. Perez Bergliaffa

This thesis aims to explore the properties of the motion of finite size, compact test bodies around a Kerr black hole in the small mass-ratio approximation. The small body is modelled as a perturbation of Kerr geometry, neglecting its…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Adrien Druart

The relativistic multipole moments provide a key ingredient to characterize the gravitational field around compact astrophysical objects. They play a crucial role in the description of the orbital evolution of coalescing binary systems and…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Massimo Vaglio , Costantino Pacilio , Andrea Maselli , Paolo Pani

The black-hole information paradox provides one of the sharpest foci for the conflict between quantum mechanics and general relativity and has become the proving-ground of would-be theories of quantum gravity. String theory has made…

High Energy Physics - Theory · Physics 2022-04-29 Iosif Bena , Emil J. Martinec , Samir D. Mathur , Nicholas P. Warner

The horizon multipole moments of a Kerr black hole are computed from two distinct definitions that have been proposed in the literature. The first one [Ashtekar et al., Class. Quantum Grav. 21, 2549 (2004)] regards axisymmetric isolated…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Eric Gourgoulhon , Alexandre Le Tiec , Marc Casals

In general relativity, all vacuum black holes are described by the Kerr solution. Beyond general relativity, there is a prevailing expectation that deviations from the Kerr solution increase with the horizon curvature. We challenge this…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Astrid Eichhorn , Pedro G. S. Fernandes , Aaron Held , Hector O. Silva