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Within General Relativity, the unique stationary solution of an isolated black hole is the Kerr spacetime, which has a peculiar multipolar structure depending only on its mass and spin. We develop a general method to extract the multipole…

High Energy Physics - Theory · Physics 2020-12-30 Massimo Bianchi , Dario Consoli , Alfredo Grillo , Josè Francisco Morales , Paolo Pani , Guilherme Raposo

Assuming that general relativity is the correct theory of gravity in the strong field limit, can gravitational wave observations distinguish between black hole and other compact object sources? Alternatively, can gravitational wave…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olaf Dreyer , Bernard Kelly , Badri Krishnan , Lee Samuel Finn , David Garrison , Ramon Lopez-Aleman

All multipole moments of a Kerr black hole are uniquely determined by its mass and spin. Gravitational wave observations can test this prediction by measuring spin-induced multipole moments imprinted on the inspiral phase of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Rimo Das , N. V. Krishnendu , M. Saleem , Chandra Kant Mishra , K. G. Arun

Black holes are the most compact objects in the Universe. According to general relativity, black holes have a horizon that hides a singularity where Einstein's theory breaks down. Recently, gravitational waves opened the possibility to…

General Relativity and Quantum Cosmology · Physics 2022-12-01 Elisa Maggio

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

We extend the work of Ryan on mapping the spacetime of the central object of an extreme mass-ratio inspiral (EMRI) by using gravitational waves (GWs) emitted by the system, which may be observed in future missions such as LISA. Whether the…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Sayak Datta , Sukanta Bose

According to the no-hair theorem, static black holes are described by a Schwarzschild spacetime provided there are no other sources of the gravitational field. This requirement, however, is in astrophysical realistic scenarios often…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Norman Gürlebeck

The classical no-hair theorem states that stationary black holes in general relativity can be completely described by only a small set of global parameters. Within this framework, no additional geometric structures are expected to persist…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Yiru Zhang , Meirong Tang , Zhaoyi Xu

According to the no-hair theorem, astrophysical black holes are uniquely described by their mass and spin. In this paper, we review a new framework for testing the no-hair hypothesis with observations in the electromagnetic spectrum. The…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Tim Johannsen , Dimitrios Psaltis

Spin-induced quadrupole moments provide an important characterization of compact objects, such as black holes, neutron stars and black hole mimickers inspired by additional fields and/or modified theories of gravity. Black holes in general…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Zhenwei Lyu , Michael LaHaye , Huan Yang , Béatrice Bonga

Gravitational-wave observations of compact binaries have the potential to uncover the distribution of masses and angular momenta of black holes and neutron stars in the universe. The binary components' physical parameters can be inferred…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Mark Hannam , Duncan A. Brown , Stephen Fairhurst , Chris L. Fryer , Ian W. Harry

A dark matter overdensity around a black hole may significantly alter the dynamics of the black hole's merger with another compact object. We consider here intermediate mass-ratio inspirals of stellar-mass compact objects with…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Bradley J. Kavanagh , David A. Nichols , Gianfranco Bertone , Daniele Gaggero

According to the "no-hair" conjecture, a Kerr black hole (BH) is completely described by its mass and spin. In particular, the spin-induced quadrupole moment of a Kerr BH with mass $m$ and dimensionless spin $\chi$ can be written as…

General Relativity and Quantum Cosmology · Physics 2019-11-20 N. V. Krishnendu , M. Saleem , A. Samajdar , K. G. Arun , W. Del Pozzo , Chandra Kant Mishra

We consider a broad family of higher-derivative extensions of four-dimensional Einstein gravity and study the multipole moments of rotating black holes therein. We carefully show that the various definitions of multipoles carry over from…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Pablo A. Cano , Bogdan Ganchev , Daniel R. Mayerson , Alejandro Ruipérez

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 tidal Love numbers of a black hole vanish, and this is often taken to imply that the hole's tidally induced multipole moments vanish also. An obstacle to establishing a link between these statements is that the multipole moments of…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Eric Poisson

The last years have brought upon us a golden age of observational gravitational physics. The several observations by the LIGO/Virgo/KAGRA collaboration about gravitational waves and by the EHT collaboration about the shadow and lensing of…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Jorge F. M. Delgado

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

A binary system, composed of a compact object orbiting around a massive central body, will emit gravitational waves which will depend on the central body's spacetime geometry. We expect that the gravitational wave observables will somehow…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thomas P. Sotiriou , Theocharis A. Apostolatos

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