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We show that transient resonances occur in the two body problem in general relativity, in the highly relativistic, extreme mass-ratio regime for spinning black holes. These resonances occur when the ratio of polar and radial orbital…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Eanna E. Flanagan , Tanja Hinderer

Extreme mass ratio inspirals (EMRIs) occur when a compact object orbits a much larger one, like a solar-mass black hole around a supermassive black hole. The orbit has 3 frequencies which evolve through the inspiral. If the orbital radial…

General Relativity and Quantum Cosmology · Physics 2017-06-16 C. P. L. Berry , R. H. Cole , P. Cañizares , J. R. Gair

The inspiral of stellar-mass compact objects, like neutron stars or stellar-mass black holes, into supermassive black holes provides a wealth of information about the strong gravitational-field regime via the emission of gravitational…

General Relativity and Quantum Cosmology · Physics 2017-01-13 Christopher P. L. Berry , Robert H. Cole , Priscilla Cañizares , Jonathan R. Gair

Binary black holes which are both eccentric and undergo precession remain unexplored in numerical simulations. We present simulations of such systems which cover about 50 orbits at comparatively high mass ratios 5 and 7. The configurations…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Adam G. M. Lewis , Aaron Zimmerman , Harald P. Pfeiffer

An expected source of gravitational waves for future detectors in space are the inspirals of small compact objects into much more massive black holes. These sources have the potential to provide a wealth of information about astronomy and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Jonathan R Gair , Nicolas Yunes , Carl M Bender

One of the primary sources for the future space-based gravitational wave detector, the Laser Interferometer Space Antenna, are the inspirals of small compact objects into massive black holes in the centres of galaxies. The gravitational…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Lorenzo Speri , Jonathan R. Gair

Extreme mass ratio inspirals (EMRIs) will be important sources for future space-based gravitational-wave detectors. In recent work, tidal resonances in binary orbital evolution induced by the tidal field of nearby stars or black holes have…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Priti Gupta , Béatrice Bonga , Alvin J. K. Chua , Takahiro Tanaka

We investigate the possibility of sustained orbital resonances in extreme mass ratio inspirals. Using a near-identity averaging transformation, we reduce the equations of motion for a particle moving in Kerr spacetime with self-force…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Maarten van de Meent

Rotating black holes can produce superradiant clouds of ultralight bosons. When the black hole is part of a binary system, its cloud can undergo resonances and ionization. These processes leave a distinct signature on the gravitational…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Giovanni Maria Tomaselli , Thomas F. M. Spieksma , Gianfranco Bertone

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that…

Astrophysics · Physics 2009-11-10 Jeremy D. Schnittman

The last gravitational waves emitted in the coalescence of two black holes are quasi-normal ringing modes of the merged remnant. In general relativity, the mass and the spin of the remnant black hole uniquely determine the frequency and…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Anuj Apte , Scott A. Hughes

The width of a resonance in a nearly integrable system, i.e. in a non-integrable system where chaotic motion is still not prominent, can tell us how a perturbation parameter is driving the system away from integrability. Although the tool…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Ondřej Zelenka , Ondřej Kopáček , Georgios Lukes-Gerakopoulos

The inspiral of a ``small'' ($\mu \sim 1-100 M_\odot$) compact body into a ``large'' ($M \sim 10^{5-7} M_\odot$) black hole is a key source of gravitational radiation for the space-based gravitational-wave observatory LISA. The waves from…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Scott A. Hughes

Given the multi-frequency nature of relativistic orbits, transient orbital resonances are expected to be ubiquitous during an extreme-mass-ratio inspiral (EMRI). At a resonance, the orbital dynamics is modified in a nontrivial way,…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Edoardo Levati , Alejandro Cárdenas-Avendaño

The inspiral and merger of a binary black hole system generally leads to an asymmetric distribution of emitted radiation, and hence a recoil of the remnant black hole directed opposite to the net linear momentum radiated. The recoil…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Christopher M Hirata

Extreme mass ratio inspirals (EMRIs), where a compact object orbits a massive black hole, are a key source of gravitational waves for the future Laser Interferometer Space Antenna (LISA). Due to their small mass ratio, ($\epsilon \sim…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Philip Lynch , Vojtěch Witzany , Maarten van de Meent , Niels Warburton

In the present article, we study the orbital resonance corresponds to an extended object approximated up to the dipole order term in Kerr spacetime. We start with the Mathisson-Papapetrou equations under the linear spin approximation and…

General Relativity and Quantum Cosmology · Physics 2020-07-14 Sajal Mukherjee , Santanu Tripathy

We present results from a new code for binary black hole evolutions using the moving-puncture approach, implementing finite differences in generalised coordinates, and allowing the spacetime to be covered with multiple communicating…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Denis Pollney , Christian Reisswig , Erik Schnetter , Nils Dorband , Peter Diener

Gravitational-wave signals from black-hole binaries with non-precessing spins are described by four parameters -- each black hole's mass and spin. It has been shown that the dominant spin effects can be modeled by a \emph{single} spin…

General Relativity and Quantum Cosmology · Physics 2013-09-11 Michael Pürrer , Mark Hannam , P. Ajith , Sascha Husa

For massive black hole binaries produced in galactic mergers, we examine the possibility of inspiral induced by interaction with field stars. We model the evolution of such binaries for a range of galaxy core and binary parameters, using…

Astrophysics · Physics 2010-11-01 Mohan Rajagopal , Roger W. Romani
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