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Cosmological gamma-ray bursts are potentially associated with systems harboring a black rotating black hole. Calorimetry on yet "unseen" emissions in gravitational waves from a surrounding torus may provide a measure for its rotational…

Astrophysics · Physics 2009-11-07 Maurice H. P. M. van Putten

We study extreme mass-ratio binary systems in which a stellar mass compact object spirals into a supermassive black hole surrounded by a scalar cloud. Scalar clouds can form through superradiant instabilities of massive scalar fields around…

General Relativity and Quantum Cosmology · Physics 2024-11-27 Richard Brito , Shreya Shah

We present a shifted-geodesic framework for computing gravitational-wave fluxes from spinning test bodies moving on bound orbits of Kerr black holes. The method provides a simple and efficient means of evaluating energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Lisa V. Drummond , Scott A. Hughes , Viktor Skoupý , Philip Lynch , Gabriel Andres Piovano

Extreme mass-ratio inspirals (EMRIs), in which a solar mass compact object is whirling around a supermassive black hole, act as precise tracers of the spacetime geometry and astrophysical environment around the supermassive black hole.…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Mostafizur Rahman , Takuya Takahashi

We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In the spirit of the Effective One Body (EOB)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Nagar , Thibault Damour , Angelo Tartaglia

When a stellar-mass compact object is captured by a supermassive black hole located in a galactic centre, the system losses energy and angular momentum by the emission of gravitational waves. Subsequently, the stellar compact object evolves…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Priscilla Canizares , Carlos F. Sopuerta

Inspirals of stellar mass compact objects into supermassive black holes are known as extreme mass ratio inspirals. In the simplest approximation, the motion of the compact object is modeled as a geodesic in the space-time of the massive…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Ondřej Zelenka , Georgios Lukes-Gerakopoulos , Vojtěch Witzany , Ondřej Kopáček

We describe progress evolving an important limit of binary orbits in general relativity, that of a stellar mass compact object gradually spiraling into a much larger, massive black hole. These systems are of great interest for gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Scott A. Hughes , Steve Drasco , Eanna E. Flanagan , Joel Franklin

We calculate the first-order (in the mass-ratio) metric perturbation produced by a small body on an eccentric, precessing bound orbit about a Kerr black hole. We reconstruct the metric perturbation from the maximal spin-weight Weyl scalars,…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Zachary Nasipak

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

General Relativity and Quantum Cosmology · Physics 2014-04-21 Alexandre Le Tiec

The Effective One-Body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective…

High Energy Physics - Theory · Physics 2021-11-24 Poul H. Damgaard , Pierre Vanhove

The use of effective-one-body (EOB) waveforms for black hole binaries analysis in gravitational-wave astronomy requires faithful models and fast generation times. A key aspect to achieve faithfulness is the inclusion of numerical-relativity…

General Relativity and Quantum Cosmology · Physics 2021-04-20 Gunnar Riemenschneider , Piero Rettegno , Matteo Breschi , Angelica Albertini , Rossella Gamba , Sebastiano Bernuzzi , Alessandro Nagar

We revisit the problem of the emission of gravitational waves from a test mass orbiting and thus perturbing a Kerr black hole. The source term of the Teukolsky perturbation equation contains a Dirac delta function which represents a point…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pranesh A. Sundararajan , Gaurav Khanna , Scott A. Hughes

We present the first numerical calculation of the (local) metric perturbation produced by a small compact object moving on an eccentric equatorial geodesic around a Kerr black hole, accurate to first order in the mass ratio. The procedure…

General Relativity and Quantum Cosmology · Physics 2020-05-26 Maarten van de Meent , Abhay G. Shah

Massive objects orbiting a near-extreme Kerr black hole quickly plunge into the horizon after passing the innermost stable circular orbit. The plunge trajectory is shown to be related by a conformal map to a circular orbit. Conformal…

High Energy Physics - Theory · Physics 2014-10-07 Shahar Hadar , Achilleas P. Porfyriadis , Andrew Strominger

We consider extreme mass ratio inspirals during which an electrically charged compact object with mass $m_p$ and the charge to mass ratio $q$ inspirals around a Schwarzschild black hole of mass $M$. Using the Teukolsky and generalized…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Chao Zhang , Yungui Gong

The horizon of a classical black hole (BH), functioning as a one-way membrane, plays a vital role in the dynamic evolution of binary BHs, capable of absorbing fluxes entirely. Tidal heating, stemming from this phenomenon, exerts a notable…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Tieguang Zi , Chang-Qing Ye , Peng-Cheng Li

We intend to develop part of the theoretical tools needed for the detection of gravitational waves coming from the capture of a compact object, 1-100 solar masses, by a Supermassive Black Hole, up to a 10 billion solar masses, located at…

General Relativity and Quantum Cosmology · Physics 2012-09-11 Alessandro Spallicci , Patxi Ritter , Sylvain Jubertie , Stèphane Cordier , Sofiane Aoudia

Inspirals of stellar mass compact objects into massive black holes are an important source for future gravitational wave detectors such as Advanced LIGO and LISA. Detection of these sources and extracting information from the signal relies…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Tanja Hinderer , Eanna E. Flanagan