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Motivated by the search for gravitational waves emitted by binary black holes, we investigate the gravitational radiation field of point particles with spins within the framework of the multipolar-post-Newtonian wave generation formalism.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

Tree-level scattering amplitudes of particles have a geometrical description in terms of intersection numbers of pairs of twisted differential forms on the moduli space of Riemann spheres with punctures. We customize a catalog of twisted…

High Energy Physics - Theory · Physics 2022-12-26 Pouria Mazloumi , Stephan Stieberger

The ringdown phase of a binary black-hole merger provides a clean probe of strong-field gravity, as it can be modeled with minimal assumptions. The quasi-normal-mode frequencies encode the mass and spin of the Kerr black-hole remnant, while…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Chiara Anselmo , Costantino Pacilio , Davide Gerosa

We discuss simple integration methods for the calculation of rotating black hole scattering resonances both in the complex frequency plane (quasinormal modes) and the complex angular momentum plane (Regge poles). Our numerical schemes are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 K. Glampedakis , N. Andersson

The light-like limit of the Kerr gravitational field relative to a distant observer moving rectilinearly in an arbitrary direction is an impulsive plane gravitational wave with a singular point on its wave front. By colliding particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Barrabes , V. P. Frolov , P. A. Hogan

The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

We investigate the wave optics in the Schwarzschild spacetime. Applying the standard formalism of wave scattering problems, the Green function represented by the sum over the partial waves is evaluated using the Poisson sum formula. The…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Yasusada Nambu , Sousuke Noda

We generalize the factorized resummation of multipolar waveforms introduced by Damour, Iyer and Nagar to spinning black holes. For a nonspinning test-particle spiraling a Kerr black hole in the equatorial plane, we find that factorized…

General Relativity and Quantum Cosmology · Physics 2013-05-10 Yi Pan , Alessandra Buonanno , Ryuichi Fujita , Etienne Racine , Hideyuki Tagoshi

Heavy particle effective theory applied to spinning black holes provides a natural framework in which propagators linearize and numerators exponentiate. In this work, we exploit these two features to introduce Kerr generating functions,…

High Energy Physics - Theory · Physics 2026-04-16 Rafael Aoude , Andreas Helset

We compute the gravitational impulse for two classical massive scalars in the ultrarelativistic limit to all orders in Newton's constant $G_N$ at fixed $G_N s/m b$ to $O(m^4/s^2)$. By computing the 4 and 5-point scattering amplitudes in the…

High Energy Physics - Theory · Physics 2026-05-19 Michael Saavedra

Of all the astronomical sources of gravitational radiation, the ringdown waveform arising from a small perturbation of a spinning black hole is perhaps the best understood: for the late stages of such a perturbation, the waveform is simply…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Jolien D. E. Creighton

We numerically solve the inhomogeneous Zerilli-Moncrief and Regge-Wheeler equations in the time domain. We obtain the gravitational waveforms produced by a point-particle of mass $\mu$ traveling around a Schwarzschild black hole of mass M…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karl Martel

The gravitational waves and energy radiations from a spinning compact object with stellar mass in a circular orbit in the equatorial plane of a supermassive Kerr black hole are investigated in this paper. The effect how the spin acts on…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Wen-Biao Han

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

We present numerical results from three-dimensional evolutions of scalar perturbations of Kerr black holes. Our simulations make use of a high-order accurate multi-block code which naturally allows for fixed adaptivity and smooth inner…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ernst Nils Dorband , Emanuele Berti , Peter Diener , Erik Schnetter , Manuel Tiglio

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

Our earlier work on the quantum amplitude for a scalar field in black-hole evaporation, following gravitational collapse, is here extended to Maxwell theory. Boundary data are specified on initial and final space-like hypersurfaces…

General Relativity and Quantum Cosmology · Physics 2016-08-31 A. N. St. J. Farley , P. D. D'Eath

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

We study the scattering of massive spin-half waves by a Schwarzschild black hole using analytical and numerical methods. We begin by extending a recent perturbation theory calculation to next order to obtain Born series for the differential…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sam Dolan , Chris Doran , Anthony Lasenby

We compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specialising to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell