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Weak gravitational, electromagnetic, neutrino and scalar fields, considered as perturbations on Kerr background satisfy Teukolsky Master Equation. The two non-trivial equations obtained after separating the variables are the polar angle…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Roumen S. Borissov , Plamen P. Fiziev

We discuss a general method to study linear perturbations of slowly rotating black holes which is valid for any perturbation field, and particularly advantageous when the field equations are not separable. As an illustration of the method…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Paolo Pani , Vitor Cardoso , Leonardo Gualtieri , Emanuele Berti , Akihiro Ishibashi

The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves. Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

Compact binaries can have non-negligible orbital eccentricities in the frequency band of ground-based gravitational-wave detectors, depending on their astrophysical formation channels. To accurately determine the parameters of such systems,…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Quentin Henry , Mohammed Khalil

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

We present a novel study of Kerr Compton amplitudes in a partial wave basis in terms of the Nekrasov-Shatashvili (NS) function of the confluent Heun equation (CHE). Remarkably, NS-functions enjoy analytic properties and symmetries that are…

High Energy Physics - Theory · Physics 2024-08-01 Yilber Fabian Bautista , Giulio Bonelli , Cristoforo Iossa , Alessandro Tanzini , Zihan Zhou

We study the transition from inspiral to plunge in general relativity by computing gravitational waveforms of non-spinning, equal-mass black-hole binaries. We consider three sequences of simulations, starting with a quasi-circular inspiral…

General Relativity and Quantum Cosmology · Physics 2008-11-26 U. Sperhake , E. Berti , V. Cardoso , J. A. Gonzalez , B. Bruegmann , M. Ansorg

Compact binary coalescences are the most promising sources of gravitational waves (GWs) for ground based detectors. Binary systems containing one or two spinning black holes are particularly interesting due to spin-orbit (and eventual…

General Relativity and Quantum Cosmology · Physics 2014-07-02 Salvatore Vitale , Ryan Lynch , John Veitch , Vivien Raymond , Riccardo Sturani

We present here a complete list of contributions to the gravitational wave frequency evolution from compact binaries on circular orbits up to the second post-Newtonian order by including the interaction of magnetic dipole moments,…

Astrophysics · Physics 2016-08-15 Balázs Mikóczi

We utilize various computational techniques in flat and curved backgrounds to calculate the classical gravitational Compton amplitude up to the second post-Minkowskian order. Our novel result supports the use of worldline quantum field…

High Energy Physics - Theory · Physics 2025-11-03 N. Emil J. Bjerrum-Bohr , Gang Chen , Carl Jordan Eriksen , Nabha Shah

The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors ${\bf S}_{{\bf 1}}, {\bf S}_{{\bf 2}}$ and ${\bf L}$, characterizing a binary system on eccentric orbit is studied up to the second…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

Gravitational waves from coalescing binary black holes encode the evolution of their spins prior to merger. In the post-Newtonian regime and on the precession timescale, this evolution has one of three morphologies, with the spins either…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Daniele Trifirò , Richard O'Shaughnessy , Davide Gerosa , Emanuele Berti , Michael Kesden , Tyson Littenberg , Ulrich Sperhake

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Neil J. Cornish , Joey Shapiro Key

The present paper aims at elaborating a completely physical representation for the general 4-parameter family of the extended double-Kerr spacetimes describing two spinning sources in gravitational equilibrium. This involved problem is…

General Relativity and Quantum Cosmology · Physics 2015-11-11 V. S. Manko , E. Ruiz

The perturbations of the Kerr metric and the miracle of their exact solutions play a critical role in the comparison of predictions of general relativity with astrophysical observations of compact massive objects. The differential equations…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Denitsa Staicova , Plamen Fiziev

We present numerical waveforms of gravitational-wave echoes from spinning exotic compact objects (ECOs) that result from binary black hole coalescence. We obtain these echoes by solving the Teukolsky equation for the $\psi_4$ associated…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Shuo Xin , Baoyi Chen , Rico K. L. Lo , Ling Sun , Wen-Biao Han , Xingyu Zhong , Manu Srivastava , Sizheng Ma , Qingwen Wang , Yanbei Chen

We discuss the late-time behaviour of a dynamically perturbed Kerr black hole. We present analytic results for near extreme Kerr black holes that show that the large number of virtually undamped quasinormal modes that exist for nonzero…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Nils Andersson , Kostas Glampedakis

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

We compute next-to-next-to-leading order spin contributions to the post-Newtonian equations of motion for binaries of compact objects, such as black holes or neutron stars. For maximally spinning black holes, those contributions are of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sylvain Marsat , Alejandro Bohe , Guillaume Faye , Luc Blanchet

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 László Árpád Gergely