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We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass-ratio. That is, the local correction to equations of motion for a compact object orbiting…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Maarten van de Meent

The Kerr spacetime is a fundamental solution of general relativity (GR), describing the gravitational field around a rotating, uncharged black hole (BH). Kerr spacetime has been crucial in modern astrophysics and it serves as a foundation…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Rafael M. Santos , Rafael C. Nunes , Jose C. N. de Araujo

We provide a prescription to solve the metric completion problem in gravitational self-force calculations on a Kerr spacetime by fixing the remaining gauge freedom. We discuss the explicit example of eccentric equatorial orbits, recovering…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Donato Bini , Andrea Geralico

This article will summarize selected aspects of the semiclassical theory of gravity, which involves a classical gravitational field coupled to quantum matter fields. Among the issues which will be discussed are the role of quantum effects…

General Relativity and Quantum Cosmology · Physics 2016-11-23 L. H. Ford

We extend the discussion of the antipodal identification of black holes to the Reissner-Nordstr\"om (RN) spacetime by developing the classical tools necessary to define the corresponding quantum field theory (QFT). We solve the massless…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Nathaniel A. Strauss , Bernard F. Whiting , Anne T. Franzen

The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double copy can be formulated directly in terms of products of fields…

High Energy Physics - Theory · Physics 2022-12-28 Andres Luna , Nathan Moynihan , Chris D. White

In previous works, we developed a perturbative extrapolation formula to obtain gravitational waves at infinity from binary black hole simulations, based on the Regge-Wheeler-Zerilli formalism. In practice, this formula was basically derived…

General Relativity and Quantum Cosmology · Physics 2015-08-21 Hiroyuki Nakano

The wavefunctional in quantum gravity gives an amplitude for 3-geometries and matter fields. The four-space is usually recovered in a semiclassical approximation where the gravity variables are taken to oscillate rapidly compared to matter…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Esko Keski-Vakkuri , Samir D. Mathur

Ingoing and outgoing principal null geodesics in Kerr spacetimes are characterized as part of parametrized families of strings in complex Kerr geometry and are associated with holomorphic curves in twistor space with help of the Kerr…

High Energy Physics - Theory · Physics 2021-12-09 Christian Kunz

We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Donato Bini , Andrea Geralico

This paper explores the Kerr-Schild double copy, a duality relating gravity and electromagnetism. We show how Einstein's vacuum solutions in four dimensions can be converted into Maxwell's solutions via a double copy procedure, employing…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Wen-Xiang Chen , Yao-Guang Zheng

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

We discuss the reconstruction of generic 3+1-dimensional space-time geometries from covariant quantum spaces as backgrounds in the IKKT matrix model. An explicit recipe to realize generic classical geometries is provided. Even though this…

High Energy Physics - Theory · Physics 2022-09-08 Harold C. Steinacker

We determine the metric of a Kerr black hole subject to external tidal fields using metric reconstruction techniques. Working within the Newman-Penrose formalism, we solve the Teukolsky master equation for static, quadrupolar modes…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Marta Cocco , Gianluca Grignani , Troels Harmark , Marta Orselli , David Pereñiguez , Maarten van de Meent

We apply the twistor construction for higher-dimensional black holes to known examples in five space-time dimensions. First the patching matrices are calculated from the explicit metric for these examples. Then an ansatz is proposed for…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Paul Tod , Norman Metzner , Lionel Mason

The simplicity and hidden symmetries of (Super) Yang-Mills and (Super)Gravity scattering amplitudes suggest the existence of a "weak-weak" dual formulation in which these structures are made manifest at the expense of manifest locality. We…

High Energy Physics - Theory · Physics 2015-05-13 Nima Arkani-Hamed , Freddy Cachazo , Clifford Cheung , Jared Kaplan

The multipole moments and the tidal Love numbers of neutron stars and quark stars satisfy certain relations which are almost insensitive to the star's internal structure. A natural question is whether the same relations hold for different…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Paolo Pani

We study the classical double copy for static black string solutions in an Anti--de Sitter (AdS) background. By casting the black string metric into Kerr--Schild form over a cylindrical AdS geometry, we construct the corresponding single…

High Energy Physics - Theory · Physics 2026-02-02 G. Alencar , C. R. Muniz , M. S. Oliveira

This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally…

High Energy Physics - Theory · Physics 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner