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Related papers: Kerr-CFT and gravitational perturbations

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Post-adiabatic models of extreme- and intermediate-mass-ratio inspirals will require calculations of second-order gravitational self-force effects in the spacetime of a spinning, Kerr black hole. We take a step toward such calculations by…

General Relativity and Quantum Cosmology · Physics 2024-11-04 Patrick Bourg , Benjamin Leather , Marc Casals , Adam Pound , Barry Wardell

We study gravitational perturbations on the near-horizon region of extremal and near-extremal rotating black holes in a general higher-derivative extension of Einstein gravity. We find a decoupled modified Teukolsky equation that rules the…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Pablo A. Cano , Marina David

We present a novel approach, $\textit{Metric pErTuRbations wIth speCtral methodS}$ (METRICS), to calculate the gravitational metric perturbations and the quasinormal-mode frequencies of rotating black holes of any spin without decoupling…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

The excitation of quadratic quasinormal modes is an important nonlinear phenomenon for a Kerr black hole ringing at a specific linear mode. The amplitude of this second-order effect is proportional to the square of the linear mode…

General Relativity and Quantum Cosmology · Physics 2024-05-27 Sizheng Ma , Huan Yang

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

We use the frequency and time domain Teukolsky formalism to calculate gravitational-wave fluxes from a spinning body on a bound eccentric equatorial orbit around a Kerr black hole. The spinning body is represented as a point particle…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We derive gravitational waves in a theory with non-local curvature corrections to the Hilbert-Einstein Lagrangian. In addition to the standard two massless tensor modes, with plus and cross polarizations, helicity 2 and angular frequency…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Salvatore Capozziello , Maurizio Capriolo

We prove a key result regarding the mass and angular momentum content of linear vacuum perturbations of the Kerr metric obtained through the formalism developed by Chrzarnowski, Cohen, and Kegeles (CCK). More precisely we prove that the…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Maarten van de Meent

We study perturbations of a scalar field cosmology in Horava-Lifshitz gravity, adopting the most general setup without detailed balance but with the projectability condition. We derive the generalized Klein-Gordon equation, which is…

High Energy Physics - Theory · Physics 2010-04-27 Anzhong Wang , David Wands , Roy Maartens

We construct the Kerr/CFT correspondence for extremal Kerr--Bertotti--Robinson (Kerr--BR) black holes, which are exact stationary solutions of the Einstein--Maxwell equations describing a rotating black hole immersed in a uniform…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Haryanto M. Siahaan

In the low-energy limit, the near region of a generic Kerr black hole has been conjectured to be holographically dual to a two-dimensional conformal field theory. In this paper, we consider a test object orbiting in the near region of a…

High Energy Physics - Theory · Physics 2024-11-07 Jun Nian , Weijie Tian

We study second order gravitational perturbations on plane wave spacetimes from both the metric and curvature perturbation points of view. For the former, we explicitly use the isometries of the background to introduce tensor oscillator…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Kwinten Fransen , David Pereñiguez , Jaime Redondo-Yuste

Scalar, vector and tensor perturbations on the Kerr spacetime are governed by equations that can be solved by separation of variables, but the same is not true in generic stationary and axisymmetric geometries. This complicates the…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Rajes Ghosh , Nicola Franchini , Sebastian H. Völkel , Enrico Barausse

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

We perform detailed investigation of cosmological perturbations in f(T) theory of gravity coupled with scalar field. Our work emphasizes on the way to gauge fix the theory and we examine all possible modes of perturbations up to second…

General Relativity and Quantum Cosmology · Physics 2013-06-24 Keisuke Izumi , Yen Chin Ong

The aim of this paper is to present a general way to calculate quasi-normal modes (QNM) of the Teukolsky equation for higher dimensional (d > 4) Kerr spacetime with compactified extra dimensions. In order to do so, we develop a formalism…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Mattia Villani

We consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Tiberiu Harko , Francisco S. N. Lobo , Shin'ichi Nojiri , Sergei D. Odintsov

We study the quasi-normal modes of a massless scalar field in a general sub-extreme Kerr back- ground by exploiting the hidden SL(2, R) x SL(2, R) x SO(3) symmetry of the subtracted geometry approximation. This faithfully models the near…

General Relativity and Quantum Cosmology · Physics 2014-04-02 M. Cvetic , G. W. Gibbons

We study the dynamics of odd-parity perturbations on a static and spherically symmetric black hole background with a timelike vector field based on the effective field theory (EFT) approach. We derive the quadratic Lagrangian written in…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Shogo Tomizuka , Hajime Kobayashi , Naritaka Oshita , Kazufumi Takahashi , Shinji Mukohyama

Quasinormal modes characterize the final stage of a black hole merger. In this regime, spacetime curvature is high, these modes can be used to probe potential corrections to general relativity. In this paper, we utilize the effective field…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Filipe S. Miguel
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