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When a regular classical system is perturbed, non-linear resonances appear as prescribed by the KAM and Poincar\`{e}-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in…

Chaotic Dynamics · Physics 2015-06-18 Diego A. Wisniacki

To investigate how chaos affects gravitational waves, we study the gravitational waves from a spinning test particle moving around a Kerr black hole, which is a typical chaotic system. To compare the result with those in non-chaotic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kenta Kiuchi , Kei-ichi Maeda

The accurate computation of quasinormal modes from rotating black holes beyond general relativity is crucial for testing fundamental physics with gravitational waves. In this study, we assess the accuracy of the eikonal and post-Kerr…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Ciro De Simone , Sebastian H. Völkel , Kostas D. Kokkotas , Vittorio De Falco , Salvatore Capozziello

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

What kinds of motion can occur in classical mechanics? We address this question by looking at the structures traced out by trajectories in phase space; the most orderely, completely integrable systems, are charactrized by phase trajectories…

Dynamical Systems · Mathematics 2016-10-31 Mark Muldoon

The gravitational induced interference is here studied in the framework of Teleparallel Gravity. We derive the gravitational phase difference and we apply the result to the case of a Kerr spacetime. Afterwards, we compute the fringe shifts…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Zhongyou Mo , Leonardo Modesto

To investigate the imprint on the gravitational-wave emission from extreme mass-ratio inspirals in non-pure Kerr spacetimes, we have studied the ``kludge'' waveforms generated in highly-accurate, numerically-generated spacetimes containing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrico Barausse , Luciano Rezzolla , David Petroff , Marcus Ansorg

The future LISA detector will constitute the prime instrument for high-precision gravitational wave observations.LISA is expected to provide information for the properties of spacetime in the vicinity of massive black holes which reside in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Kostas Glampedakis , Stanislav Babak

Extreme-mass-ratio inspirals, in which a stellar-mass object orbits a supermassive black hole, are prime sources of millihertz gravitational waves for upcoming space-based detectors. While most studies assume idealized vacuum backgrounds,…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Kyriakos Destounis , Pedro G. S. Fernandes

In this paper we develop a new framework for non-linear perturbations of the Kerr spacetime. This is based on a characterization of the Kerr spacetime in terms of a Killing spinor. On the perturbed spacetime, one can construct an…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Thomas Bäckdahl

This work elaborates on a detailed analysis of the novel characteristics of gravitational waves (GWs) generated by extreme mass ratio inspirals (EMRIs) within the framework of modified gravity (MOG). Our study begins by exploring the…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Xiongying Qiao , Zhong-Wu Xia , Qiyuan Pan , Hong Guo , Wei-Liang Qian , Jiliang Jing

To fully exploit the capabilities of next-generation gravitational wave detectors, we need to significantly improve the accuracy of our models of gravitational-wave-emitting systems. This paper focuses on one way of doing so: by taking…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Andrew Spiers , Adam Pound , Jordan Moxon

The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

As a first step towards the calculation of waveform of Extreme Mass Ratio Inspirals for Modified Gravity theories, we calculate the orbital frequencies of a Small Compact Object inspiralling into a super massive blackhole for a Nonlocal…

General Relativity and Quantum Cosmology · Physics 2020-08-11 Avani Patel

The detection of gravitational waves from the inspiral of a neutron star or stellar-mass black hole into an intermediate-mass black hole (IMBH) promises an entirely new look at strong-field gravitational physics. Gravitational waves from…

High Energy Astrophysical Phenomena · Physics 2012-05-29 Carl L. Rodriguez , Ilya Mandel , Jonathan R. Gair

The Kerr metric is one of the most important solutions to Einstein's field equations, describing the gravitational field outside a rotating black hole. We thoroughly analyze the curvature scalar invariants to study the Kerr spacetime by…

General Relativity and Quantum Cosmology · Physics 2013-10-10 Majd Abdelqader , Kayll Lake

Future space-borne interferometers will be able to detect gravitational waves at $10^{-3}$ to $10^{-1}$ Hz. At this band extreme-mass-ratio inspirals (EMRIs) can be promising gravitational wave sources. In this paper, we investigate…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Shuo Xin , Wen-Biao Han , Shu-Cheng Yang

General relativity predicts that black holes are described by the Kerr metric, which has integrable geodesics. This property is crucial to produce accurate waveforms from extreme-mass-ratio inspirals. Astrophysical environments,…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Kyriakos Destounis , Federico Angeloni , Massimo Vaglio , Paolo Pani

This work studies the dynamics of geodesic motion within a curved spacetime around a Schwarzschild black hole, perturbed by a gravitational field of a far axisymmetric distribution of mass enclosing the system. This spacetime can serve as a…

General Relativity and Quantum Cosmology · Physics 2023-11-16 Michal Stratený , Georgios Lukes-Gerakopoulos