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Related papers: Orbits in a non-Kerr Dynamical System

200 papers

We study the gravitational waveforms generated by critical, equatorial plunging geodesics of the Kerr metric that start from an unstable-circular-orbit, which describe the test-mass limit of spin-aligned eccentric black-hole mergers. The…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Guglielmo Faggioli , Maarten van de Meent , Alessandra Buonanno , Gaurav Khanna

Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Nicholas Loutrel , Justin L. Ripley , Elena Giorgi , Frans Pretorius

This is the first of two papers on computing the self-force in a radiation gauge for a particle moving in circular, equatorial orbit about a Kerr black hole. In the EMRI (extreme-mass-ratio inspiral) framework, with mode-sum…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Abhay G. Shah , John L. Friedman , Tobias S. Keidl

We have studied numerically the shadows of a non-Kerr rotating compact object with quadrupole mass moment, which belongs to Manko-Novikov family. The non-integrable photon motion caused by quadrupole mass moment affects sharply the shadow…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Mingzhi Wang , Songbai Chen , Jiliang Jing

We consider the motion of classical spinning test particles in Schwarzschild and Kerr metrics and investigate innermost stable circular orbits (ISCO). The main goal of this work is to find analytically the small-spin corrections for the…

General Relativity and Quantum Cosmology · Physics 2015-05-25 Paul I. Jefremov , Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

In this work, we examine the influence of nonlinear electrodynamics (NED) and $f(R,T)$ gravity on quasi-periodic oscillations (QPOs) around a magnetically charged black hole. By analyzing the effective potential, specific energy, and…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Bidyut Hazarika , Abhishek Baruah , Prabwal Phukon

We study equatorial closed orbits in a popular black bounce model to see if the internal structure of these objects could lead to peculiar observable features. Paralleling the analysis of the Schwarzschild and Kerr metrics, we show that in…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Anderson Bragado , Gonzalo J. Olmo

We consider weakly non-linear gravitational perturbations of a near-extremal Kerr black hole governed by the second order vacuum Einstein equation. Using the GHZ formalism [Green et al., Class. Quant. Grav. 7(7):075001, 2020], these are…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Claudio Iuliano , Stefan Hollands , Stephen R. Green , Peter Zimmerman

Extreme-mass-ratio-inspiral (EMRI) is one of the most important sources for the future space-borne gravitational wave detectors. In such kind of systems, the compact objects usually orbit around the central supermassive black holes with…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Chen Zhang , Wen-Biao Han , Shu-Cheng Yang

Recent gravitational wave observations and shadow imaging have demonstrated the astonishing consistency of the Kerr paradigm despite all the special symmetries assumed in deriving the Kerr metric. Hence, it is crucial to test the presence…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Rajes Ghosh , Kabir Chakravarti

We study eccentric equatorial orbits of a test-body around a Kerr black hole under the influence of gravitational radiation reaction. We have adopted a well established two-step approach: assuming that the particle is moving along a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kostas Glampedakis , Daniel Kennefick

Rotating black holes are prevalent in astrophysical observations, and a Kerr-like solution that incorporates quantum gravity effects is essential for constructing realistic models. In this work, we analyze the geodesic motion of massive…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Zhiyang Guo , Chen Lan , Yan Liu

The nonlinear stability of Kerr-Newman black holes (KNBHs) is investigated by performing numerical simulations within the full Einstein-Maxwell theory. We take as initial data a KNBH with mass $M$, angular momentum to mass ratio $a$ and…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-11-16 G. G. L. Nashed , Kazuharu Bamba

In a quantum theory of gravity, a renormalization group improved Kerr metric is obtained from the Kerr metric, where the Newton gravitational constant is modified as a function of the radial distance. The motion of neutral test particles in…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Junjie Lu , Xin Wu

In the work, we have presented detailed analyses of the event horizon and curvature properties of spacetime around a regular black hole in modified gravity so-called regular MOG black hole. The motion of neutral, electrically charged and…

General Relativity and Quantum Cosmology · Physics 2020-10-27 Javlon Rayimbaev , Pulat Tadjimuratov , Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Malika Khudoyberdieva

This is the last part of our proof of the nonlinear stability of the Kerr family for small angular momentum, i.e $|a|/m\ll 1$, in which we deal with the nonlinear wave type estimates needed to complete the project. More precisely we provide…

Analysis of PDEs · Mathematics 2022-05-31 Elena Giorgi , Sergiu Klainerman , Jeremie Szeftel

Astrophysical black hole candidates are thought to be the Kerr black hole predicted by General Relativity. In order to confirm the Kerr-nature of these objects, we need to probe the geometry of the space-time around them and see if the…

General Relativity and Quantum Cosmology · Physics 2012-09-12 Cosimo Bambi

We propose a quantum model of spinning black holes with the integrable ring singularities. For the charged Kerr-Newman quantum metric, the complete regularization takes place at fixing of the maximal (cut-off) energy of gravitons,…

General Relativity and Quantum Cosmology · Physics 2024-02-26 V. P. Neznamov , S. Yu. Sedov , V. E. Shemarulin

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