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Vacuum perturbations of the Kerr metric can be reconstructed from the corresponding perturbation in either of the two Weyl scalars $\psi_0$ or $\psi_4$, using a procedure described by Chrzanowski and others in the 1970s. More recent work,…

广义相对论与量子宇宙学 · 物理学 2016-12-06 Cesar Merlin , Amos Ori , Leor Barack , Adam Pound , Maarten van de Meent

In this paper we develop further a method for detecting unstable periodic orbits (UPOs) by stabilising transformations, where the strategy is to transform the system of interest in such a way that the orbits become stable. The main…

混沌动力学 · 物理学 2015-05-13 Jonathan J. Crofts , Ruslan L. Davidchack

A test particle in a noncoplanar orbit about a member of a binary system can undergo Kozai-Lidov oscillations in which tilt and eccentricity are exchanged. An initially circular highly inclined particle orbit can reach high eccentricity. We…

太阳与恒星天体物理 · 物理学 2021-08-04 Stephen H. Lubow

The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the…

广义相对论与量子宇宙学 · 物理学 2020-07-29 Bobir Toshmatov , Ozodbek Rahimov , Bobomurat Ahmedov , Daniele Malafarina

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…

广义相对论与量子宇宙学 · 物理学 2018-11-29 Mingzhi Wang , Songbai Chen , Jiliang Jing

In this paper, we study the geodesic motion in spherically symmetric electro-vacuum Euclidean solutions of the Einstein equation. There are two kinds of such solutions: the Euclidean Reissner-Nordstr\"{o}m (ERN) metrics, and the…

广义相对论与量子宇宙学 · 物理学 2024-04-17 Arthur Garnier

In this paper, we investigate the dynamics of a binary system that orbits a rotating supermassive black hole. Our approach employs Fermi-Walker transport to construct a local inertial reference frame, and to set up a Newtonian binary…

广义相对论与量子宇宙学 · 物理学 2023-10-04 Kei-ichi Maeda , Priti Gupta , Hirotada Okawa

In hierarchical triple systems, the inner binary is slowly perturbed by a distant companion, giving rise to large-scale oscillations in eccentricity and inclination, known as von-Zeipel-Lidov-Kozai (ZLK) oscillations. Stable systems with a…

地球与行星天体物理 · 物理学 2024-12-19 Evgeni Grishin

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…

广义相对论与量子宇宙学 · 物理学 2026-02-06 Torben C. Frost

All black holes (BHs) in nature are expected to be described by the Kerr vacuum solution of general relativity (GR). However, the Kerr BH interior contains several problematic features such as a Cauchy horizon, a curvature singularity, and…

广义相对论与量子宇宙学 · 物理学 2024-10-23 Prashant Kocherlakota , Ramesh Narayan

We study the impact of a non-vanishing (positive) cosmological constant on the innermost and outermost stable circular orbits (ISCOs and OSCOs, respectively) within massive gravity in four dimensions. The gravitational field generated by a…

广义相对论与量子宇宙学 · 物理学 2021-08-04 Angel Rincon , Grigoris Panotopoulos , Ilidio Lopes , Norman Cruz

Compact object binaries formed from dynamics interactions will generically have non-zero orbital eccentricity. The gravitational waves from such binaries can change drastically depending on how large the eccentricity is, ranging from…

广义相对论与量子宇宙学 · 物理学 2021-08-31 Nicholas Loutrel

A significant fraction of compact-object mergers in galactic nuclei are expected to be eccentric in the Laser Interferometer Space Antenna (LISA) frequency sensitivity range, $10^{-4} - 10^{-1}\ \rm Hz$. Several compact binaries detected by…

高能天体物理现象 · 物理学 2026-02-04 Evgeni Grishin , Isobel M. Romero-Shaw , Alessandro A. Trani

We investigate the quantum signature of the innermost stable circular orbit (ISCO), a region of profound importance in black hole astrophysics. By modeling an atom as an Unruh-DeWitt detector coupled to a massless scalar field in the…

广义相对论与量子宇宙学 · 物理学 2025-12-23 Reggie C. Pantig , Ali Övgün

Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain…

广义相对论与量子宇宙学 · 物理学 2024-06-27 Rossella Gamba , Danilo Chiaramello , Sayan Neogi

This paper investigates the orbital dynamics and gravitational wave radiation characteristics of neutral test particles around a static spherically symmetric charged black hole (BH) in 4D Einstein-Gauss-Bonnet (4D-EGB) gravity theory. We…

广义相对论与量子宇宙学 · 物理学 2026-05-05 Liping Meng , Zhaoyi Xu , Meirong Tang

We present a generalization of previous results regarding the stability under gravitational perturbations of nakedly singular super extreme Kerr spacetime and Kerr black hole interior beyond the Cauchy horizon. To do so we study solutions…

广义相对论与量子宇宙学 · 物理学 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

Equilibria of binary neutron stars in close circular orbits are computed numerically in a waveless formulation: The full Einstein-relativistic-Euler system is solved on an initial hypersurface to obtain an asymptotically flat form of the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

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…

广义相对论与量子宇宙学 · 物理学 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

A new six-parametric, axisymmetric and asymptotically flat exact solution of Einstein-Maxwell field equations having reflection symmetry is presented. It has arbitrary physical parameters of mass, angular momentum, mass--quadrupole moment,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Leonardo. A. Pachon , Jorge A. Rueda , Jose D. Sanabria-Gomez