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A small mass \mu in orbit about a much more massive black hole M moves along a world line that deviates from a geodesic of the black hole geometry by O(\mu/M). This deviation is said to be caused by the gravitational self-force of the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

Gravitational wave astronomy is an emerging observational discipline that expands the astrophysical messengers astronomers can use to probe cosmic phenomena. The gravitational waveform from a source encodes the astrophysical properties and…

General Relativity and Quantum Cosmology · Physics 2023-03-20 Steven Pakiela , Brett Bolen , Ben Holder , Monica Rizzo , Shane L. Larson

The S-star cluster in the Galactic center allows us to study the physics close to a supermassive black hole, including distinctive dynamical tests of general relativity. Our best estimates for the mass of and the distance to Sgr A* using…

Astrophysics of Galaxies · Physics 2017-08-14 M. Parsa , A. Eckart , B. Shahzamanian , V. Karas , M. Zajacek , J. A. Zensus , C. Straubmeier

We review the current state of dynamical modeling for galaxies in terms of being able to measure both the central black hole mass and stellar orbital structure. Both of these must be known adequately to measure either property. The current…

Astrophysics · Physics 2007-05-23 Karl Gebhardt

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

Stars around a massive black hole (MBH) move on nearly fixed Keplerian orbits, in a centrally-dominated potential. The random fluctuations of the discrete stellar background cause small potential perturbations, which accelerate the…

Astrophysics of Galaxies · Physics 2014-12-04 Ben Bar-Or , Tal Alexander

The motion of superluminal particles in the gravitational field of a non-rotating black hole is analyzed. The relativistic Hamilton-Jacobi equation is solved for particles with imaginary rest mass. It is shown that there are no stable…

General Relativity and Quantum Cosmology · Physics 2013-01-24 V. M. Lipunov

A "temporal analogue" of the standard Poynting-Robertson effect is analyzed as induced by a dust of particles (instead of a gas of photons) surrounding a Schwarzschild black hole. Test particles inside this cloud undergo acceleration…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Donato Bini , Andrea Geralico

An axially symmetric galactic gravitational model composed of a dense, massive and spherical nucleus with an additional dark matter halo component was used, to distinguish between the regular and chaotic character of orbits of stars that…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos , Nicolaos D. Caranicolas

The ringdown phase of gravitational waves emitted by a perturbed black hole is described by a superposition of exponentially decaying sinusoidal modes, called quasinormal modes (QNMs), whose frequencies depend only on the property of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Che-Yu Chen , Petr Kotlařík

We study the geodesic motion of test particles in the space-time of non-compact boson stars. These objects are made of a self-interacting scalar field and -- depending on the scalar field's mass -- can be as dense as neutron stars or even…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Valeria Diemer , Keno Eilers , Betti Hartmann , Isabell Schaffer , Catalin Toma

Orbital motion in triaxial nuclei with central point masses, representing supermassive black holes, is investigated. The stellar density is assumed to follow a power law, rho ~ 1/r^gamma, with gamma=1 or gamma=2. At low energies the motion…

Astrophysics · Physics 2007-05-23 M. Y. Poon , D. Merritt

The mission here is to see if we can find bound states for tachyons in some gravitational environment. That could provide an explanation for the phenomena called Dark Matter. Starting with the standard Schwarzschild metric in General…

General Physics · Physics 2022-09-05 Charles Schwartz

In this paper, we investigate the dynamics and gravitational-wave signatures of periodic orbits of spinning test particles moving in the equatorial plane around static, spherically symmetric black holes within the framework of Deser-Woodard…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Moisés Bravo-Gaete , Jianhui Lin , Yunlong Liu , Xiangdong Zhang

Tremendous progress has been made recently in modelling the morphology and kinematics of centers of galaxies. Increasingly realistic models are built for central bar, bulge, nucleus and black hole of galaxies, including our own. The newly…

Astrophysics · Physics 2009-10-31 HongSheng Zhao

A simple orbit classification constraint extension to stellar dynamical modeling using Schwarzschild's method is demonstrated. The classification scheme used is the existing `orbit circularity' scheme (lambda_z) where orbits are split into…

Astrophysics of Galaxies · Physics 2025-04-24 Richard J. Long

We demonstrate that the nuclei of galaxies containing supermassive black holes can be triaxial in shape. Schwarzschild's method was first used to construct self-consistent orbital superpositions representing nuclei with axis ratios of…

Astrophysics · Physics 2009-11-07 M. Y. Poon , David Merritt

The observation of a pulsar closely orbiting the galactic center supermassive black hole would open the window for an accurate determination of the black hole parameters and for new tests of General Relativity. An important relativistic…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Eva Hackmann , Arnab Dhani

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň