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We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

The velocity distribution of neighbouring stars is deduced from the Hipparcos proper motions. We have used a classical Schwarzschild decomposition and also developed a dynamical model for quasi-exponential stellar discs. This model is a 3-D…

Astrophysics · Physics 2007-05-23 O. Bienaymé

In galactic nuclei, the gravitational potential is dominated by the central supermassive black hole, so stars follow quasi-Keplerian orbits. These orbits are distorted by gravitational forces from other stars, leading to long-term orbital…

Astrophysics of Galaxies · Physics 2022-09-14 Jean-Baptiste Fouvry , Walter Dehnen , Scott Tremaine , Ben Bar-Or

The search for solutions of Einstein's equations representing relativistic cosmological models with a discrete matter content has been remarkably fruitful in the last decade. In this review we discuss the progress made in the study of a…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Eloisa Bentivegna , Timothy Clifton , Jessie Durk , Mikołaj Korzyński , Kjell Rosquist

The success of the moving puncture method for the numerical simulation of black hole systems can be partially explained by the properties of stationary solutions of the 1+log coordinate condition. We compute stationary 1+log slices of the…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Bernd Bruegmann

Observations of the S-stars, the cluster of young stars in the inner 0.1 pc of the Galactic Center, have been crucial in providing conclusive evidence for a supermassive black hole at the center of our galaxy. Since some of the stars have…

Astrophysics of Galaxies · Physics 2023-07-28 Sóley Ó. Hyman , Dimitrios Psaltis , Feryal Özel

In the present work we have developed a three-dimensional gravitational model of barred galaxies, in order to study orbital and escape dynamics of the stars inside their central barred region. Our gravitational model is composed of four…

Astrophysics of Galaxies · Physics 2021-09-29 Debasish Mondal , Tanuka Chattopadhyay

We present a wave generalization of the classic Schwarzschild method for constructing self-consistent halos -- such a halo consists of a suitable superposition of waves instead of particle orbits, chosen to yield a desired mean density…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-09 Tomer D. Yavetz , Xinyu Li , Lam Hui

Understanding the observations of dynamical tracers and the trajectories of lensed photons at galactic scales within the context of General Relativity (GR), requires the introduction of a hypothetical dark matter dominant component. The…

Astrophysics of Galaxies · Physics 2018-11-28 X. Hernandez , R. A. Sussman , L. Nasser

We take a sample of 24 elliptical and lenticular galaxies previously analysed by the SAURON project using three-integral dynamical models created with Schwarzschild's method, and re-analyse them using the made-to-measure (M2M) method of…

Astrophysics of Galaxies · Physics 2015-06-03 R. J. Long , Shude Mao

Context. Current constraints on distributed matter in the innermost Galactic Centre (such as a cluster of faint stars and stellar remnants, Dark Matter or a combination thereof) based on the orbital dynamics of the visible stars closest to…

Astrophysics of Galaxies · Physics 2024-06-12 Thibault Lechien , Gernot Heißel , Jai Grover , Dario Izzo

Dark matter simulations can serve as a basis for creating galaxy histories via the galaxy-dark matter connection. Here, one such model by Becker (2015) is implemented with several variations on three different dark matter simulations.…

Astrophysics of Galaxies · Physics 2017-02-02 J. D. Cohn

We investigate the pseudospectrum of a Schwarzschild-like spacetime within the framework of black hole perturbation theory to analyze a counterintuitive assertion regarding the instability of quasinormal modes. Recent findings suggest that…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Pedro Henrique Croti Siqueira , Lucas Tobias de Paula , Rodrigo Panosso Macedo , Maurício Richartz

Recent work on the construction of spherical, Axisymmetric and triaxial dynamical models for elliptical galaxies is reviewed briefly, including their role in providing evidence for dark halos and central black holes. The different orbital…

Astrophysics · Physics 2007-05-23 P. T. de Zeeuw , C. M. Carollo

The Schr\"odinger Method is a novel approach for modeling numerically self-gravitating, collisionless systems that may have certain advantages over N-body and phase space methods. In particular, smoothing is part of the dynamics and not…

Astrophysics · Physics 2007-05-23 George Davies , Lawrence M. Widrow

A novel analytical Schwarzschild-like black hole (BH) solution is derived. It exhibits a static BH with a dark matter (DM) halo characterized by a Dehnen-type density profile. This solution could represent an alternative perspective on the…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Uktamjon Uktamov , Sanjar Shaymatov , Bobomurat Ahmedov , Chengxun Yuan

The dynamical properties of spherically symmetric galaxy models, where a Jaffe (1983) stellar density profile is embedded in a total mass density decreasing as $r^{-3}$ at large radii, are presented. The orbital structure of the stellar…

Astrophysics of Galaxies · Physics 2019-10-02 L. Ciotti , A. Mancino , S. Pellegrini

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

Exact analytic expressions for planetary orbits and light trajectories in the Schwarzschild geometry are presented. A new parameter space is used to characterize all possible planetary orbits. Different regions in this parameter space can…

General Relativity and Quantum Cosmology · Physics 2010-04-30 F. T. Hioe , David Kuebel

A modification to the vis-viva equation that accounts for general relativistic effects is introduced to enhance the accuracy of predictions of orbital motion and precession. The updated equation reduces to the traditional vis-viva equation…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Qi Peng , Shuichiro Yokoyama , Kiyotomo Ichiki