General-relativistic versus Newtonian: Geometric dragging and dynamic antidragging in stationary self-gravitating disks in the first post-Newtonian approximation

P Jaranowski, P Mach, E Malec, M Piróg - Physical Review D, 2015 - APS
We evaluate general-relativistic effects in the motion of stationary self-gravitating accretion
disks around a Schwarzschild black hole, assuming the first post-Newtonian (1PN) …

Rotating systems, universal features in dragging and antidragging effects, and bounds of angular momentum

J Karkowski, P Mach, E Malec, M Piróg, N Xie - Physical Review D, 2016 - APS
We consider stationary, axially symmetric toroids rotating around spinless black holes,
assuming the general-relativistic Keplerian rotation law, in the first post-Newtonian …

Myers-Perry black hole in an external gravitational field

S Abdolrahimi, J Kunz, P Nedkova - Physical Review D, 2015 - APS
We obtain a new exact solution of the 5D Einstein equations in vacuum describing a
distorted Myers-Perry black hole with a single angular momentum. Locally, the solution is …

A variational principle for stationary, axisymmetric solutions of Einstein's equations

S Dain - Classical and Quantum Gravity, 2006 - iopscience.iop.org
Stationary, axisymmetric, vacuum, solutions of Einstein's equations are obtained as critical
points of the total mass among all axisymmetric and (t, ϕ) symmetric initial data with fixed …

Negative Komar mass of single objects in regular, asymptotically flat spacetimes

M Ansorg, D Petroff - Classical and Quantum Gravity, 2006 - iopscience.iop.org
We study two types of axially symmetric, stationary and asymptotically flat spacetimes using
highly accurate numerical methods. One type contains a black hole surrounded by a perfect …

An improved method for constructing models of self-gravitating tori around black holes

N Stergioulas - International Journal of Modern Physics D, 2011 - World Scientific
General-relativistic models of self-gravitating tori around black holes are constructed with a
self-consistent-field method in compactified coordinates. The numerical code is highly …

A ring model of the main asteroid belt for planetary ephemerides

S Liu, A Fienga, J Yan - Icarus, 2022 - Elsevier
Abstract Perturbations in the Main Belt Asteroids (MBAs) are the major obstacle for
achieving increased prediction accuracy in planetary ephemerides, especially for Mars, as …

Quasiperiodic oscillations from the accretion disk around distorted black holes

E Deligianni, J Kunz, P Nedkova - Physical Review D, 2020 - APS
We study the quasiperiodic oscillations from the accretion disk around the distorted
Schwarzschild black hole in the framework of the resonant models. We confine ourselves to …

Perturbation of a Schwarzschild black hole due to a rotating thin disk

P Čížek, O Semerák - The Astrophysical Journal Supplement …, 2017 - iopscience.iop.org
Will, in 1974, treated the perturbation of a Schwarzschild black hole due to a slowly rotating,
light, concentric thin ring by solving the perturbation equations in terms of a multipole …

General relativistic self-gravitating equilibrium disks around rotating neutron stars

Y Kim, J Kim, HI Kim, HM Lee - arXiv preprint arXiv:2406.00945, 2024 - arxiv.org
In modeling a relativistic disk around a compact object, the self-gravity of the disk is often
neglected while it needs to be incorporated for more accurate descriptions in several …