62 citations · 304 across the 26 of their papers we have counts for
26 papers
Self-gravitating axially symmetric disks in general-relativistic rotation
Janusz Karkowski, Wojciech Kulczycki, Patryk Mach +3
We integrate numerically axially symmetric stationary Einstein equations describing self-gravitating disks around spinless black holes. The numerical scheme is based on a method de…
General-relativistic rotation: self-gravitating fluid tori in motion around black holes
Janusz Karkowski, Wojciech Kulczycki, Patryk Mach +3
We obtain from the first principles a general-relativistic Keplerian rotation law for self-gravitating disks around spinning black holes. This is an extension of a former rotation…
Toroidal trapped surfaces and isoperimetric inequalities
Janusz Karkowski, Patryk Mach, Edward Malec +2
We analytically construct an infinite number of trapped toroids in spherically symmetric Cauchy hypersurfaces of the Einstein equations. We focus on initial data which represent "c…
Rotating systems, universal features in dragging and anti-dragging effects, and bounds onto angular momentum
Janusz Karkowski, Patryk Mach, Edward Malec +2
We consider stationary, axially symmetric toroids rotating around spinless black holes, assuming the general-relativistic Keplerian rotation law, in the first post-Newtonian approx…
Spherical steady accretion flows -- dependence on the cosmological constant, exact isothermal solutions and applications to cosmology
Patryk Mach, Edward Malec, Janusz Karkowski
We investigate spherical, isothermal and polytropic steady accretion models in the presence of the cosmological constant. Exact solutions are found for three classes of isothermal…
Bondi accretion onto cosmological black holes
Janusz Karkowski, Edward Malec
In this paper we investigate a steady accretion within the Einstein-Straus vacuole, in the presence of the cosmological constant. The dark energy damps the mass accretion rate and…