62 citations · 729 across the 63 of their papers we have counts for
5 papers · 1 filter
Construction of vacuum initial data by the conformally covariant split system
Patryk Mach, Yaohua Wang, Naqing Xie
Using the implicit function theorem, we prove existence of solutions of the so-called conformally covariant split system on compact 3-dimensional Riemannian manifolds. They give ri…
Two mass conjectures on axially symmetric black hole--disk systems
Wojciech Kulczycki, Patryk Mach, Edward Malec
We analyze stationary self-gravitating disks around spinning black holes that satisfy the recently found general-relativistic Keplerian rotation law. There is a numerical evidence…
Relativistic Low Angular Momentum Accretion: Long Time Evolution of Hydrodynamical Inviscid Flows
Patryk Mach, Michał Piróg, José A. Font
We investigate relativistic low angular momentum accretion of inviscid perfect fluid onto a Schwarzschild black hole. The simulations are performed with a general-relativistic, hig…
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…
Rotating Bowen-York initial data with a positive cosmological constant
Patryk Mach, Jerzy Knopik
A generalization of the Bowen-York initial data to the case with a positive cosmological constant is investigated. We follow the construction presented recently by Bizoń, Pletka an…