62 citations · 729 across the 63 of their papers we have counts for
5 papers · 1 filter
Planar domain walls in black hole spacetimes
Filip Ficek, Patryk Mach
We investigate the behaviour of low-mass, planar domain walls in the so-called model of the scalar field on the Schwarzschild and Kerr backgrounds. We focus on a transit of a…
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 marginally outer trapped surfaces in closed Friedmann-Lemaitre-Robertson-Walker spacetimes: Stability and isoperimetric inequalities
Patryk Mach, Naqing Xie
We investigate toroidal Marginally Outer Trapped Surfaces (MOTS) and Marginally Outer Trapped Tubes (MOTT) in closed Friedmann-Lemaitre-Robertson-Walker (FLRW) geometries. They are…
The shape of a rapidly rotating polytrope with index unity
Jerzy Knopik, Patryk Mach, Andrzej Odrzywolek
We show that the solutions obtained in the paper `An exact solution for arbitrarily rotating gaseous polytropes with index unity' by Kong, Zhang, and Schubert represent only approx…
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…