70 citations · 325 across the 12 of their papers we have counts for
12 papers
Optical drift effects in general relativity
Mikołaj Korzyński, Jarosław Kopiński
We consider the question of determining the optical drift effects in general relativity, i.e. the rate of change of the apparent position, redshift, Jacobi matrix, angular distance…
Nonlinear effects of general relativity from multiscale structure
Mikołaj Korzyński
When do the nonlinear effects of general relativity matter in astrophysical situations? They are obviously relevant for very compact sources of the gravitational field, such as neu…
Evolution of a family of expanding cubic black-hole lattices in numerical relativity
Eloisa Bentivegna, Mikolaj Korzynski
We present the numerical evolution of a family of conformally-flat, infinite, expanding cubic black-hole lattices. We solve for the initial data using an initial-data prescription…
Evolution of a periodic eight-black-hole lattice in numerical relativity
Eloisa Bentivegna, Mikolaj Korzynski
The idea of black-hole lattices as models for the large-scale structure of the universe has been under scrutiny for several decades, and some of the properties of these systems hav…
Isometric embeddings of 2-spheres by embedding flow for applications in numerical relativity
Michael Jasiulek, Mikolaj Korzynski
We present a numerical method for solving Weyl's embedding problem which consists of finding a global isometric embedding of a positively curved and positive-definite spherical 2-m…
Coarse-graining of inhomogeneous dust flow in General Relativity via isometric embeddings
Mikolaj Korzynski
We present a new approach to coarse-graining of variables describing dust flow in GR. It is based on assigning quasi-local shear, twist and expansion to 2-dimensional surfaces with…
Covariant coarse-graining of inhomogeneous dust flow in General Relativity
Mikolaj Korzynski
A new definition of coarse-grained quantities describing the dust flow in General Relativity is proposed. It assigns the coarse--grained expansion, shear and vorticity to finite-si…
Quasi--local angular momentum of non--symmetric isolated and dynamical horizons from the conformal decomposition of the metric
Mikolaj Korzynski
A new definition of quasi--local angular momentum of non--axisymmetric marginally outer trapped surfaces is proposed. It is based on conformal decomposition of the two--dimensional…
Isolated and dynamical horizons from a common perspective
Mikolaj Korzynski
A framework is developed in which one can write down the constraint equations on a three--dimensional hypersurface of arbitrary signature. It is then applied to isolated and dynami…
Singular disk of matter in the Cooperstock-Tieu galaxy model
Mikolaj Korzynski
Recently a new model of galactic gravitational field, based on ordinary General Relativity, has been proposed by Cooperstock and Tieu in which no exotic dark matter is needed to fi…
Mechanics of multidimensional isolated horizons
M. Korzynski, J. Lewandowski, T. Pawlowski
Recently a multidimensional generalization of Isolated Horizon framework has been proposed by Lewandowski and Pawlowski (gr-qc/0410146). Therein the geometric description was easil…
The Normal Conformal Cartan Connection and the Bach Tensor
Mikolaj Korzynski, Jerzy Lewandowski
The goal of this paper is to express the Bach tensor of a four dimensional conformal geometry of an arbitrary signature by the Cartan normal conformal (CNC) connection. We show tha…