5 citations · 9 across the 2 of their papers we have counts for
6 papers
Gauge-invariant quadratic approximation of quasi-local mass and its relation with Hamiltonian for gravitational field
Jacek Jezierski, Jerzy Kijowski, Piotr Waluk
Gauge invariant, Hamiltonian formulation of field dynamics within a compact region with boundary is given for the gravitational field linearized over a Kottler met…
Gauge invariant description of weak gravitational field on a spherically symmetric background with cosmological constant
Jacek Jezierski, Piotr Waluk
We present a formalism for analysis of linear Cauchy data on a Kottler metric. Our method removes redundancy due to gauge transformations and constraints. A set of four gauge-invar…
Spacetimes foliated by non-expanding and Killing horizons: higher dimension
Jerzy Lewandowski, Adam Szereszewski, Piotr Waluk
The theory of non-expanding horizons (NEH) geometry and the theory of near horizon geometries (NHG) are two mathematical relativity frameworks generalizing the black hole theory. F…
When Isolated Horizons met Near Horizon Geometries
Jerzy Lewandowski, Adam Szereszewski, Piotr Waluk
There are two mathematical relativity frameworks generalizing the black hole theory: the theory of isolated horizons (IH) and the theory of near horizon geometries (NHG). We outlin…
Wigner function of a qubit
Jerzy Kijowski, Piotr Waluk, Katarzyna Senger
We show that real polarization method can be effectively used to geometrically quantize physical systems with compact phase space, like the spin. Our method enables us to construct…
Proof of Positive Energy Theorem by spacetime foliations
Jacek Jezierski, Piotr Waluk
Here we present an alternative approach, requiring only basic tools of differential geometry. This method was conceived by Kijowski and first presented during the IV Marcel Grossma…