45 citations · 517 across the 42 of their papers we have counts for
42 papers
Quasi-local mass on rigid or round spheres in Kerr spacetime
Jacek Jezierski, Tomasz Smołka
We introduce and analyze quasi-local mass using Hamiltonian methods. It is based on multipole decomposition for surfaces that are topological spheres. Based on the above model, tes…
Hopfion-like solutions in de Sitter spacetime
Adam Grzela, Jacek Jezierski, Tomasz Smołka
We construct electromagnetic field with non-trivial topological properties on de Sitter background. The field is closely related with Hopf fibration. We analyze energy, angular mom…
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…
Quasi-local instantaneous charges asymptotics at spatial infinity
Jacek Jezierski, Tomasz Smołka
The article aims to analyze a construction of charges (conserved quantities) for the gravity field in the (3+1) decomposition. The construction is based on (3+1) splitting of confo…
Localizing Energy in Fierz-Lanczos theory
Jacek Jezierski, Jerzy Kijowski, Marian Wiatr
We calculate energy carried by the massless spin-2 field using Fierz-Lanczos representation of the theory. For this purpose Hamiltonian formulation of the field dynamic is thorough…
Charges of the gravitational field and (3+1) decomposition of CYK tensors part 2
Jacek Jezierski, Szymon Migacz
The work describes the method of construction of charges (conserved quantities) for the gravity field in the (3 + 1) decomposition. The presented construction uses tensors of the e…