4 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…
On the canonical energy of weak gravitational fields with a cosmological constant
P. T. Chruściel, Sk J. Hoque, M. Maliborski +1
We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the ass…
Energy of weak gravitational waves in spacetimes with a positive cosmological constant
P. T. Chruściel, Sk Jahanur Hoque, Tomasz Smołka
We derive a formula for the total canonical energy, and its flux, of weak gravitational waves on a de Sitter background.
Simple description of generalized electromagnetic and gravitational hopfions
Tomasz Smołka, Jacek Jezierski
The generalization of electromagnetic and gravitational hopfions is performed in terms of a complex scalar field. New definition of topological charge for linearized gravity is giv…