3 papers
gr-qc2024
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…
gr-qc2024
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…
gr-qc2023
Hamiltonian charges on light cones for linear field theories on (A)dS backgrounds
Piotr T. Chruściel, Tomasz Smołka
We analyse the Noether charges for scalar and Maxwell fields on light cones on a de Sitter, Minkowski, and anti-de Sitter backgrounds. Somewhat surprisingly, under natural asymptot…