We present a new geometrical inequality involving the ADM mass, the angular momentum and the size of an ordinary axially symmetric object. The main tool we use to use to prove it is the monotonicity of the Geroch quasi-local energy along the inverse mean curvature flow. We also compute numerical examples to test the robustness of our hypotheses and results.
Topological defects such as domain walls are present in many Beyond Standard Model theories and cosmological models. We investigate the behaviour of a thick domain wall in the Kerr spacetime. We simulate the transit of a light domain wall through the Kerr black hole to show how this behaviour depends on the domain walls' parameters and the black hole's spin. We also point out the presence of...
I will report on the results of the joint numerical project with J.A. Font and P. Mach. We investigated low angular momentum accretion of inviscid fluids on black holes. The Newtonian calculation in this topic have been already done by D. Proga and M. Begelman. Our work promotes their models to fully relativistic setting. The staring point of those simulations is the Bondi-type accretion...
