Gravity seminar - Kostas Glampedakis [ONLINE] Seminar

Abstract: Symmetries and conservation laws associated with the ideal GR-MHD system, for stationary and  axisymmetric stars, can be utilised to define a set of flow constants (also known as Bekenstein-Oron constants). This talk provides a discussion of these constants and their impact on the physics of MHD equilibria of neutron stars. One important and surprising corollary of their existence is that mixed poloidal-toroidal fields are inconsistent with the absence of meridional flows except in some singular sense. As an application of the flow constant formalism, we present numerical solutions of multipolar magnetic field equilibria, where strict power-counting of the flow constants is used to ensure a self-consistent treatment.