Hydrodynamic Equilibrium and Structures of Compact Objects

Tidal disruption events (TDEs) occur when stars can no longer maintain hydrodynamic equilibrium as it begins to accrete onto compact supermassive objects. During this process, matter ejection takes place out of the object, and the constituent particles transferred to the compact objects fall in to circular orbit around their individual centers with various energies. Using the standard equations of fluid motion, we can determine the energies of each species of particle during accretion with the goal of determining when the equations of motion produce a solution, and which solutions lead to the specific conditions under which the star destabilizes. We compute these solutions to identify and further investigate the corresponding compact objects.