The high rotational velocities and strong gravitational fields
present in compact objects demands the introduction of relativity
into the time-dependent dynamics. Since the emission of
gravitational-radiation removes mass and angular momentum from
the system under investigation, the effects of these gravitational
radiation losses need to be incorporated into the system dynamics.
Since standard Newtonian theory conserves energy and angular
momentum, I have modified the SPH hydrodynamics code to remove
the appropriate amount of these quantities at the same rate which
they are removed due to the emission of gravitational waves. This
back-reaction will affect the system
dynamics and will enable the study of the relatively-unexplored
effects of secular instabilities (i.e., those driven by
slow dissipative effects such as viscosity and gravitational
radiation) on stellar cores and coalescing neutron-star binaries.
Systems currently under study: