The transition of a gravitationally radiating, dissipative fluid to equilibrium
We describe the transition of a gravitationally radiating, axially and reflection symmetric, dissipative fluid to a non-radiating state. It is shown that very shortly after the end of the radiating regime, at a time scale on the order of the thermal relaxation time, the thermal adjustment time, or the hydrostatic time (whichever is larger), the system reaches the equilibrium state. This result is at variance with all the studies carried out in the past on gravitational radiation outside the source, which strongly suggest that after a radiating period, the conditions for a return to a static case look rather forbidding. As we shall see, the reason for such a discrepancy resides in the fact that some elementary, but essential, physical properties of the source have been overlooked in these latter studies.