Abstract

Asymptotically flat, dynamic, axially symmetric space-times are considered from the point of view of the characteristic initial value problem and the expansion of solutions in powers of r−1. Imposing conditions such that the system initially be exactly static and nonradiative finally, a news function is constructed which governs the dynamics of such a space-time and which yields a finite, nonvanishing total loss of the Bondi mass. Furthermore, the Riemann tensor (to order r−3) is known explicitly for all time since an expression for the mass aspect is also determined. It is also shown that the total change in the asymptotic shear is related to the total change in the Bondi mass. Finally the implications concerning transitions between two exactly stationary states are discussed.

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