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The Barrab\`es-Israel theory of light-like shells in General Relativity isused to show explicitly that in general a light-like shell is accompanied by animpulsive gravitational wave. The gravitational wave is identified by itsPetrov Type N contribution to a Dirac delta-function term in the Weyl conformalcurvature tensor (with the delta-function singular on the null hypersurfacehistory of the wave and shell). An example is described in which anasymptotically flat static vacuum Weyl space-time experiences a sudden changeacross a null hypersurface in the multipole moments of its isolated axiallysymmetric source. A light-like shell and an impulsive gravitational wave areidentified, both having the null hypersurface as history. The stress-energy inthe shell is dominated (at large distance from the source) by the jump in themonopole moment (the mass) of the source with the jump in the quadrupole momentmainly responsible for the stress being anisotropic. The gravitational waveowes its existence principally to the jump in the quadrupole moment of thesource confirming what would be expected.Comment: 26 pages, tex, no figures, to appear in Phys.Rev.

Some physical consequences of abrupt changes in the multipole moments of a gravitating body