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It has been argued that the energy content in time varying spacetimes can beobtained by using the approximate Lie symmetries of the geodesics equations inthat spacetime. When applied to cylindrical gravitational waves, it gives aself-damping of the waves. According to this proposal the energy of the wavesgo to zero asymptotically as the radial distance to the two-thirds power. Iftrue, this would mean that the estimates for the sensitivity of the detectorsfor the various sources would have to be revised

Gravitational Wave Sources May Be "Further" Than We Think