Nonlinear Effects of Gravitational Radiation

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Abstract
It is shown that the cumulative effects of the nonlinear terms in Einstein's equations rule out the possibility of stable small oscillations of a gravitational field about an equilibrium state, if the latter is supposed to be Minkowskian at infinity. The perturbation, if unlimited in time, rather tends to take infinite values at large distances from its source. This can be interpreted as an instability of gravitational radiation fields, and raises doubts concerning the validity of the linearized theory at large distances from the source.

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