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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In general relativity, the pp-wave spacetimes, or pp-waves for short, are an important family of exact solutions of Einstein''s field equationA special type of pp-wave spacetime, the plane wave spacetimes, provide the most general analog in general relativity of the plane waves familiar to students of electromagnetism. In particular, in general relativity, we must take into account the gravitational effects of the energy density of the electromagnetic field itself. When we do this, purely electromagnetic plane waves provide the direct generalization of ordinary plane wave solutions in Maxwell''s theory.