The nonlinear graviton.

Physics

Scientific paper

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Scientific paper

A new approach to quantized gravitational theory is suggested. It is argued by analogy with Maxwell theory-and also from a principle that (physical) gravitons should carry space-time curvature-that a free graviton should be describable by a complex solution of Einstein's vacuum equations. For a left-handed graviton (pure helicity state -2 ħ) we require a solution which is of a particular kind, called right-flat, and which is of positive frequency. A construction is given for obtaining all such solutions, in terms of general curved (top halves of) twistor spaces.

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