The nonlinear graviton in interaction with a photon.

Computer Science

Scientific paper

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Relativity:Space-Time

Scientific paper

It is shown that Einstein-Maxwell complex space-times with self-(anti-self-) dual Weyl tensor and algebraically general anti-self-(self-) dual Maxwell tensor are completely characterized as quasi-Kählerian space-times with vanishing scalar curvature. Following Penrose's interpretation ofH-spaces, we propose that an “electrifiedH-space” be interpreted as a nonlinear graviton in interaction with a photon. Two families of exact solutions are presented as examples.

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