Approximate H spaces

Mathematics – Complex Variables

Scientific paper

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Asymptotic Methods, Manifolds (Mathematics), Relativity, Space-Time Functions, Complex Variables, Function Space, Shear Properties, Spherical Harmonics, Tensors

Scientific paper

It is shown how, for a wide class of asymptotically flat space-times, it
is possible to solve the equation for asymptotically shear-free complex
null cones (the good-cut equation) to first approximation. In this way,
first-order H spaces (four-complex-dimensional manifolds) and associated
first-order asymptotic projective twistor spaces can be obtained.

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