A new class of obstructions to the smoothness of null infinity

@inproceedings{ValienteKroon2002ANC,
  title={A new class of obstructions to the smoothness of null infinity},
  author={Juan Antonio Valiente-Kroon},
  year={2002}
}
Expansions of the gravitational field arising from the development of asymptotically Euclidean, time symmetric, conformally flat initial data are calculated in a neighbourhood of spatial and null infinities up to order 6. To this ends a certain representation of spatial infinity as a cylinder is used. This set up is based on the properties of conformal geodesics. It is found that these expansions suggest that null infinity has to be non-smooth unless the Newman-Penrose constants of the… CONTINUE READING

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