Non-self-dual nonlinear gravitons Academic Article uri icon


  • Penrose has given a twistor description of all self-dual complex Riemannian space-times. We modify his construction to characterize all complex Riemannian space-times and all complex teleparallel space-times. This construction may be useful in finding non-self-dual solutions to the gravitational field equations (Einstein's or otherwise) without or with sources. It may also lead to a nonperturbative method for computing path integrals. Whereas Penrose shows that a self-dual space-time may be specified by a deformation of projective twistor space (the set of planes in complex Minkowski space), we find that a Riemannian or teleparallel space-time may be described by a deformation of projective ambitwistor space (the set of null geodesics in complex Minkowski space). 1982 Plenum Publishing Corporation.

published proceedings

  • General Relativity and Gravitation

author list (cited authors)

  • Yasskin, P. B., & Isenberg, J. A.

citation count

  • 8

complete list of authors

  • Yasskin, Philip B||Isenberg, James A

publication date

  • July 1982