Non-self-dual nonlinear gravitons

Details Non-self-dual nonlinear gravitons Non-self-dual nonlinear gravitons

Jul 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..621y&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 7, pp.621-627

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7

Scientific paper

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 α 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).

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