Electronic Resource
Springer
General relativity and gravitation
14 (1982), S. 621-627
ISSN:
1572-9532
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract 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).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00761453
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