Twistors and Nearly Autoparallel Maps

Details Twistors and Nearly Autoparallel Maps Twistors and Nearly Autoparallel Maps

1996-02-06

arxiv.org/abs/gr-qc/9602010v1

Rept.Math.Phys. 37 (1996) 309-324

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, latex, to be published in Rep. Math. Phys

Scientific paper

10.1016/0034-4877(96)84070-5

In this work a proposal for definition of twistors on generic curved spaces is exposed and investigated. We consider superpositions of nearly autoparallel and nearly geodesic maps (nearly conformal maps, nc-maps) of (pseudo-)Riemannian spaces as generalizations of conformal transforms. We introduce the nearly autoparallel twistor equations being compatible on nc-flat spaces and study nearly autoparallel twistor structures generating curved spaces and vacuum Einstein equations.

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