Twistor theory and the Einstein equations
Copyright policy )Twistor theory and the Einstein equations
R. Penrose (in Advances in twistor theory , pp. 168‒176, and in Cosmology and gravitation ; Nato advanced study institute series , pp. 287‒316 (1980). New York: Plenum Press) has argued that the goal of twistor theory with regard to the vacuum Einstein equations ought to consist of some kind of unification of twistor-theoretic descriptions of anti-self-dual (a. s. d. ) and self-dual (s. d. ) space-times. S. d. space‒times currently possess a description only in terms of dual twistor space, however, rather than twistor space. In this paper, suggestions due to Penrose for providing a purely twistor space description of s. d. space‒times are investigated. It is shown how the points of certain s. d. space‒times define mappings on twistor space and the geometry of these mappings is studied. The families of mappings for two particular s. d. space‒times are presented explicitly.
- University of Oxford United Kingdom
Einstein equations, Local differential geometry of Lorentz metrics, indefinite metrics, Applications of local differential geometry to the sciences, Spin and Spin\({}^c\) geometry, complex space-times, nonlinear graviton, googly maps, twistor space, Complex manifolds, googly graviton, Einstein's equations (general structure, canonical formalism, Cauchy problems), self dual spaces
Einstein equations, Local differential geometry of Lorentz metrics, indefinite metrics, Applications of local differential geometry to the sciences, Spin and Spin\({}^c\) geometry, complex space-times, nonlinear graviton, googly maps, twistor space, Complex manifolds, googly graviton, Einstein's equations (general structure, canonical formalism, Cauchy problems), self dual spaces
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!