Twistor Space and Its Applications

Abstract

We formulated space-time in terms of twistors. In this formulation the points of space-time (events) are derived from twistors. So twistors are shown to be the primitive objects from which all concepts of spacetime arise. Differential equations, describing conformal fields may be written in twistor terms. We utilized complex structure in 𝑅3 to construct geometrical solutions for Laplace equation, wave equation and monopole equation. The complex space used is the so called mini – twistor space and the solutions in all the above cases is given by a contour integral of a twistor function over a bundle space of one–dimensional complex projective space.