Gravitation and Cosmology

, Volume 23, Issue 4, pp 300–304 | Cite as

Twistor structures and boost-invariant solutions to field equations

  • Vladimir V. Kassandrov
  • Joseph A. Rizcallah
  • Nina V. Markova


We start with a brief overview of a non-Lagrangian approach to field theory based on a generalization of the Kerr-Penrose theorem and algebraic twistor equations. Explicit algorithms for obtaining the set of fundamental (Maxwell, SL(2,ℂ)-Yang-Mills, spinor Weyl and curvature) fields associated with every solution of the basic system of algebraic equations are presented. The notion of a boost-invariant solution is introduced, and the unique axially-symmetric and boost-invariant solution which can be generated by twistor functions is obtained, together with the associated fields. It is found that this solution possesses a wide variety of point-, string- and membrane-like singularities exhibiting nontrivial dynamics and transmutations.


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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • Vladimir V. Kassandrov
    • 1
  • Joseph A. Rizcallah
    • 2
  • Nina V. Markova
    • 3
  1. 1.Institute of Gravitation and CosmologyPeoples’ Friendship University of RussiaMoscowRussia
  2. 2.School of EducationLebanese UniversityBeirutLebanon
  3. 3.Department of Applied MathematicsPeoples’ Friendship University of RussiaMoscowRussia

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