The solution of the Dirac equation in the Kerr geometry

Peggy Varnière

• Notation
• Acknowledgments
• Contents
• Introduction or the Physics behind the equations
  • Relativity
  • The Einstein field equation
  • Black Holes and Gravitationnal Collapsing
• Kerr Geometry
  • The null tetrad
  • The Kerr solution
  • About the Solution of Kerr
• Solution of the Dirac's Equation in the Kerr Geometry
  • About Dirac's equation
  • Dirac's Equation in Newman-Penrose formalism
  • Dirac's Equation in Kerr Geometry
  • Separation of Variables and Reduction of the Equation
• Neutrino's Wave in Kerr Geometry
  • Rewritting Dirac's equation
  • Reflexion and Transmission of Neutrinos Waves
  • The absence of super radiance
  • Behaviour of the Solution around
• The spin-coefficients
• List of Tables
• References
• Index