The Dirac equation in curved spacetime : a guide for calculations / Peter Collas, David Klein.

Intro; Contents; 1 Introduction; References; 2 The Dirac Equation in Special Relativity; 2.1 Review of the Dirac Equation; 2.2 Plane Wave Solutions in the Standard Representation; 2.3 The Hamiltonian, Energy and Spin Operators; References; 3 The Spinorial Covariant Derivative; 3.1 The Fock-Ivanenko Coefficients; 3.2 The Dirac Hamiltonian in Curved Spacetime; 3.3 Transformation Properties of the Spin Operator; 3.4 The Ricci Rotation Coefficient Approach; 3.5 The Electromagnetic Interaction; 3.6 The Newman-Penrose Formalism; References; 4 Examples in (3+1) GR; 4.1 Schwarzschild Spacetime F-I

4.2 Schwarzschild Spacetime N-P4.3 Nonfactorizable Metric; 4.4 de Sitter Spacetime, Fermi Coordinates; References; 5 The Dirac Equation in (1+1) GR; 5.1 Introduction to (1+1); 5.2 The Dirac Equation in the Milne Universe; References; 6 The Dirac Equation in (2+1) GR; 6.1 Introduction to (2+1); 6.2 The Dirac Equation in the Schrödinger Universe; References; 7 Scalar Product; 7.1 Conservation of j Special Relativity; 7.2 The Current Density in General Relativity; 7.3 The Scalar Product in Special Relativity; 7.4 The Scalar Product in General Relativity; 7.5 Example: The Closed FRW Universe