CLASSICAL FIELD THEORY

ELECTROMAGNETISM AND GRAVITATION

• Electrostatics
• Steady Currents and Magnetostatics
• Time-Dependent Fields and Currents
• Radiation by Prescribed Sources
• Scattering
• Invariance and Special Relativity
• Lagrangian Field Theory
  • Review of Lagrangians in Mechanics, 281
  • Relativistic Lagrangian for Particles in a Field, 284
  • Lagrangian for Fields, 290
  • Interacting Fields and Particles, 298
  • Vector Fields, 304
  • General Covariance, 313
  • Local Transformation to a Pseudo-Euclidean System
  • Alternative Construction of a Covariantly Conserved,
  • Problems
  • Symmetric Stress-Energy Tensor
• Gravity
  • The Nature of the Gravitational Field
  • The Tensor Field
  • Lagrangian for the Gravitational Field
  • Particles in a Gravitational Field
  • Interaction of the Gravitational Field
  • Curvature,
  • The Einstein Field Equations and the Precession of Orbits,
  • Gravitational Radiation
  • Problem
• Appendix A. Vectors and Tensors
• Appendix B. Spherical Harmonics and Orthogonal Polynomials