Relativity: special, general, and cosmological

Abstract

INTRODUCTION 1. From absolute space and time to influenceable spacetime: an overview PART I: SPECIAL RELATIVITY 2. Foundations of special relativity the Lorentz transformation 3. Relativistic kinematics 4. Relativistic optics 5. Spacetime and four-vectors 6. Relativistic particle mechanics 7. Four-tensors electromagnetism in vacuum PART II: GENERAL RELATIVITY 8. Curved spaces and the basic ideas of general relativity 9. Static and stationary spacetimes 10. Geodesics, curvature tensor, and vacuum field equations 11. The Schwarzschild metric 12. Black holes and Kruskal space 13. An exact plane gravitational wave 14. The full field equations de Sitter space 15. Linearized general relativity PART III: COSMOLOGY 16. Cosmological spacetimes 17. Light propagation in FRW universes 18. Dynamics of FRW universes