General Relativity and Cosmology

Preface.- Part I: Special Relativity in Review.- Chapter 1. A brief stroll in special relativity.- Chapter 2. Lorentz transformations.- Chapter 3. The motion of particles.- Part II: Vectors and Tensors.- Chapter 4. Riemann spaces and tensors.- Chapter 5. Affine connections and geodesics.- Chapter 6. Tensor analysis.- Part III: General Relativity.- Chapter 7. Classical gravity and geometry.- Chapter 8. Curved space and gravity.- Chapter 9. Spherically symmetric gravitational fields.- Chapter 10. Black holes and gravitational collapse.- Chapter 11. Linearized general relativity and gravitational waves.- Part IV: Cosmology.- Chapter 12. The Einstein field equations for cosmology.- Chapter 13. The cosmological metric.- Chapter 14. The dynamical equations of cosmology.- Chapter 15. Solutions for the present universe.- Chapter 16. Some properties of the LCDM Universe.- Chapter 17. Earlier times and radiation.- Chapter 18. A brief historical overview of the universe.- Chapter 19. Inflation and basic questions.