2011

Einstein's Theory

A Rigorous Introduction for the Mathematically Untrained

Authors:

ISBN: 978-1-4614-0705-8 (Print) 978-1-4614-0706-5 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvii

  2. No Access

    Book Chapter

    Pages 1-20

    Vectors

  3. No Access

    Book Chapter

    Pages 21-42

    Differential calculus

  4. No Access

    Book Chapter

    Pages 43-59

    Tangent vectors

  5. No Access

    Book Chapter

    Pages 61-75

    Approaching general relativity: introducing curvilinear coordinate systems

  6. No Access

    Book Chapter

    Pages 77-128

    The metric tensor

  7. No Access

    Book Chapter

    Pages 129-143

    The Christoffel symbols

  8. No Access

    Book Chapter

    Pages 145-158

    Covariant differentiation

  9. No Access

    Book Chapter

    Pages 159-167

    Geodesics

  10. No Access

    Book Chapter

    Pages 169-186

    Curvature

  11. No Access

    Book Chapter

    Pages 187-209

    Conservation laws of classical mechanics

  12. No Access

    Book Chapter

    Pages 211-224

    Einstein’s field equations

  13. No Access

    Book Chapter

    Pages 225-255

    Einstein’s theory of spacetime and gravitation

  14. No Access

    Book Chapter

    Pages 257-287

    Some applications of the general theory of relativity

  15. No Access

    Book Chapter

    Pages 289-312

    Relativistic universe models

  16. Back Matter

    Pages 313-341