General Relativity

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ISBN: 978-94-007-5409-6 (Print) 978-94-007-5410-2 (Online)
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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XIX

  2. The General Theory of Relativity

    1. Front Matter

      Pages 1-1

    2. Book Chapter

      Pages 3-6

      Introduction

    3. Book Chapter

      Pages 7-63

      Physics in External Gravitational Fields

    4. Book Chapter

      Pages 65-154

      Einstein’s Field Equations

  3. Applications of General Relativity

    1. Front Matter

      Pages 155-155

    2. Book Chapter

      Pages 157-226

      The Schwarzschild Solution and Classical Tests of General Relativity

    3. Book Chapter

      Pages 227-305

      Weak Gravitational Fields

    4. Book Chapter

      Pages 307-373

      The Post-Newtonian Approximation

    5. Book Chapter

      Pages 375-428

      White Dwarfs and Neutron Stars

    6. Book Chapter

      Pages 429-526

      Black Holes

    7. Book Chapter

      Pages 527-545

      The Positive Mass Theorem

    8. Book Chapter

      Pages 547-576

      Essentials of Friedmann–Lemaître Models

  4. Differential Geometry

    1. Front Matter

      Pages 577-578

    2. Book Chapter

      Pages 579-584

      Differentiable Manifolds

    3. Book Chapter

      Pages 585-597

      Tangent Vectors, Vector and Tensor Fields

    4. Book Chapter

      Pages 599-605

      The Lie Derivative

    5. Book Chapter

      Pages 607-629

      Differential Forms

    6. Book Chapter

      Pages 631-664

      Affine Connections

    7. Book Chapter

      Pages 665-677

      Some Details and Supplements

  5. Back Matter

    Pages 679-735