2007

Einstein's General Theory of Relativity

With Modern Applications in Cosmology

Authors:

ISBN: 978-0-387-69199-2 (Print) 978-0-387-69200-5 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xx

  2. Introduction: Newtonian Physics And Special Relativity

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-19

      Relativity Principles and Gravitation

    3. No Access

      Book Chapter

      Pages 21-47

      The Special Theory of Relativity

  3. The Mathematics Of The General Theory Of Relativity

    1. Front Matter

      Pages 49-49

    2. No Access

      Book Chapter

      Pages 51-62

      Vectors, Tensors, and Forms

    3. No Access

      Book Chapter

      Pages 63-88

      Basis Vector Fields and the Metric Tensor

    4. No Access

      Book Chapter

      Pages 89-108

      Non-inertial Reference Frames

    5. No Access

      Book Chapter

      Pages 109-149

      Differentiation, Connections, and Integration

    6. No Access

      Book Chapter

      Pages 151-176

      Curvature

  4. Einstein's Field Equations

    1. Front Matter

      Pages 177-177

    2. No Access

      Book Chapter

      Pages 179-194

      Einstein's Field Equations

    3. No Access

      Book Chapter

      Pages 195-214

      The Linear Field Approximation

    4. No Access

      Book Chapter

      Pages 215-263

      The Schwarzschild Solution and Black Holes

  5. Cosmology

    1. Front Matter

      Pages 265-265

    2. No Access

      Book Chapter

      Pages 267-303

      Homogeneous and Isotropic Universe Models

    3. No Access

      Book Chapter

      Pages 305-365

      Universe Models with Vacuum Energy

    4. No Access

      Book Chapter

      Pages 367-385

      Anisotropic and Inhomogeneous Universe Models

  6. Advanced Topics

    1. Front Matter

      Pages 387-387

    2. No Access

      Book Chapter

      Pages 389-412

      Covariant Decomposition, Singularities, and Canonical Cosmology

    3. No Access

      Book Chapter

      Pages 413-437

      Spatially Homogeneous Universe Models

    4. No Access

      Book Chapter

      Pages 439-451

      Israel's Formalism: The Metric Junction Method

    5. No Access

      Book Chapter

      Pages 453-477

      Brane-worlds

    6. No Access

      Book Chapter

      Pages 479-499

      Kaluza-Klein Theory

  7. Back Matter

    Pages 501-538