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An Introduction to General Relativity

$54.00 ( ) USD

Part of London Mathematical Society Student Texts

  • Date Published: July 2013
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781107108042

$ 54.00 USD ( )
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About the Authors
  • This long-awaited textbook offers a concise one-semester introduction to basic general relativity suitable for mathematics and physics undergraduates. Emphasis is placed on the student's development of both a solid physical grasp of the subject and a sophisticated calculational facility. The text is supplemented by numerous geometrical diagrams and by a large selection of challenging exercises and problems.

    Reviews & endorsements

    "...the authors guide the novice along a careful, well-planned route that provides a pleasing balance between the demands of the mathematics and those of the physics." Mathematical Reviews

    "...very readable...more emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition." Quarterly of Applied MAthematics, Brown University

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    Product details

    • Date Published: July 2013
    • format: Adobe eBook Reader
    • isbn: 9781107108042
    • contains: 32 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Introduction
    2. Vectors and tensors in flat three-space
    3. Aspects of special relativistic geometry
    4. Tensor analysis on manifolds
    5. Covariant differentiation
    6. Properties of the Riemann tensor
    7. Riemannian geometry
    8. The Lie derivative
    9. Geodesics
    10. Geodesic deviation
    11. Differential forms
    12. The transition from Newtonian theory
    13. Einstein's field equations
    14. The slow motion approximation
    15. The Schwarzschild solution
    16. Gravitational red-shift and time dilation
    17. The geodesic equation for the Schwarzschild solution
    18. Classical tests
    19. The extended Schwarzschild solution
    20. Black holes and gravitational collapse
    21. Interior solutions
    22. The Kerr solution
    23. Homogeneous and isotropic three-spaces
    24. Cosmology: kinematics
    25. Cosmology: dynamics
    25. Anisotropic cosmologies
    Index.

  • Authors

    L. P. Hughston, King's College London

    K. P. Tod, University of Oxford

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