9780716703440

Gravitation

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  • ISBN13:

    9780716703440

  • ISBN10:

    0716703440

  • Format: Paperback
  • Copyright: 1973-09-15
  • Publisher: W. H. Freeman
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List Price: $220.10

Summary

This landmark text offers a rigorous full-year graduate level course on gravitation physics, teaching students to: Grasp the laws of physics in flat spacetime Predict orders of magnitude Calculate using the principal tools of modern geometry Predict all levels of precision Understand Einstein's geometric framework for physics Explore applications, including pulsars and neutron stars, cosmology, the Schwarzschild geometry and gravitational collapse, and gravitational waves Probe experimental tests of Einstein's theory Tackle advanced topics such as superspace and quantum geometrodynamics The book offers a unique, alternating two-track pathway through the subject: In many chapters, material focusing on basic physical ideas is designated as Track 1. These sections together make an appropriate one-term advanced/graduate level course (mathematical prerequisites: vector analysis and simple partial-differential equations). The book is printed to make it easy for readers to identify these sections. The remainingTrack 2material provides a wealth of advanced topics instructors can draw from to flesh out a two-term course, with Track 1 sections serving as prerequisites.

Table of Contents

Gravitation has an innovative two-track organization.  Within chapters, specific material designated "Track 1" covers the key physical ideas that make up the indispensable core of gravitation theory.  The remaining material, designated "Track 2" covers advanced topics.
   
• = Chapters which include at least some Track 1 material
   
  Part I.  Spacetime Physics
    • 1. Geometrodynamics in Brief
   
  Part II. Physics in Flat Spacetime
    • 2. Foundations of Special Relativity
    • 3. The Electromagnetic Field
    4. Electromagnetism and Differential Forms
    • 5. Stress-Energy Tensor and Conservation Laws
    • 6. Accelerated Observers
    7. Incompatibility of Gravity and Special Relativity
   
  Part III. The Mathematics of Curved Spacetime
    • 8. Differential Geometry: An Overview
    9. Differential Topology
    10. Affine Geometry: Geodesics, Parallel Transport and Covariant Derivatives
    11. Geodesic Deviation and Spacetime Curvature
    12. Newtonian Gravity in the Language of Curved Spacetime
    13. Riemannian Geometry: Metric as Foundation of All
    14. Calculation of Curvature
    15. Bianchi Identities and the Boundary of a Boundary
   
  Part IV. Einstein's Geometric Theory of Gravity
    • 16. Equivalence Principle and Measuremetn of the "Gravitational Field"
    • 17. How Mass-Energy Generates Curvature
    • 18. Weak Gravitational Fields
    • 19. Mass and Angular Momentum of a Gravititing System
    20. Conservation Laws for 4-Momentum and Angular Momentum
    21. Variation Principle and Initial-Value Data
    22. Thermodynamics, Hydrodynamics, Electrodynamics, Geometric Optics, and Kinetic Theory
   
  Part V. Relativistic Stars
    • 23. Spherical Stars
    • 24. Pulsars and Neutron Stars: Quasars and Supermassive Stars
    • 25. The "Pit in the Potential" as the Central New Feature of Motion in Schwarzschild Geometry
    26. Stellar Pulsations
   
  Part VI. The Universe
    27. Idealized Cosmologies
    • 28. Evolution of the Universe into Its Present State
    29. Present State and Future Evolution of the Universe
    30. Anisotropic and Inhomogeneous Cosmologies
   
  Part VII. Gravitational Collapse and Black Holes
    • 31. Schwarzschild Geometry
    • 32. Gravitational Collapse
    • 33. Black Holes
    34. Global Techniques, Horizons, and Singularity Theorems
   
  Part VIII. Gravitational Waves
    • 35. Propagation of Gravitational Waves
    • 36. Generation of Gravitational Waves
    • 37. Detection of Gravitational Waves
   
  Part IX. Experimental Tests of General Relativity
    • 38. Testing the Foundations of Relativity
    • 39. Other Theories of Gravity and the Post-Newtonian Approximation
    • 40. Solar-System Experiment
   
  Part X. Frontiers
    41. Spinors
    42. Regge Calculus
    43. Superspace: Arena for the Dynamics of Geometry
    44. Beyond the End of Time

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