Charles W. Misner: Gravitation

Cover: 9780691177793 | Gravitation | Charles W. Misner (u. a.) | Buch | Englisch | 2017

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Beschreibung

First published in 1973, Gravitation is a landmark graduate-level textbook that presents Einstein's general theory of relativity and offers a rigorous, full-year course on the physics of gravitation. Upon publication, Science called it "a pedagogic masterpiece." With an emphasis on geometric interpretation, this masterful and comprehensive book introduces the theory of relativity; describes physical applications, from stars to black holes and gravitational waves; and portrays the field's frontiers. The book also offers a unique, alternating, two-track pathway through the subject.

Über den Autor

Charles W. Misner, Kip S. Thorne & John Archibald Wheeler
With a new foreword by David I. Kaiser and a new preface by Charles W. Misner and Kip S. Thorne

Inhaltsverzeichnis

LIST OF BOXES
LIST OF FIGURES
FOREWORD TO THE 2017 EDITION
PREFACE TO THE 2017 EDITION
PREFACE
ACKNOWLEDGMENTS
Part I SPACETIME PHYSICS
- 1. Geometrodynamics in Brief
  - 1. The Parable of the Apple
  - 2. Spacetime With and Without Coordinates
  - 3. Weightlessness
  - 4. Local Lorentz Geometry, With and Without Coordinates
  - 5. Time
  - 6. Curvature
  - 7. Effect of Matter on Geometry
- Part II PHYSICS IN FLAT SPACETIME
  - 2. Foundations of Special Relativity
    - 1. Overview
    - 2. Geometric Objects
    - 3. Vectors
    - 4. The Metric Tensor
    - 5. Differential Forms
    - 6. Gradients and Directional Derivatives
    - 7. Coordinate Representation of Geometric Objects
    - 8. The Centrifuge and the Photon
    - 9. Lorentz Transformations
    - 10. Collisions
  - 3. The Electromagnetic Field
    - 1. The Lorentz Force and the Electromagnetic Field Tensor
    - 2. Tensors in All Generality
    - 3. Three-Plus-One View Versus Geometric View
    - 4. Maxwell’s Equations
    - 5. Working with Tensors
  - 4. Electromagnetism and Differential Forms
    - 1. Exterior Calculus
    - 2. Electromagnetic 2-Form and Lorentz Force
    - 3. Forms Illuminate Electromagnetism and Electromagnetism Illuminates Forms
    - 4. Radiation Fields
    - 5. Maxwell’s Equations
    - 6. Exterior Derivative and Closed Forms
    - 7. Distant Action from Local Law
  - 5. Stress-Energy Tensor and Conservation Laws
    - 1. Track-1 Overview
    - 2. Three-Dimensional Volumes and Definition of the Stress-Energy Tensor
    - 3. Components of Stress-Energy Tensor
    - 4. Stress-Energy Tensor for a Swarm of Particles
    - 5. Stress-Energy Tensor for a Perfect Fluid
    - 6. Electromagnetic Stress-Energy
    - 7. Symmetry of the Stress-Energy Tensor
    - 8. Conservation of 4-Momentum: Integral Formulation
    - 9. Conservation of 4-Momentum: Differential Formulation
    - 10. Sample Application of ▼ · T = 0
    - 11. Angular Momentum
  - 6. Accelerated Observers
    - 1. Accelerated Observers Can Be Analyzed Using Special Relativity
    - 2. Hyperbolic Motion
    - 3. Constraints on Size of an Accelerated Frame
    - 4. The Tetrad Carried by a Uniformly Accelerated Observer
    - 5. The Tetrad Fermi-Walker Transported by an Observer with Arbitrary Acceleration
    - 6. The Local Coordinate System of an Accelerated Observer
  - 7. Incompatibility of Gravity and Special Relativity
    - 1. Attempts to Incorporate Gravity into Special Relativity
    - 2. Gravitational Redshift Derived from Energy Conservation
    - 3. Gravitational Redshift Implies Spacetime Is Curved
    - 4. Gravitational Redshift as Evidence for the Principle of Equivalence
    - 5. Local Flatness, Global Curvature
  - Part III THE MATHEMATICS OF CURVED SPACETIME
    - 8. Differential Geometry: An Overview
      - 1. An Overview of Part III
      - 2. Track 1 Versus Track 2: Difference in Outlook and Power
      - 3. Three Aspects of Geometry: Pictorial, Abstract, Component
      - 4. Tensor Algebra in Curved Spacetime
      - 5. Parallel Transport, Covariant Derivative, Connection Coefficients, Geodesics
      - 6. Local Lorentz Frames: Mathematical Discussion
      - 7. Geodesic Deviation and the Riemann Curvature Tensor
    - 9. Differential Topology
      - 1. Geometric Objects in Metric-Free, Geodesic-Free Spacetime
      - 2. “Vector” and “Directional Derivative” Refined into Tangent Vector
      - 3. Bases, Components, and Transformation Laws for Vectors
      - 4. 1-Forms
      - 5. Tensors
      - 6. Commutators and Pictorial Techniques
      - 7. Manifolds and Differential Topology
    - 10. Affine Geometry: Geodesics, Parallel Transport and Covariant Derivative
      - 1. Geodesics and the Equivalence Principle
      - 2. Parallel Transport and Covariant Derivative: Pictorial Approach
      - 3. Parallel Transport and Covariant Derivative: Abstract Approach
      - 4. Parallel Transport and Covariant Derivative: Component Approach
      - 5. Geodesic Equation
    - 11. Geodesic Deviation and Spacetime Curvature
      - 1. Curvature, At Last!
      - 2. The Relative Acceleration of Neighboring Geodesics
      - 3. Tidal Gravitational Forces and Riemann Curvature Tensor
      - 4. Parallel Transport Around a Closed Curve
      - 5. Flatness is Equivalent to Zero Riemann Curvature
      - 6. Riemann Normal Coordinates
    - 12. Newtonian Gravity in the Language of Curved Spacetime
      - 1. Newtonian Gravity in Brief
      - 2. Stratification of Newtonian Spacetime
      - 3. Galilean Coordinate Systems
      - 4. Geometric, Coordinate-Free Formulation of Newtonian Gravity
      - 5. The Geometric View of Physics: A Critique
    - 13. Riemannian Geometry: Metric as Foundation of All
      - 1. New Features Imposed on Geometry by Local Validity of Special Relativity
      - 2. Metric
      - 3. Concord Between Geodesics of Curved Spacetime Geometry and Straight Lines of Local Lorentz Geometry
      - 4. Geodesics as World Lines of Extremal Proper Time
      - 5. Metric-Induced Properties of Riemann
      - 6. The Proper Reference Frame of an Accelerated Observer
    - 14. Calculation of Curvature
      - 1. Curvature as a Tool for Understanding Physics
      - 2. Forming the Einstein Tensor
      - 3. More Efficient Computation
      - 4. The Geodesic Lagrangian Method
      - 5. Curvature 2-Forms
      - 6. Computation of Curvature Using Exterior Differential Forms
    - 15. Bianchi Identities and the Boundary of a Boundary
      - 1. Bianchi Identities in Brief
      - 2. Bianchi Identity dR = 0 as a Manifestation of “Boundary of Boundary = 0”
      - 3. Moment of Rotation: Key to Contracted Bianchi Identity
      - 4. Calculation of the Moment of Rotation
      - 5. Conservation of Moment of Rotation Seen from “Boundary of a Boundary is Zero”
      - 6. Conservation of Moment of Rotation Expressed in Differential Form
      - 7. From Conservation of Moment of Rotation to Einstein’s Geometrodynamics: A Preview
    - Part IV EINSTEIN’S GEOMETRIC THEORY OF GRAVITY
      - 16. Equivalence Principle and Measurement of the “Gravitational Field”
        1. Overview
        2. The Laws of Physics in Curved Spacetime
        3. Factor-Ordering Problems in the Equivalence Principle
        4. The Rods and Clocks Used to Measure Space and Time Intervals
        5. The Measurement of the Gravitational Field
      - 17. How Mass-Energy Generates Curvature
        1. Automatic Conservation of the Source as the Central Idea in the Formulation of the Field Equation
        2. Automatic Conservation of the Source: A Dynamic Necessity
        3. Cosmological Constant
        4. The Newtonian Limit
        5. Axiomatize Einstein’s Theory?
        6. “No Prior Geometry”: A Feature Distinguishing Einstein’s Theory from Other Theories of Gravity
        7. A Taste of the History of Einstein’s Equation
      - 18. Weak Gravitational Fields
        1. The Linearized Theory of Gravity
        2. Gravitational Waves
        3. Effect of Gravity on Matter
        4. Nearly Newtonian Gravitational Fields
      - 19. Mass and Angular Momentum of a Gravitating System
        1. External Field of a Weakly Gravitating Source
        2. Measurement of the Mass and Angular Momentum
        3. Mass and Angular Momentum of Fully Relativistic Sources
        4. Mass and Angular Momentum of a Closed Universe
      - 20. Conservation Laws for 4-Momentum and Angular Momentum
        1. Overview
        2. Gaussian Flux Integrals for 4-Momentum and Angular Momentum
        3. Volume Integrals for 4-Momentum and Angular Momentum
        4. Why the Energy of the Gravitational Field Cannot be Localized
        5. Conservation Laws for Total 4-Momentum and Angular Momentum
        6. Equation of Motion Derived from the Field Equation
      - 21. Variational Principle and Initial-Value Data
        1. Dynamics Requires Initial-Value Data
        2. The Hilbert Action Principle and the Palatini Method of Variation
        3. Matter Lagrangian and Stress-Energy Tensor
        4. Splitting Spacetime into Space and Time
        5. Intrinsic and Extrinsic Curvature
        6. The Hilbert Action Principle and the Arnowitt-Deser-Misner Modification Thereof in the Space-plus-Time Split
        7. The Arnowitt-Deser-Misner Formulation of the Dynamics of Geometry
        8. Integrating Forward in Time
        9. The Initial-Value Problem in the Thin-Sandwich Formulation
        10. The Time-Symmetric and Time-Antisymmetric Initial-Value Problem
        11. York’s “Handles” to Specify a 4-Geometry
        12. Mach’s Principle and the Origin of Inertia
        13. Junction Conditions
      - 22. Thermodynamics, Hydrodynamics, Electrodynamics, Geometric Optics, and Kinetic Theory
        1. The Why of this Chapter
        2. Thermodynamics in Curved Spacetime
        3. Hydrodynamics in Curved Spacetime
        4. Electrodynamics in Curved Spacetime
        5. Geometric Optics in Curved Spacetime
        6. Kinetic Theory in Curved Spacetime
      - Part V RELATIVISTIC STARS
        23. Spherical Stars
        1. Prolog
        2. Coordinates and Metric for a Static, Spherical System
        3. Physical Interpretation of Schwarzschild coordinates
        4. Description of the Matter Inside a Star
        5. Equations of Structure
        6. External Gravitational Field
        7. How to Construct a Stellar Model
        8. The Spacetime Geometry for a Static Star
        24. Pulsars and Neutron Stars; Quasars and Supermassive...

Details

Erscheinungsjahr:	2017
Fachbereich:	Astronomie
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Einband - fest (Hardcover)
ISBN-13:	9780691177793
ISBN-10:	0691177791
Sprache:	Englisch
Einband:	Gebunden
Autor:	Misner, Charles W. Thorne, Kip S. Wheeler, John Archibald
Hersteller:	Princeton Univers. Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	261 x 207 x 68 mm
Von/Mit:	Charles W. Misner (u. a.)
Erscheinungsdatum:	12.10.2017
Gewicht:	2,794 kg