Relativistic Cosmology: An Introduction

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Product Details

  • ISBN-13: 9783540101383
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 10/3/1980
  • Edition number: 1
  • Pages: 170
  • Product dimensions: 6.69 (w) x 9.61 (h) x 0.40 (d)

Table of Contents

I: The Metagalaxy out to a Distance of One Gigaparsec.- 1. Distance Scale.- 1.1 Cepheids.- 1.2 H II Regions.- 1.3 Luminosity Classes.- 1.4 The Diameter — Luminosity Relation.- 1.5 Groups of Galaxies.- 2. The Distribution of Galaxies in Space.- 2.1 The Local Group.- 2.2 The Nearby Groups.- 2.3 The Virgo Cluster.- 2.4 The Coma Cluster.- 2.5 Rich Clusters.- 2.6 Superclusters.- 2.7 Gradients.- 3. The Expansion of the Universe.- 3.1 The Nature of the Expansion.- 3.2 The Value of the Hubble Constant.- 4. Nearby Intergalactic Matter.- 4.1 Optical Observations.- 4.2 21-cm Radio Observations.- 4.3 X-Ray Observations.- 5. The Density of the Universe.- 5.1 The Contribution of Galaxies.- 5.2 The Contribution of Intergalactic Material.- 5.3 Other Contributions.- 5.4 The Density of the Universe.- 6. The Age of the Universe.- II: Spaces with Constant Curvature.- 7. Locally Euclidean Spaces.- 7.1 Natural Frame.- 7.2 The Riemann-Christoffel Tensor.- 7.3 Locally Euclidean Space.- 7.4 Development.- 7.5 Holonomy Groups.- 7.6 Fundamental Polyhedron.- 7.7 Representing Locally Euclidean Space in Euclidean Space.- 7.8 The Various Types of Locally Euclidean Space.- 8. Locally Non-Euclidean Spaces.- 8.1 First Order Representation.- 8.2 Second Order Representation.- 8.3 Development Along a Curve.- 8.4 Geodesic Surfaces.- 8.5 The Riemann-Christoffel Tensor.- 8.6 Riemannian Curvature.- 8.7 General Properties of Locally Non-Euclidean Spaces.- 8.8 The Various Types of Locally Non-Euclidean Spaces.- 9. Spherical and Hyperbolic Spaces.- 9.1 Geodesic Representation.- 9.2 Central Representation.- 9.3 Other Representations.- 9.4 Appendix.- III: Model Universes.- 10. Uniform Relativistic Model Universes.- 10.1 The Equations of General Relativity.- 10.2 Dingle’s Equations.- 10.3 Cosmological Solution.- 10.4 The Robertson-Walker Metric.- 10.5 The Friedmann Universes.- 10.6 Radiation-Filied Universes.- 11. Theory of Observations in the Relativistic Zone.- 11.1 Motion of Photons.- 11.2 Spectral Ratio.- 11.3 Travel Time of Photons.- 11.4 Age of the Universe.- 11.5 Diameter.- 11.6 Luminosity.- 11.7 Brightness.- 11.8 Number of Observable Objects.- 11.9 Other Parameters.- 12. The Cosmological Constant.- 12.1 The (q,—) Diagram.- 12.2 Evolution of the Universe.- 12.3 Age of the Universe.- 12.4 The Hubble Diagram.- 13. Cosmological Horizons.- 13.1 Particle Horizon.- 13.2 The Event Horizon.- 13.3 The Absolute Horizon.- 13.4 The Determination of Horizons.- IV: The Metagalaxy in the Relativistic Zone.- 14. The Hubble Diagram for Galaxies.- 15. Distant Intergalactic Material.- 15.1 Neutral Hydrogen.- 15.2 Ionized Hydrogen.- 16. Radio Galaxies and Quasars.- 16.1 Basic Data.- 16.2 Number Counts.- 16.3 Distribution and Luminosity Function.- 16.4 Isotropy of Extragalactic Radio Sources.- 16.5 Test of Closure.- 17. The Cosmic Microwave Background.- 17.1 Description of the Cosmic Background.- 17.2 Cosmological Interpretation.- Numerical Constants.

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