Originally published in 1956, this book was based on a brief course of lectures delivered during the summer term of 1954 at the Dublin Institute for Advanced Studies. It provides a concise interpretation of universe expansion and contemporary theories relating to it.
Originally published in 1956, this book was based on a brief course of lectures delivered during the summer term of 1954 at the Dublin Institute for Advanced Studies. It provides a concise interpretation of universe expansion and contemporary theories relating to it.
Preface Part I. The de Sitter Universe: 1. Synthetic construction 2. The reduced model: geodesics 3. The elliptic interpretation 4. The static frame 5. The determination of parallaxes 6. The Lemaître-Robertson frame Part II. The Theory of Geodesics: 7. On null geodesics i. Determination of the parameter for null lines in special cases ii. Frequency shift 8. Free particles and light rays in general expanding spaces, flat or hyperspherical i. Flat spaces ii. Spherical spaces iii. The red shift for spherical spaces Part III. Waves in General Riemannian Space-Time: 9. The nature of our approximation 10. The Hamilton-Jacobi theory in a gravitational field 11. Procuring approximate solutions of the Hamilton-Jacobi equation from wave theory Part IV. Waves in an Expanding Universe: 12. General considerations 13. Proper vibrations and wave parcels Bibliography.
Preface Part I. The de Sitter Universe: 1. Synthetic construction 2. The reduced model: geodesics 3. The elliptic interpretation 4. The static frame 5. The determination of parallaxes 6. The Lemaître-Robertson frame Part II. The Theory of Geodesics: 7. On null geodesics i. Determination of the parameter for null lines in special cases ii. Frequency shift 8. Free particles and light rays in general expanding spaces, flat or hyperspherical i. Flat spaces ii. Spherical spaces iii. The red shift for spherical spaces Part III. Waves in General Riemannian Space-Time: 9. The nature of our approximation 10. The Hamilton-Jacobi theory in a gravitational field 11. Procuring approximate solutions of the Hamilton-Jacobi equation from wave theory Part IV. Waves in an Expanding Universe: 12. General considerations 13. Proper vibrations and wave parcels Bibliography.
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