Mathematical Cosmology and Extragalactic Astronomy.
[Book]
Burlington :
Elsevier Science,
2014.
1 online resource (215 pages).
Pure and Applied Mathematics ;
v. 68
Front Cover; Mathematical Cosmology and Extragalactic Astronomy; Copyright Page; Contents; Preface; Chapter I. General introduction; 1. Standpoint and purpose; 2. Causality and geometry-historical; 3. Conformality, groups, and particles-historical; 4. Natural philosophy of chronogeometric cosmology; 5. The universal cosmos-sketch; 6. The chronometric redshift theory; 7. Theoretical ramifications; the cosmic background radiation; Chapter II. Mathematical development; 1. Causal orientations; 2. Causality in groups; 3. Causal morphisms of groups; 4. Causality and conformality.
16. The angular diameter redshift relation for double radio sources17. Observation versus theory for radio sources; 18. The Setti-Woltjer quasar classes; 19. Other observational considerations; Chapter V. Discussion; 1. General conclusions; 2. Theoretical aspects; 3. Further observational work; References; Index.
5. Relation to Minkowski space6. Observers and clocks; 7. Local observers; Chapter III. Physical theory; 1. The Cosmos; 2. Postulational development; 3. Physical observers; 4. Conformal geometry and the unitary formalism; 5. Causal symmetries and the energy; 6. The redshift; 7. Local Lorentz frames; 8. Cosmic background radiation; 9. Special relativity as a limiting case of unispatial theory; Chapter IV. Astronomical applications; 1. Introduction; 2. The redshift-magnitude relation; 3. Further cosmological tests; 4. The aperture correction for galaxies.
5. Statistical effect of the selection of the brightest objects6. The Peterson galaxies; 7. Markarian galaxies and N-galaxies; 8. The redshift-magnitude relation for nearby galaxies; 9. The redshift-magnitude relation for Sandage's brightest cluster galaxies; 10. Preliminary discussion of quasars; 11. The N-z relation for quasars; 12. The apparent magnitude distribution for quasars; 13. The redshift-luminosity relation for quasars; 14. The redshift-number relation for quasar subsamples; 15. The Schmidt V/Vm test for quasars in the chronometric theory.
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Mathematical Cosmology and Extragalactic Astronomy.
Mathematical Cosmology and Extragalactic Astronomy.