Summary
This chapter presents a simple introduction to the basic theoretical infrastructure for the construction of cosmological models and the formalism for relating observables to the intrinsic properties of the objects studied. The application of the cosmological principle and the development of the metric for isotropic curved spaces leads to the Robertson-Walker metric. This metric provides the tool for understanding the significance of the cosmological redshift and Hubble’s law as well as determining the angular diameter-redshift relations, number densities in cosmology and the age of the Universe. The formalism enables relations to be derived for any isotropic, homogeneous world model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Berry, M. (1989). Principles of cosmology and gravitation. Adam Hilger.
Blondin, S., Davis, T. M., Krisciunas, K., et al. (2008). Time dilation in Type Ia supernova spectra at high redshift. The Astrophysical Journal, 682(2), 724–736. https://doi.org/10.1086/589568.
Bolyai, J. (1832). Appendix: Scientiam spatii absolute veritam exhibens (Appendix: Explaining the absolutely true science of space). An attempt to introduce studious youth to the elements of pure mathematics. Maros Vásárhely. Published as an appendix to the essay by his father F. Bolyai.
Bondi, H. (1960). Cosmology (2nd ed.). Cambridge University Press.
Einstein, A. (1917). Kosmologische Betrachtungen zur Allgemeinen Relativitätstheorie (Cosmological Considerations in the General Theory of Relativity). Sitzungsberichte, Königlich Preussische Akademie der Wissenschaften, I, 142–152.
Foley, R. J., Filippenko, A. V., Leonard, D. C., et al. (2005). A definitive measurement of time dilation in the spectral evolution of the moderate-redshift type 1a Supernova 1997ex. The Astrophysical Journal Letters, 626, L11–L14.
Friedman, A. A. (1922). On the curvature of space. Zeitschrift für Physik, 10, 377–386.
Friedman, A. A. (1924). On the possibility of a world with constant negative curvature. Zeitschrift für Physik, 12, 326–332.
Goldhaber, G., Groom, D. E., Kim, A., et al. (2001). Timescale stretch parameterization of type 1a supernova B-band light curves. The Astrophysical Journal, 558, 359–368.
Hubble, E. P. (1929). A relation between distance and radial velocity among extra-galactic nebulae. Proceedings of the National Academy of Sciences, 15, 168–173.
Kragh, H., & Longair, M. (Eds.) (2019). The Oxford handbook of the history of modern cosmology. Oxford University Press.
Lobachevsky, N. I. (1829). On the principles of geometry. Kazanski Vestnik.
Lobachevsky, N. I. (1830). On the principles of geometry. Kazanski Vestnik.
Longair, M. S. (2006). The cosmic century: A history of astrophysics and cosmology. Cambridge University Press.
Robertson, H. P. (1935). Kinematics and world structure. The Astrophysical Journal, 82, 284–301.
Sandage, A. R. (1961). The Hubble atlas of galaxies (Publication 618). Carnegie Institution of Washington.
Walker, A. G. (1936). On Milne’s theory of world structure. Proceedings of the London Mathematical Society, Series 2, 42, 90–127.
Weinberg, S. (1972). Gravitation and cosmology. John Wiley and Company.
Weyl, H. (1923). Zur allgemeinen Relativitätstheorie (On the theory of general relativity). Zeitschrift für Physik, 29, 230–232.
Wood-Vasey, W. M., Miknaitis, G., Stubbs, C. W., et al. (2007). Observational constraints on the nature of dark energy: First cosmological results from the ESSENCE supernova survey. The Astrophysical Journal, 666(2), 694–715. https://doi.org/10.1086/518642
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature
About this chapter
Cite this chapter
Longair, M.S. (2023). The Theoretical Framework. In: Galaxy Formation. Astronomy and Astrophysics Library. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-65891-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-662-65891-8_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-65890-1
Online ISBN: 978-3-662-65891-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)