Skip to main content

Extragalactic Celestial Mechanics: The Equation of Evolution

  • Conference paper
Space Dynamics and Celestial Mechanics

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 127))

  • 302 Accesses

Abstract

In the context of extragalaotic celestial mechanics the equation of evolution of the universe is deduced with reference both to the isotropic and the anisotropic case, without resorting to the Newtonian theory of gravitation. With regards to the constant which comes out in this deduction, astronomical observation suggests that it can be rightly identified with the gravitational constant. Some consequences of the equation of evolution are deduced. The results obtained are preceded by a historical and critical analysis relative to the attempts which have been made up to now in order to develop a theory of the universe in the Newtonian context.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. BARBERIS B., GALLETTO D., ‘Modelli d’ universo del tipo Bianchi I e propagazione della luce’, in: Atti del “6º Convegno Nazionale di Relatività Generale e Fisica della Gravitazione” (Firenze, 10–13 ottobre 1984) (in print),

    Google Scholar 

  2. BONDI H., Cosmology, 2nd ed., Cambridge Univ. Press, 1960.

    Google Scholar 

  3. DAVIDSON W.,EVANS A.B., ‘A Fresh Look at the Cosmological Singularity’, Nature Phys. Sci., 232 (1971), pp. 29–31.

    ADS  Google Scholar 

  4. DAVIDSON W., EVANS A.B., ‘Newtonian Universes Expanding or Con-tracting with Shear and Rotation’, Internat. J. Theoret. Phys., 7 (1973), PP. 353–378.

    Article  ADS  Google Scholar 

  5. DAVIDSON W., EVANS A.B., ‘Newtonian Universes with Shear’, Comm. Roy. Soc. Edinburgh, 10 (1977), pp. 123–145.

    MathSciNet  ADS  Google Scholar 

  6. GALLETTO D., ‘Sui fondamenti della meccanica classica, della teo-ria newtoniana della gravitazione e della cosmologia newtoniana’, in: Atti del “3º Convegno Nazionale di Relatività Generale e Fi-sica della Gravitazione” (Torino, 18–21 settembre 1978), Accademia delle Scienze, Torino, 1981; pp. 111–157.

    Google Scholar 

  7. GALLETTO D., ‘Des principes de la mécanique classique aux théories de la gravitation de Newton et Einstein’, in: Atti del Convegno Internazionale “Aspetti matematici della teoria della relatività” (Roma, 5–6 giugno 1980), Accademia Nazionale dei Lincei, Roma, 1984; pp. 59–83.

    Google Scholar 

  8. GALLETTO D., BARBERIS B., ‘Sur les modèles newtoniens d’univers anisotropes et homogènes’, in: Benenti S., Ferraris M., Franca-viglia M. (eds.), Proceedings of “Journées Relativistes 1983” (Torino, May 5–8, 1983), Pitagora, Bologna, 1985; pp. 337–372.

    Google Scholar 

  9. GALLETTO D., BARBERIS B., ‘On the Deduction of the Equation of Evolution in Newtonian Cosmology’, Atti Accad. Sci. Torino, 118 (1984), pp. 85–96.

    MathSciNet  Google Scholar 

  10. GALLETTO D., BARBERIS B., ‘Sulla legge di gravitazione univer-sale.I’, Atti Accad. Naz. Lincei Rend., Ser.VIII, 76 (1984), pp. 359–366.

    Google Scholar 

  11. GALLETTO D., BARBERIS B., ‘Extragalactic Celestial Mechanics: an Introduction’, in: Szebehely V.G. (ed.), Stability of the Solar System and its Minor Natural and Artificial Bodies, Proceedings of “The NATO Advanced Study Institute” (Cortina d’Ampezzo, August 6–18, 1984), Reidel, Dordrecht, 1985; pp. 333–347.

    Google Scholar 

  12. GALLETTO D., BARBERIS B., ‘Sui modelli newtoniani e relativistici d’universo omogenei e anisotropi: caso dei modelli del tipo Bianchi I’, in: Boll. Un. Mat. Ital., Ser. VI, Suppl. Vol.IV-A, N.1 (1985), pp. 177–210.

    Google Scholar 

  13. GALLETTO D., ‘Modelli d’universo e propagazione della luce’, in: Atti del “6o Convegno Nazionale di Relatività Generale e Fisica della Gravitazione” (Firenze, 10–13 ottobre 1984) (in print).

    Google Scholar 

  14. GALLETTO D., BARBERIS B., ‘On the Gravitational Paradox’ (to appear).

    Google Scholar 

  15. GALLETTO D., ‘Cosmologia newtoniana e legge di gravitazione uni-versale’ (to appear).

    Google Scholar 

  16. GÖDEL K., ‘An Example of a New Type of Cosmological Solutions of Einstein’s Field Equations of Gravitation’, Rev. Modern Phys., 21 (1949), pp. 447–450.

    Article  ADS  MATH  Google Scholar 

  17. HECKMANN O., SCHÜCKING E., ‘Bemerkungen zur Newtonschen Kosmolo-gie. I’, Z. Astrophys., 38 (1955), pp. 95–109.

    MathSciNet  ADS  Google Scholar 

  18. HECKMANN O., SCHÜCKING E., ‘Bemerkungen zur Newtonschen Kosmolo-gie. II’, Z. Astrophys., 40 (1956), pp. 81–92.

    MathSciNet  ADS  Google Scholar 

  19. HECKMANN O., SCHÜCKING E., ‘Ein Weltmodell der Newtonschen Kosmo-logie mit Expansion und Rotation’, Helv. Phys. Acta, Suppl. IV (1956), pp. 114–115.

    Google Scholar 

  20. HECKMANN O., SCHÜCKING E., ‘Newtonsche und Einsteinsche Kosmolo-gie’, in: Flugge S. (ed.), Handbuch der Physik, 53, Springer-Verlag, Berlin, 1959; pp. 489–519,

    Google Scholar 

  21. HECKMANN O., ‘On the Possible Influence of a General Rotation on the Expansion of the Universe’, Astronom. J., 66 (1961), pp. 599–603.

    Article  MathSciNet  ADS  Google Scholar 

  22. LAYZER D., ‘On the Significance of Newtonian Cosmology’, Astron. J., 59 (1954), pp. 268–270.

    Article  MathSciNet  ADS  Google Scholar 

  23. MAVRIDÈS S., L’Univers relativiste, Masson, Paris, 1973.

    Google Scholar 

  24. McCREA W.H., MILNE E.A., ‘Newtonian Universes and the Curvature of Space’, Quart. J. Math. (Oxford Ser.), 5 (1934), pp. 73–80.

    Article  Google Scholar 

  25. MILNE E.A., ‘A Newtonian Expanding Universe’, Quart. J. Math. (Oxford Ser.), 5 (1934), pp. 64–72.

    Google Scholar 

  26. NARLIKAR J.V., ‘Newtonian Universes with Shear and Rotation’, Mon. Not. Roy. Astronom. Soc, 126 (1963), pp. 203–208.

    MathSciNet  ADS  MATH  Google Scholar 

  27. NARLIKAR J.V., ‘On Newtonian Universes’, Mon. Not. Roy. Astronom. Soc, 131 (1966), pp. 501–502.

    ADS  Google Scholar 

  28. NARLIKAR J.V., Lectures on General Relativity and Cosmology, Mac-Millan Press, London, 1979.

    Google Scholar 

  29. RAYCHAUDHURI A.K., ‘Relativistic and Newtonian Cosmology’, Z. Astrophysik, 43 (1957), pp. 161–164.

    ADS  Google Scholar 

  30. RAYCHAUDHURI A.K., Theoretical Cosmology, Clarendon Press, Oxford, 1979.

    MATH  Google Scholar 

  31. REES M.J., ‘Is the Universe Flat?’, J. Astrophys. Astr., 5 (1984), PP. 331–348.

    Article  ADS  Google Scholar 

  32. SHIKIN I.S., ‘Homogeneous Anisotropic Models with Shear in Newto-nian Cosmology’, Z. Eksper. Teoret. Fiz., 59 (1970), pp. 182–194 [English transl. in: Soviet Physics JETP, 32 (1971), pp. 101–107].

    Google Scholar 

  33. SHIKIN I.S., ‘Analogs of Anisotropic Homogeneous Models of General Relativity in Newtonian Cosmology’, Z. Eksper. Teoret.Fiz., 61 (1971), pp. 445–453 [English transl. in: Soviet Physics JETP, 34 (1972), pp. 236–240].

    Google Scholar 

  34. WEINBERG S., Gravitation and Cosmology: Principles and Applica-tions of the General Theory of Relativity, Wiley, New York, 1972.

    Google Scholar 

  35. ZEL’DOVICH Ya.B., ‘Newtonian and Einsteinian Motion of Homogeneous Matter’, Astronom. Z., 41 (1964), pp. 873–883 [English transl. in: Soviet Astronom.-AJ, 8 (1965), pp. 700–707].

    Google Scholar 

  36. ZEL’DOVICH Ya.B., ‘On Anisotropic Motion of Homogeneous Matter’, Mon. Not. Roy. Astronom. Soc, 129 (1965), pp. 19–20.

    ADS  Google Scholar 

  37. ZEL’DOVICH Ya.B., N0VIK0V I.D., The Structure and Evolution of the Universe (Relativistic Astrophysics, vol.2), Univ. Chicago Press, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 D. Reidel Publishing Company

About this paper

Cite this paper

Galletto, D., Barberis, B. (1986). Extragalactic Celestial Mechanics: The Equation of Evolution. In: Bhatnagar, K.B. (eds) Space Dynamics and Celestial Mechanics. Astrophysics and Space Science Library, vol 127. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4732-0_19

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-4732-0_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8603-5

  • Online ISBN: 978-94-009-4732-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics