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The Significance of Newtonian Cosmology

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The Big Bang and Georges Lemaître
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Abstract

Starting from the hypotheses that the physical space is Euclidean, that the Universe is infinite and homogeneous and that with regard to our galaxy its behaviour is isotropic, without resorting to Newton’s law of gravitation we deduce Hubble’s law, the law of motion of a typical galaxy, the equation of evolution of the Universe, that the force at a distance exerted between any two galaxies is expressed by Newton’s law of gravitation, etc. Adding the hypothesis that the velocity of light is independent of its source, we obtain that the metric of spacetime is necessarily given by the Einstein-de Sitter metric, that the tensorial form of the equations of Newtonian cosmology is given by Einstein’s gravitational equations, etc.

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References

  1. BARBERIS B., GALLETTO D., Further Remarks on a Paper by P.T. Landsberg, Atti Accad. Sci. Torino, 112 (1978), pp. 103–107.

    ADS  Google Scholar 

  2. BARBERIS B., GALLETTO D., On the Deduction of the Equation of Evolution in Newtonian Cosmology, Atti Accad. Sci. Torino, 118 (1984) (in print).

    Google Scholar 

  3. BARBERIS B., GALLETTO D., On the Newtonian Paradox, I, Atti Accad. Naz. Lincei Rend, (to appear).

    Google Scholar 

  4. CALLAN C., DICKE R.H., PEEBLES P.J.E., Cosmology and Newtonian Mechanics, Amer. J. Phys., 33 (1965), pp. 105–108.

    Article  ADS  MATH  Google Scholar 

  5. EINSTEIN A., de SITTER W., On the Relation between the Expansion and the Mean Density of the Universe, Proc. Nat. Acad. Sci., 18 (1932), pp. 213–214.

    Article  ADS  Google Scholar 

  6. GALLETTO D., Sui fondamenti della meccanica classica, della teoria newtoniana della gravitazione e della cosmologia newtoniana, in: “Atti del 3° Convegno Nazionale di Relatività Generale e Fisica 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, ins “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., Sui modelli newtoniani di universo omogenei e anisotropi, in: “Atti del Convegno su ‘Problemi attuali di fisica teorica’, Torino, 12–13 dicembre 1980”, Accademia delle Scienze, Torino, 1981; pp. 211–224.

    Google Scholar 

  9. GALLETTO D., BARBERIS B., Considerazioni sul paradosso newtoniano, in: “Atti del Convegno celebrativo dell’80° anniversario della nascita di Renato Calapso, Messina-Taormina, 1–4 aprile 1981”, Veschi, Roma, 1983; pp. 153–164.

    Google Scholar 

  10. GALLETTO D., Sulla metrica dello spazio-tempo. II, Atti Accad. Sci. Torino, 115 (1981) (in print).

    Google Scholar 

  11. GALLETTO D., Premesse alla cosmologia razionale, Rend. Sem. Mat. Univ. Padova, 68 (1982), pp. 295–324.

    MathSciNet  Google Scholar 

  12. GALLETTO D., BARBERIS B., Newtonian Cosmology and Newton’s Law of Gravitation (to appear).

    Google Scholar 

  13. LANDSBERG P.T., A Deduction of the Inverse Square Law from Newtonian Cosmology, Nature phys. Sci., 244 (1973), pp. 66–67.

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  15. 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 

  16. McCREA W.H., On the Significance of Newtonian Cosmology, Astron. J., 60 (1955), pp. 271–274.

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  Google Scholar 

  18. NORTH J.D., The Measure of the Universe, Clarendon Press, Oxford, 1965.

    Google Scholar 

  19. WEINBERG S., Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley, New York, 1972.

    Google Scholar 

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© 1984 D. Reidel Publishing Company, Dordrecht, Holland

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Galletto, D., Barberis, B. (1984). The Significance of Newtonian Cosmology. In: Berger, A. (eds) The Big Bang and Georges Lemaître. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6487-7_8

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  • DOI: https://doi.org/10.1007/978-94-009-6487-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6489-1

  • Online ISBN: 978-94-009-6487-7

  • eBook Packages: Springer Book Archive

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