Astrophysics and Space Science

, Volume 182, Issue 2, pp 261–280 | Cite as

A theory for expanding, large-scale, isolated, spherically-symmetric density perturbations with null peculiar velocity field

  • E. Andriani
  • R. Caimmi


Exact theory for expanding density perturbations under the following assumptions: (i) Friedmann universes made of dust only; (ii) spherically-symmetric perturbations (iii) isolated perturbations; (iv) null peculiar velocity field; is reviewed and extended. The overdensity equation is derived and the related solution is determined concerning both mean overdensity and local overdensity, and including both the growing and the decreasing mode, in terms of non-dimensional variables normalized to the initial configuration. A first-order and zero-order approximation to the exact theory is also performed in view of applications to specific problems, e.g., the acquisition of angular momentum by tidal torques. The idealized case presented here makes a necessary reference in dealing with more general situations involving both analytical and numerical approaches.


Dust Torque Angular Momentum Velocity Field Specific Problem 
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  1. Blumenthal, G. R., Faber, S. M., Primak, J. R., and Rees, M. J.: 1984,Nature 311, 517.Google Scholar
  2. Caimmi, R.: 1989,Astron. Astrophys. 223, 29.Google Scholar
  3. Caimmi, R.: 1990,Astron. Astrophys. (in press).Google Scholar
  4. Caimmi, R., Andriani, E., and Secco, L.: 1990,Astrophys. Space Sci. 168, 131.Google Scholar
  5. Gunn, J. E.: 1987,The Galaxy, NATO ASI Ser. C207, D. Reidel Publ. Co., Dordrecht, Holland, p. 413.Google Scholar
  6. Kurskov, A. A. and Ozernoy, L. M.: 1975,Soviet Astron. 19 (5), 569.Google Scholar
  7. Nariai, H.: 1970,Progr. Theor. Phys. 44, 110.Google Scholar
  8. Peebles, P. J. E.: 1980,The Large-Scale Structure of the Universe, Princeton University Press, Princeton, New Jersey.Google Scholar
  9. Ryden, B. S.: 1988a,Astrophys. J. 329, 589.Google Scholar
  10. Ryden, B. S.: 1988b,Astrophys. J. 333, 78.Google Scholar
  11. Ryden, B. S. and Gunn, J. E.: 1987,Astrophys. J. 318, 15.Google Scholar
  12. Silk, J.: 1974,Astrophys. J. 193, 525.Google Scholar
  13. Zeldovich, J. B. and Novikov, I. D.: 1982,Struttura ed evoluzione dell'Universo, 2 vol., MIR, Moscow.Google Scholar

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • E. Andriani
    • 1
  • R. Caimmi
    • 2
  1. 1.Istituto Tecnico Industriale Statale ‘F. Severi’PadovaItalia
  2. 2.Dipartimento di AstronomiaUniversità di PadovaPadovaItalia

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