Abstract
Approximate metries for clusters embedded in an expanding Robertson/Walker background (Section 1) indicate that in general clusters of galaxies cannot remain uninfluenced by the expansion. The potential for an expanding cluster (Section 2) is seen to suggest that clusters as presently observed are not in static equilibrium and that the missing mass problem can be elucidated via use of the virial theorem (Section 3) given certain density conditions in compact clusters. Non-compact clusters can be treated similarly, and it is found that the behaviour of a low-density cluster is equivalent to that of a domain of a Friedmann (k=0) model Universe (Section 4). The treatment of compact clusters (Section 5) is based on approximate metrics for clusters embedded in a Robertson/Walker background. These comparisons lead to information on the evolution of non-compact clusters and compact clusters (Section 7), and to observable consequences that seem to be borne out successfully (Section 8). Data on clusters themselves tend to show that there exists an expanding supercluster and/ or that Λ>0 (Section 9). Several tests of the hypothesis of expansion of clusters (Section 10) are proposed.
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References
Abell, G. O.: 1961,Astron. J. 66, 607–613.
Alfvén, H.: 1966, inWorlds — Antiworlds, W. H. Freeman Ltd., London. pp. 94–96.
Ambartsumian, V. A.: 1961,Astron. J. 66, 536–540.
Anderson, J. L.: 1967,Principles of Relativity Physics, Academic Press Ltd., London. (484 pp.).
Bondi, H.: 1947,Monthly Notices Roy. Astron. Soc. 107, 410–425.
Bondi, H.: 1961,Cosmology, 2nd edn., Cambridge University Press, London, pp. 102–106.
Cavaliere, A. G., Gursky, H., and Tucker, W. H., 1971,Nature 321, 437–438.
Chandrasekhar, S. and Elbert, D. D.: 1972,Monthly Notices Roy. Astron. Soc. 155, 435–447.
De Vaucouleurs, G.: 1958,Astron. J. 63, 253–266.
De Vaucouleurs, G.: 1960,Astrophys. J. 131, 585–597.
De Vaucouleurs, G.: 1970,Science 167, 1203–1213.
De Vaucouleurs, G. and Wertz, J. R.: 1971,Nature 230, 109.
Finzi, A.: 1963,Monthly Notices Roy. Astron. Soc. 127, 21–30.
Forman, W. A.: 1970,Astrophys. J. 159, 719–722.
Gamow, G.: 1958, in M. K. Munitz (ed.), Theories of the Universe Free Press Ltd., p. 393 et seq.
Giovanelli, R. G.: 1964,Monthly Notices Roy. Astron. Soc. 127, 461–469.
Gold, T.: 1973,Nature 242, 24–25.
Gott, J. R. and Gunn, J. E.: 1971,Astrophys. J. Letters 169, L13-L15.
Irvine, W. M.: 1965,Ann. Phys. 32, 322–347.
Jackson, J. C.: 1970,Monthly Notices Roy. Astron. Soc. 148, 249–260.
Kalitzin, N. St.: 1964, in L. Infeld (ed.),Relativistic Theories of Gravitation, Pergamon Press, London, pp. 87–90.
Kiang, T.: 1967,Monthly Notices Roy Astron. Soc. 135, 1–22.
Layzer, D.: 1968, in M. Chrétien, S. Deser, and J. Goldstein (eds.),Astrophysics and General Relativity (Brandeis University Summer Institute in Theoretical Physics), Gordon and Breach Ltd., London, pp. 152–233.
MacDougall, J., Butler, R., Kronberg, P., and Sandquist, A.: 1963,Nature 199, 1080.
McCrea, W. H.: 1964,Monthly Notices Roy Astron. Soc. 128, 335–344.
McCrea, W. H.: 1970,Nature 228, 21–24.
McVittie, G. C.: 1964,Astrophys. J. 140, 401–416.
McVittie, G. c.: 1966,Astrophys. J. 143, 682–688.
McVittie, G. C.: 1967,Liège Colloq. on Gravitational Instability, No. 23, Inst. D'Astrophys., Cointe Sclessin, Belgique, pp. 41–43.
Miley, G. K., Perola, G. C., Van der Kruit, P. C., and Van der Laan, H.: 1972,Nature 237, 269–272.
Noerdlinger, P. D.: 1970,Nature 228, 845.
Noerdlinger, P. D.: 1972,Nature 232, 393.
Noerdlinger, P. D. and Petrosian, V.: 1971,Astrophys. J. 168, 1–9.
Robertson, H. P. and Noonan, T. W.: 1968,Relativity and Cosmology, W. B. Saunders and Co. Ltd., London.
Rood, H. J. Rothman, C. A., and Turnrose, B. E.: 1970,Astrophys. J. 162, 411–423.
Rood, H. J., Page, T. L., Kintner, E. C., and King, I. R.:Astrophys. J. 175, 627–647.
Rubin, V. and Ford, W. K.: 1973,Astrophys. J. Letters 183, L111.
Sandage, A.: 1968,Astrophys. J. Letters 152, L149-L154.
Scott, E. L., Shane, C. D., and Swanson, M. D.: 1954,Astrophys. J. 119, 91–112.
Tolman, R. C.: 1934,Proc. Mat., Acad. Sci. U.S.A. 29, 169–176.
Toomre, A. and Toomre, J.: 1972,Astrophys. J. 178, 623–666.
Van Albada, G. B.: 1961,Astron. J. 66, 590–598.
Van den Bergh, S.: 1961,Astron. J. 66, 566–571.
Wertz, J. R.: 1971,Astrophys. J. 164, 227–236.
Wesson, P. S.: 1973,Quart. J. Roy. Astron. Soc. 14, 9–64.
Wilson, A. G.: 1966,Astrophys. J. 71, 402–403.
Wilson, A. G.: 1967,Astrophys. J. 72, 326–327.
Wright, A. E.: 1972,Monthly Notices Roy. Astron. Soc. 157, 309–333.
Yahil, A.: 1973, Princeton preprint.
Zel'dovich, Ya. B. and Novikov, I. D.: 1971,Relativistic Astrophysics, Vol. 1., Univ. of Chicago Press, Chicago, U.S.A.
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Wesson, P.S. Expanding clusters of galaxies as components of a relativistic hierarchical cosmology. Astrophys Space Sci 30, 95–114 (1974). https://doi.org/10.1007/BF00645755
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DOI: https://doi.org/10.1007/BF00645755