Skip to main content
Log in

Mean surface brightness as a criterion for or against the expansion of the Universe

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Using the well-known relation for the mean surface brightness, the author gives the concept of the decision regarding the expansion of the Universe. The most serious obstacle on this way was the low precision of parameter measurements which one could achieve in the past. This paper brings the first step for eventual judgement if the Universe expand or not because the accuracy of measurements has advanced. In this sence, we need some more determinations with present accuracy to give the decisive result because the mean surface brightness must faint by 1.46 mag per square arc sec for red shift of 0.4, and this is sufficient to measure and statistically elaborate it.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aaronson, M., Huchra, J., Mould, J., Tully, R. B., Fisher, J. R., van Woerden, H., Goss, W. M., Chamaraux, P., Mebold, U., Siegman, B., and Persson, S. E.: 1982,Astrophys. J. Suppl. 50, 241.

    Google Scholar 

  • Ables, H. D.: 1971,Publ. U.S. Naval Obs. 20, Part IV. 1.

    Google Scholar 

  • Ables, H. D. and Ables, P. G.: 1977,Astrophys. J., Suppl. 34, 245.

    Google Scholar 

  • Arakelian, M. A.: 1974,Astrofizika 10, 507.

    Google Scholar 

  • Auman, J. R., Fahlman, G. G., and Hickson, P.: 1986,Publ. Astron. Soc. Pacific 98, 1213.

    Google Scholar 

  • Baiesi-Pillastrini, G. C. and Palumbo, G. G. C.: 1986,Astron. Astrophys. 163, 1.

    Google Scholar 

  • Balkowski, C.: 1973,Astron. Astrophys. 29, 43.

    Google Scholar 

  • Binggeli, B., Sandage, A., and Tarenghi, A.: 1984,Astron. J. 89, 64.

    Google Scholar 

  • Blanco, V. M. and Heathcote, S.: 1986,Publ. Astron. Soc. Pacific 98, 635.

    Google Scholar 

  • Boroson, T. A.: 1981,Astrophys. J. Suppl. 46, 177.

    Google Scholar 

  • Bothun, G. D., Beers, T. C., Mould, J. R., and Huchra, J. P.: 1985,Astron. J. 90, 2487.

    Google Scholar 

  • Bottinelli, L., Gouguenheim, L., and Paturel, G.: 1982,Astron. Astrophys. Suppl. 47, 171.

    Google Scholar 

  • Bottinelli, L., Gouguenheim, L., and de Vaucouleurs, G.: 1983,Astron. Astrophys. 118, 4.

    Google Scholar 

  • Bottinelli, L., Gouguenheim, L., Paturel, g., and de Vaucouleurs, G.: 1985,Astrophys. J. Suppl. 59, 293.

    Google Scholar 

  • Burstein, D. and Heiles, C.: 1984,Astrophys. J. Suppl. 54, 33.

    Google Scholar 

  • Caldwell, J. A. R. and Coulson, I. M.: 1985,Monthly Notices Roy. Astron. Soc. 212, 879.

    Google Scholar 

  • Caldwell, J. A. R. and Coulson, I. M.: 1986,Monthly Notices Roy. Astron. Soc. 218, 223.

    Google Scholar 

  • Christian, C. A. and Schommer, R. A.: 1987,Astron. J. 93, 557.

    Google Scholar 

  • Cottrell, G. A.: 1976,Monthly Notices Roy. Astron. Soc. 177, 463.

    Google Scholar 

  • De Jong, M. L.: 1967,Astrophys. J. 150, 1.

    Google Scholar 

  • De Sitter, W.: 1917,Monthly Notices Roy. Astron. Soc. 78, 3.

    Google Scholar 

  • De Vaucouleurs, G.: 1958,Astrophys. J. 128, 465.

    Google Scholar 

  • De Vaucouleurs, G.: 1959a,Astron. J. 64, 397.

    Google Scholar 

  • De Vaucouleurs, G.: 1959b,Astrophys. J. 130, 728.

    Google Scholar 

  • De Vaucouleurs, G.: 1960,Astrophys. J. 131, 574.

    Google Scholar 

  • De Vaucouleurs, G.: 1961,Astrophys. J. Suppl. 5, 233.

    Google Scholar 

  • De Vaucouleurs, G.: 1977,Astrophys. J. Suppl 33, 211.

    Google Scholar 

  • De Vaucouleurs, G.: 1978a,Astrophys. J. 223, 730.

    Google Scholar 

  • De Vaucouleurs, G.: 1978b,Astrophys. J. 224, 14.

    Google Scholar 

  • De Vaucouleurs, G.: 1978c,Astrophys. J. 224, 710.

    Google Scholar 

  • De Vaucouleurs, G. and Davoust, E.: 1980,Astrophys. J. 239, 783.

    Google Scholar 

  • De Vaucouleurs, G. and Page, J.: 1962,Astrophys. J. 136, 107.

    Google Scholar 

  • De Vaucouleurs, G., de Vaucouleurs, A., and Buta, R.: 1981,Astron. J. 86, 1429.

    Google Scholar 

  • De Vaucouleurs, G., de Vaucouleurs, A., and Buta, R.: 1983,Astron. J. 88, 765.

    Google Scholar 

  • De Vaucouleurs, G., de Vaucouleurs, A., and Corwin, H. G.: 1976,Second Reference Catalogue of Bright Galaxies, University of Texas Press, Austin.

    Google Scholar 

  • Disney, M. J. and Phillipps, S.: 1983,Monthly Notices Roy. Astron. Soc. 205, 1253.

    Google Scholar 

  • Disney, M. J. and Phillipps, S.: 1985,Monthly Notices Roy. Astron. Soc. 216, 53.

    Google Scholar 

  • Dreyer, J. L. E.: 1888,Mem. Roy. Astron. Soc. 49, Part I, 1.

    Google Scholar 

  • Dreyer, J. L. E.: 1908,Mem. Roy. Astron. Soc. 59, Part II, 105.

    Google Scholar 

  • Einstein, A.: 1917,Sitzungsber. K. Preuss. Akad. Wiss., p. 142.

  • Elsässer, H.: 1958,Z. Astrophys. 45, 24.

    Google Scholar 

  • Elsässer, H.: 1959,Z. Astrophys. 47, 1.

    Google Scholar 

  • Epstein, E. E.: 1964,Astron. J. 69, 490.

    Google Scholar 

  • Fabbiano, G. and Trinchieri, G.: 1985,Astrophys. J. 296, 430.

    Google Scholar 

  • Faber, S. M. and Gallagher, J. S.: 1979,Ann. Rev. Astron. Astrophys. 17, 135.

    Google Scholar 

  • Fisher, J. R. and Tully, R. B.: 1975,Astron. Astrophys. 44, 151.

    Google Scholar 

  • Fisher, J. R. and Tully, R. B.: 1979,Astron J. 84, 62.

    Google Scholar 

  • Freedman, W., Grieve, G. R., and Madore, B.: 1985,Astrophys. J. Suppl. 59, 311.

    Google Scholar 

  • Freeman, K. C.: 1970,Astrophys. J. 160, 811.

    Google Scholar 

  • Freeman, K. C.: 1978, ‘Structure and Properties of Nearby Galaxies’, in E. M. Berkhuijsen and R. Wielebinski (eds.),IAU Symp. 77, 3, 7.

  • Grosbøl, P. J.: 1985,Astron. Astrophys. Suppl. 60, 261.

    Google Scholar 

  • Haarala, S. and Teerikorpi, P.: 1986,Astrophys. Space Sci. 122, 163.

    Google Scholar 

  • Heidmann, J.: 1967,Compt. Rend. Acad. Sci. Paris. 265, Ser. B. 866.

    Google Scholar 

  • Heidmann, J.: 1969,Astrophys. Letters 3, 19.

    Google Scholar 

  • Heidmann, J., Heidmann, N., and de Vaucouleurs, G.: 1971,Mem. Roy. Astron. Soc. 75, 85.

    Google Scholar 

  • Hitchcock, J. L. and Hodge, P. W.: 1968,Astrophys. J. 152, 1067.

    Google Scholar 

  • Hodge, P. W.: 1967,Astrophys. J. 148, 719.

    Google Scholar 

  • Hodge, P. W.: 1978,Astrophys. J. Suppl. 37, 145.

    Google Scholar 

  • Holmberg, E.: 1957,Medd. Lunds. Obs. 2, No. 136, 3.

    Google Scholar 

  • Holmberg, E.: 1964,Uppsala Astron. Obs. Medd., No., 148, 388.

    Google Scholar 

  • Holmberg, E.: 1975, in A. Sandage, M. Sandage, and J. Kristian (eds),Stars and Stellar Systems IX, University of Chicago Press, Chicago, p. 123.

    Google Scholar 

  • Hubble, E.: 1929,Proc. U.S. Nat. Acad. Sci. 15, 168.

    Google Scholar 

  • Hubble, E.: 1936,The Realm of the Nebulae, Yale University Press, New Haven.

    Google Scholar 

  • Huchra, J., Davis, M., Latham, D., and Tonry, J.: 1983,Astrophys. J. Suppl. 52, 89.

    Google Scholar 

  • Karachentsev, I. D., Karachentseva, V. E., and Shcherbanovskii, A. L.: 1985,Astrofiz. Issled. — Izv. Spets. Astrofiz. Obs. 19, 3 (translation inBull. Spec. Astrophys. Obs. 19, 3).

    Google Scholar 

  • Kennicut, R. C.: 1982,Astron. J. 87, 255.

    Google Scholar 

  • Kent, S. M.: 1984,Astrophys. J. Suppl. 56, 105.

    Google Scholar 

  • Kodaira, K., Okamura, S., and Watanabe, M.: 1983,Astrophys. J. 274, L49.

    Google Scholar 

  • Kormendy, J.: 1977,Astrophys. J. 218, 333.

    Google Scholar 

  • Kraan-Korteweg, R. C. and Tammann, G. A.: 1979,Astron. Nachr. 300, 181.

    Google Scholar 

  • Kristian, J. and Sachs, R. K.: 1966,Astrophys. J. 143, 379.

    Google Scholar 

  • Lari, C., Vettolani, G., and Zamorani, G.: 1978,Astron. Astrophys. 69, 271.

    Google Scholar 

  • Longmore, A. J., Harwarden, T. G., Goss, W. M., Mebolt, U., and Webster, B. L.: 1982,Monthly Notices Roy. Astron. soc. 200, 325.

    Google Scholar 

  • Madore, B. F.: 1976,Monthly Notices Roy. Astron. Soc. 177, 157.

    Google Scholar 

  • Matthews, T. A., Morgan, W. W., and Schmidt, M.: 1964,Astrophys. J. 140, 35.

    Google Scholar 

  • Messier, Ch.: 1781, inCatalogue ‘Connaissance des Temps 1783’, Acad. R. des Science, Paris.

    Google Scholar 

  • Michard, R.: 1979,Astron. Astrophys. 74, 206.

    Google Scholar 

  • Moss, C. and de Vaucouleurs, G.: 1986,Publ. Astron. Soc. Pacific 98, 1286.

    Google Scholar 

  • Nilson, P.: 1973,Ann. Uppsala Astron. Obs. 6, 1.

    Google Scholar 

  • Okamura, S., Kodaira, K., and Watanabe, M.: 1984,Astrophys. J. 280, 7.

    Google Scholar 

  • Okamura, S., Takase, B., and Kodaira, K.: 1977Publ. Astron. Soc. Japan 29, 567.

    Google Scholar 

  • Oke, J. B.: 1962, in G. C. McVittie (ed.),Problems of Extragalactic Research, Macmillan Co., New York, p. 34.

    Google Scholar 

  • Oke, J. B. and Sandage, A. R.: 1968,Astrophys. J. 154, 21.

    Google Scholar 

  • Peterson, B. M., Strom, S. E., and Strom, K. M.: 1970,Astron. J. 84, 735.

    Google Scholar 

  • Phillips, S. and Disney, M.: 1986,Monthly Notices Roy. Astron. Soc. 221, 1039.

    Google Scholar 

  • Robertson, H. P.: 1933,Rev. Mod. Phys. 5, 62.

    Google Scholar 

  • Robertson, H. P.: 1938,Z. Astrophys. 15, 69.

    Google Scholar 

  • Rogstad, D. H., Rougoor, G. W., and Whiteoak, J. B.: 1967,Astrophys. J. 150, 9.

    Google Scholar 

  • Romanishin, W., Strom, K. M., and Strom, S. E.: 1983,Astrophys. J. Suppl. 53, 105.

    Google Scholar 

  • Sandage, A. R.: 1961a,Astrophys. J. 133, 355.

    Google Scholar 

  • Sandage, A. R.: 1961b,The Hubble Atlas of Galaxies, Carnegie Institution of Washington, Washington.

    Google Scholar 

  • Sandage, A. R.: 1962, ‘Problems of Extragalactic Research’, in G. C. McVittie (ed.),IAU Symp. 15, 361.

  • Sandage, A. R.: 1983, ‘Internal Kinematics and Dynamics of Galaxies’, in E. Athanasoula (ed.),IAU Symp. 100, 367.

  • Sandage, A. R.: 1986,Astron. J. 91, 496, 669.

    Google Scholar 

  • Sandage, A. R. and Tammann, G. A.: 1974a,Astrophys. J. 190, 525.

    Google Scholar 

  • Sandage, A. R. and Tammann, G. A.: 1974b,Astrophys. J. 191, 603.

    Google Scholar 

  • Sandage, A. R. and Tammann, G. A.: 1974c,Astrophys. J. 194, 223.

    Google Scholar 

  • Sandage, A. R. and Tammann, G. A.: 1981,A Revised Shapley-Ames Catalog of Bright Galaxies, Carnegie Institution of Washington, Washington.

    Google Scholar 

  • Schweizer, F.: 1976,Astrophys. J. Suppl. 31, 313.

    Google Scholar 

  • Segal, I. E.: 1975,Proc. U.S. Nat. Acad. Sci. 72, 2473.

    Google Scholar 

  • Segal, I. E.: 1985,Publ. Astron. Soc. Japan 37, 499.

    Google Scholar 

  • Sérsic, J. L.: 1980,Extragalactic Astronomy, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • Shapley, H. and Ames, A.: 1932,Ann. Astron. Obs. Harvard, Vol. 88, p. 43.

    Google Scholar 

  • Shostak, G. S.: 1978,Astron. Astrophys. 68, 321.

    Google Scholar 

  • Skillman, E. D. and Bothun, G. D.: 1986,Astron. Astrophys. 165, 45.

    Google Scholar 

  • Souček, J.: 1983,Astrophys. Space Sci. 94, 319 (Paper I).

    Google Scholar 

  • Souček, J.: 1986,Astrophys. Space Sci. 121, 161 (Paper II).

    Google Scholar 

  • Souček, J.: 1987,Astrophys. Space Sci.,137, 347 (Paper III).

    Google Scholar 

  • Stenning, M. and Hartwick, F. D. A.: 1980,Astron. J. 85, 101.

    Google Scholar 

  • Stock, J. and Schücking, E.: 1957,Astron. J. 62, 98.

    Google Scholar 

  • Tammann, G. and Sandage, A. R.: 1968,Astrophys. J. 151, 825.

    Google Scholar 

  • Tammann, G. A. and Sandage, A. R.: 1983,Highlights of Astron. 6, 301.

    Google Scholar 

  • Thonnard, N.: 1983, ‘Internal Kinematics and Dynamics of Galaxies’, in E. Athanassoula (ed.),IAU Symp. 100, 305.

  • Tolman, R. C.: 1930,Proc. U.S. Nat. Acad. Sci. 16, 511.

    Google Scholar 

  • Van den Bergh, S.: 1959,Publ. David Dunlop Obs. II, Nos. 5 and 6.

  • Van den Bergh, S.: 1960a,Astrophys. J. 131, 215.

    Google Scholar 

  • Van den Bergh, S.: 1960b,Publ. David Dunlop Obs. II, No.6, 159.

    Google Scholar 

  • Van den Bergh, S.: 1966,Astron. J. 71, 922.

    Google Scholar 

  • Van den Bergh, S.: 1968,J. Roy. Astron. Soc. Can. 62, 145, 219.

    Google Scholar 

  • Van den Bergh, S.: 1974, ‘The Formation and Dynamics of Galaxies’, in J. R. Shakeshaft (ed.),IAU Symp. 58, 157.

  • Van den Bergh, S.: 1975, in A. Sandage, M. Sandage, and J. Kristian (eds.),Stars and Stellar Systems IX, University of Chicago Press, Chicago, p. 509.

    Google Scholar 

  • Van den Bergh, S.: 1980,Astrophys. J. 235, 1.

    Google Scholar 

  • Van Woerden, H., van Driel, W., and Schwartz, U. J.: 1983, ‘Internal Kinematics and Dynamics of Galaxies’, in E. Athanassoula (ed.),IAU Symp. 100, 99.

  • Waldron, R. A.: 1985,Specul. Sci. Technol. 8, 315.

    Google Scholar 

  • Walker, A. R.: 1987,Monthly Notices Roy. Astron. Soc. 224, 935.

    Google Scholar 

  • Watanabe, M., Kodaira, K., and Okamura, S.: 1982,Astrophys. J. Suppl. 50, 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Souček, J. Mean surface brightness as a criterion for or against the expansion of the Universe. Astrophys Space Sci 141, 103–131 (1988). https://doi.org/10.1007/BF00641918

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00641918

Keywords

Navigation