Hostname: page-component-7479d7b7d-m9pkr Total loading time: 0 Render date: 2024-07-09T07:30:12.300Z Has data issue: false hasContentIssue false

Non-Radial Oscillations of Degenerate Dwarfs: A Theoretical Review

Published online by Cambridge University Press:  12 April 2016

H.M. Van Horn*
Affiliation:
Department of Physics and Astronomy and C.E. Kenneth Mees Observatory, University of Rochester, Rochester, N.Y. 14627

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The current status of the theory of non-radial oscillations of white dwarfs and hydrogen shel1-burning degenerate stars, in the linear, quasi-adiabatic approximation, is reviewed. Relevant aspects of the thermal structure of such stars are summarized, and several problem areas requiring further investigation are identified. Among the most interesting and important of these are the question of the existence of g modes in white dwarfs; the nature of the excitation mechanisms for non-radial oscillations; the possibility of tidal excitation; the problem of mode-coupling between pulsations and convection; and the question of the effects of a solid, crystallizing core.

Type
Invited Papers
Copyright
Copyright © Reidel 1976

References

Aizenman, M.L., and Cox, J.P.: 1975, Astrophys. J. 195, 175.Google Scholar
Baglin, A. and Schatzman, E.: 1969, in Low Luminosity Stars (ed. by Kumar, S.S.), Gordon and Breach, New York, p. 385.Google Scholar
Baglin, A. and Vauclair, G.: 1973, Astron. Astrophys. 27, 307.Google Scholar
Böhm, K.-H.: 1968, Astrophys. Space Sci. 2, 375.Google Scholar
Böhm, K.-H.: 1969, in Low Luminosity Stars (ed. by Kumar, S.S.), Gordon and Breach, New York, p. 357.Google Scholar
Böhm, K-H.: 1970, Astrophys. J. 162, 919.Google Scholar
Böhm, K.-H. and Cassinelli, J.P.: 1971a, in Dwarfs, White (ed. by Luyten, W.J.), D. Reidel Publ. Co., Dordrecht, p. 130.Google Scholar
Böhm, K.-H. and Cassinelli, J.P.: 1971b, Astron. Astrophys. 12, 21.Google Scholar
Böhm, K.-H. and Grenfell, T.C.: 1972, Astron. Astrophys. 28, 79.Google Scholar
Brickhill, A.J.: 1975, preprint.Google Scholar
Chandrasekhar, S.: 1935, Monthly Notices Roy. Astron. Soc. 95, 207.Google Scholar
Chandrasekhar, S.: 1957, An Introduction to the Study of Stellar Structure, Dover Publ., Inc., New York.Google Scholar
Chanmugam, G.: 1972, Nature Phys. Sci. 236, 83.Google Scholar
Clayton, D.D.: 1968, Principles of Stellar Evolution and Nucleosynthesis, McGraw-Hill Book Co., New York.Google Scholar
Cowling, T.G.: 1941, Monthly Notices Roy. Astron. Soc. 101, 368.Google Scholar
Cox, J.P.: 1974, unpublished lecture notes, University of Colorado.Google Scholar
Cox, J.P. and Giuli, R.T.: 1968, Principles of Stellar Structure, Gordon and Breach, New York, Chapter 27.Google Scholar
D’Antona, F. and Mazzitelli, I.: 1974, Astrophys. Space Sci. 27, 137.CrossRefGoogle Scholar
D’Antona, F. and Mazzitelli, I.: 1975, Astron. Astrophys. to be published.Google Scholar
Denis, J.: 1972, Astron. Astrophys. 20, 151.Google Scholar
Faulkner, J. and Gribbin, J.R.: 1968, Nature, 218, 734.Google Scholar
Fitch, W.S.: 1973, Astrophys. J. 181, L95.CrossRefGoogle Scholar
Fontaine, G.:1973, Ph.D. thesis, University of Rochester.Google Scholar
Fontaine, G., Van Horn, H.M., Böhm, K.-H., and Grenfell, T.C.: 1974, Astrophys. J. 193, 205.Google Scholar
Gabriel, M., Scuflaire, R., Noels, A., and Boury, A.: 1975, Astron. Astrophys. 40, 33.Google Scholar
Hamada, T. and Salpeter, E.E.: 1961, Astrophys. J. 134, 683.Google Scholar
Hansen, C.J., Lamb, D.Q., and Van Horn, H.M.: 1975, to be published.Google Scholar
Hansen, J.P.: 1973, Phys. Rev. 8A, 3096.Google Scholar
Harper, R.V.R. and Rose, W.K.: 1970, Astrophys. J. 162, 963.Google Scholar
Hesser, J.E., Lasker, B.M., and Osmer, P.S.: 1974, Astrophys. J. 189, 315.CrossRefGoogle Scholar
Lamb, D.Q.: 1974, Ph.D. thesis, University of Rochester.Google Scholar
Lamb, D.Q. and Van Horn, H.M.: 1975, Astrophys. J., in press.Google Scholar
Ledoux, P.: 1951, Astrophys. J. 114, 373.Google Scholar
Ledoux, P.: 1974, in Stellar Stability and Evolution (ed. by Ledoux, P. Noels, A., and Rodgers, A.W.) D. Reidel Publ. Co., Dordrecht, p. 135.Google Scholar
Ledoux, P. and Walraven, Th.: 1958, Handbuch der Physik 51, Springer-Verlag, Berlin, p. 353.Google Scholar
Mestel, L.: 1952, Monthly Notices Roy. Astron. Soc. 112, 583.Google Scholar
Osaki, Y.: 1974, Astrophys. J. 189, 469.Google Scholar
Osaki, Y. and Hansen, C.J.: 1973, Astrophys. J, 185, 277.CrossRefGoogle Scholar
Richer, H.B. and Ulrych, T.J.: 1974, Astrophys. J. 192, 719.Google Scholar
Savedoff, M.P., Van Horn, H.M., and Vila, S.C.: 1969, Astrophys. J. 155, 221.Google Scholar
Schwarzschild, M.: 1958, Structure and Evolution of the Stars, Princeton University Press, Princeton.Google Scholar
Smeyers, P. and Denis, J.: 1971, Astron. Astrophys. 14, 311.Google Scholar
Van Horn, H.M.: 1971, in Dwarfs, White (ed. by Luyten, W.J.), D. Reidel Publ. Co., Dordrecht, p. 97.Google Scholar
Warner, B.: 1973, Monthly Notices Roy. Astron. Soc. 162, 189.CrossRefGoogle Scholar
Warner, B.: 1974, Monthly Notices Roy. Astron. Soc. 167, 61P.Google Scholar
Warner, B.: 1975, this Colloquium.Google Scholar
Warner, B. and Robinson, E.L.: 1972, Nature Phys. Sci. 239, 2.Google Scholar
Wheeler, J.-C., Hansen, C.J., and Cox, J.P.: 1968, Astrophys. Letters, 2, 253.Google Scholar