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Dynamics of Relativistic Stellar Systems

Published online by Cambridge University Press:  14 August 2015

J. R. Ipser*
Affiliation:
University of Chicago, Chicago, III., U.S.A.

Abstract

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Relativistic stellar-dynamical systems and their possible occurrence in nature are discussed. Features of the equilibrium models that have been constructed for spherical star clusters in general relativity are delineated. The results of studies of the stability of relativistic spherical clusters are reviewed. It is noted that the results, while not conclusive, indicate that realistic spherical clusters are stable against gravitational collapse if their central redshifts zc ≲ 0.55 and unstable if zc ≳ 0.55. More work is needed on this and other problems.

Type
Part IV/Relativistic Stellar Dynamics
Copyright
Copyright © Reidel 1975 

References

Antonov, V. A.: 1962, Vestnik Leningrad. gos. Univ. 7, 135.Google Scholar
Bisnovatyi-Kogan, G. S. and Thorne, K. S.: 1970, Astrophys. J. 160, 875.CrossRefGoogle Scholar
Bisnovatyi-Kogan, G. S. and Zel'dovich, Ya. B.: 1969, Astrofizika 5, 223.Google Scholar
Fackerell, E. D.: 1968, Astrophys. J. 153, 643.CrossRefGoogle Scholar
Fackerell, E. D.: 1970, Astrophys. J. 160, 859.CrossRefGoogle Scholar
Fackerell, E. D.: 1971, Astrophys. J. 165, 489.CrossRefGoogle Scholar
Fackerell, E. D., Ipser, J. R., and Thorne, K. S.: 1969, Comments Astrophys. Space Phys. 1, 134.Google Scholar
Greenstein, G.: 1969, Astrophys. J. 158, L145.CrossRefGoogle Scholar
Hoyle, F. and Fowler, W. A.: 1967, Nature 213, 373.CrossRefGoogle Scholar
Ipser, J. R.: 1969, Astrophys. J. 158, 17.CrossRefGoogle Scholar
Ipser, J. R.: 1974, Astrophys. J. 193, 463.CrossRefGoogle Scholar
Ipser, J. R.: 1975, ‘On Using Entropy and Energy Arguments to Study the Evolution and Stability of Relativistic Stellar-Dynamical Systems’, Astrophys. J., to be published.CrossRefGoogle Scholar
Ipser, J. R. and Thorne, K. S.: 1968, Astrophys. J. 154, 251.CrossRefGoogle Scholar
Lynden-Bell, D. and Wood, R.: 1968, Monthly Notices Roy. Astron. Soc. 138, 495.CrossRefGoogle Scholar
Zel'dovich, Ya. B. and Novikov, I. D.: 1971, Relativistic Astrophysics, Vol. 1, Stars and Relativity, University of Chicago Press, Chicago.Google Scholar
Zel'dovich, Ya. B. and Podurets, M. A.: 1965, Astron. Zh. 42, 963 (English transl. in 1966, Soviet Astron. 9, 742).Google Scholar