On the existence of stable relativistic star clusters with arbitrarily large central redshifts

1989 ◽  
Vol 336 ◽  
pp. L63 ◽  
Author(s):  
Frederic A. Rasio ◽  
Stuart L. Shapiro ◽  
Saul A. Teukolsky
Pramana ◽  
1980 ◽  
Vol 15 (1) ◽  
pp. 53-63
Author(s):  
M C Durgapal ◽  
P S Rawat ◽  
R Banerji

1976 ◽  
Vol 203 ◽  
pp. 477 ◽  
Author(s):  
K. G. Suffern ◽  
E. D. Fackerell

1968 ◽  
Vol 1 (3) ◽  
pp. 86-87 ◽  
Author(s):  
E.D. Fackerell

Recently the possibility has been raised of using general relativistic star clusters as models for quasi-stellar sources. The theory of static, spherically symmetric, collisionless star clusters has been developed within the framework of general relativity. In particular, analogues have been found of the Newtonian polytropic models and of Woolley’s truncated Maxwellian systems. However, in view of the importance of rotation on stability in relativistic astrophysical problems, it is of considerable interest to include the effect of rotation in relativistic stellar dynamics.


1976 ◽  
Vol 29 (4) ◽  
pp. 311 ◽  
Author(s):  
Edward D Fackerell ◽  
Kevin G Suffern

The structure and dynamic stability of isothermal relativistic star clusters are discussed both for the case of clusters without dispersion in stellar rest mass and for two families of clusters with dispersion in stellar rest mass. We show that the former are dynamically unstable if the central redshift is greater than about 0'5, and that the latter are dynamically unstable if the central redshift is greater than about O' 6, so that the inclusion of dispersion in mass does not greatly affect the stability of isothermal relativistic star clusters.


1975 ◽  
Vol 69 ◽  
pp. 433-439 ◽  
Author(s):  
E. D. Fackerell

The analytic aspects of the Campbell-Hénon method of concentric spherical shells are generalized for application to relativistic spherically symmetric star clusters.


1994 ◽  
Vol 49 (10) ◽  
pp. 5153-5164 ◽  
Author(s):  
Andrew M. Abrahams ◽  
Gregory B. Cook ◽  
Stuart L. Shapiro ◽  
Saul A. Teukolsky

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