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On the instability of an isentropic model for a gaseous relativistic star. (English) Zbl 0636.76135
It is shown that the isentropic perfect fluid subclass of H. Buchdahl’s exact solution for a gaseous relativistic star [Seventeen simple lectures on general relativity theory (1981; Zbl 0561.53063)] is unstable.

MSC:
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83F05 Cosmology
85A05 Galactic and stellar dynamics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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[1] Kramer, D., Stephani, H., MacCallum, M. A., and Herlt, E. (1980).Exact Solutions of Einstein’s Field Equations (Deutsche Verlag der Wissenschaften, Berlin/Cambridge University Press, Cambridge). · Zbl 0449.53018
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