# The Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity.

@article{Chandrasekhar1964TheDI, title={The Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity.}, author={Subrahmanyan Chandrasekhar}, journal={The Astrophysical Journal}, year={1964}, volume={140}, pages={417-433} }

ABSTRACT In this paper the theory of the infinitesimal, baryon-number conserving, adiabatic, radial oscillations of a gas sphere is developed in the framework of general relativity. A variational base for determining the characteristic frequencies of oscillation is established. It provides a convenient method for obtaining sufficient conditions for the occurrence of dynamical instability. The principal result of the analysis is the demonstration that the Newtonian lower limit f, for the ratio… Expand

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