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The Stability of an Isentropic Model for a Gaseous Relativistic Star

P. S. Negi
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Abstract

We show that the isentropic subclass of Buchdahl's exact solution for a gaseous relativistic star is stable and gravitationally bound for all values of the compactness ratio $u [\equiv (M/R)$, where $M$ is the total mass and $R$ is the radius of the configuration in geometrized units] in the range, $0 < u \leq 0.20$, corresponding to the {\em regular} behaviour of the solution. This result is in agreement with the expectation and opposite to the earlier claim found in the literature.

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P. S. Negi. 2007-02-01. The Stability of an Isentropic Model for a Gaseous Relativistic Star. https://doi.org/10.1007/s10714-007-0402-x

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