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The stability of an isentropic model for a gaseous relativistic star

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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 [≡ (M/R), where M is the total mass and R is the radius of the configuration in geometrized units] in the range, 0 <  u ≤  0.20, corresponding to the 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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  1. Department of Physics, Kumaun University, Nainital, 263 002, India

    P. S. Negi

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  1. P. S. Negi
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Correspondence to P. S. Negi.

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Negi, P.S. The stability of an isentropic model for a gaseous relativistic star. Gen Relativ Gravit 39, 529–534 (2007). https://doi.org/10.1007/s10714-007-0402-x

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  • DOI: https://doi.org/10.1007/s10714-007-0402-x

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