Abstract
Gravitational instability of small perturbations propagating through the central area of a gas cloud is discussed regarding the basic state and taking into account radiative pressure. Instability criterion similar to Jean's one is obtained and it was shown that the inhomogeneity can act in two ways, to stabilize or destabilize the system, depending on the value of the second derivative of the basic state temperature.
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Vranješ, J. Gravitational instability of a quasi-homogeneous plasma cloud with radiation. Astrophys Space Sci 173, 293–298 (1990). https://doi.org/10.1007/BF00643937
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DOI: https://doi.org/10.1007/BF00643937