Abstract
Massive spherical configurations with an isothermal core and an inverse-square variation of density in the envelope have been studied. It is found that such structures are pulsationally stable. Keeping in view the relativistic restriction on the speed of a signal (vs<or=c), it is found that Kmax=0.80 for such structures. The maximum surface and central red shifts are found to be 0.502 and 28.7 respectively. An application of such structures to the case of a neutron star gives the maximum mass and size of the star to be 2.31 M(.) and 12.2 km.
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