The Stability of Schwarzschild Spheres to Radial Perturbations
Open Access
- 1 June 1968
- journal article
- research article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 140 (4) , 445-452
- https://doi.org/10.1093/mnras/140.4.445
Abstract
The Schwarzschild interior solution for a static sphere of perfect fluid is shown to be stable or unstable to radial perturbations according as the adiabatic index γc of the fluid is greater or less than a critical value.Keywords
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