Physics – Condensed Matter
Scientific paper
May 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.232..163k&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 232, May 1, 1988, p. 163-174.
Physics
Condensed Matter
17
Condensed Matter Physics, Dynamic Stability, Einstein Equations, Relativistic Theory, Stellar Models, Stellar Physics, Acoustic Velocity, Adiabatic Conditions, Black Holes (Astronomy), Boundary Conditions, Boundary Value Problems, Ideal Gas, Isentropic Processes, Light Speed, Neutron Stars, Schwarzschild Metric
Scientific paper
The Vasidya-Tikekar (1982) model for a relativistic superdense star is examined in detail. A trial-function space is numerically investigated, and the result strongly indicates that the isentropic subclass of the model is stable. The necessary and sufficient criterion for the adiabatic speed of sound to be less than the speed of light is given, and it is shown that, if the sound speed is less than the speed of light, the sound speed cannot be strictly decreasing outward from the center. The adiabatic index is shown to be larger than two and, with a new boundary condition to obtain the maximum mass, an upper bound of three solar masses is found.
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