Some physical properties and stability of an exact model of a relativistic star

Physics

Scientific paper

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Relativistic Theory, Stellar Models, Stellar Physics, Dynamic Stability, Equations Of State, Gravitational Fields, Light Speed

Scientific paper

The properties of an exact solution of Einstein's field equations for an isentropic fluid sphere, found independently by Adler (1974), Kuchowicz (1975), and Adams and Cohen (1975), are investigated. It is found that the most important parameter in the solution is the degree of compressibility y. If y is less than 0.82, the fluid sphere is stable; then, the weak energy condition is fulfilled, and the speed of sound is less than the speed of light. In this case, the adiabatic index is also increasing outward. However, for the strong energy condition to hold everywhere inside the sphere, the degree of compressibility must be less than 0.58. If y is somewhat greater than 0.65, the speed of sound is increasing from the origin outwards to a certain layer. Outwards from that layer to the boundary of the fluid sphere, the sound speed is decreasing.

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