Non-rigid massive spheres in general relativity

Computer Science – Sound

Scientific paper

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Neutron Stars, Relativity, Stellar Mass, Stellar Models, Stellar Structure, Density Distribution, Equations Of State, Spheres

Scientific paper

Solutions corresponding to spheres with a slowly varying density (proportional to 1 - the ratio of the square of the radius to the square of the size of the sphere times the rigidity parameter) are evaluated. This has been applied to construct a model of a neutron star. The mass of a neutron star comes out to be 3.34 solar masses, when everywhere the speed of sound remains less than the speed of light. Under extreme conditions the mass of a neutron star approaches the limit of 8 solar masses. The mass/radius ratio for the physical condition P = 1/3 the density comes out to be more than that for a constant density sphere.

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