Regular exact models for a nonstatic gas sphere in general relativity

Computer Science – Sound

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Astronomical Models, Gas Dynamics, Relativity, Supernovae, Abundance, Density Distribution, Gravitational Collapse, Mass Distribution, Pressure Distribution, Spheres

Scientific paper

A new physically valid model of a nonstatic gaseous sphere has been developed within the framework of general relativity theory. The model has several characteristics which make it superior to previous gaseous sphere models, including; (1) the pressure and density are positive inside the outer boundary of the sphere; (2) the physical radius is an increasing function of a radial comoving coordinate; (3) the mass function is positive; and (4), the adiabatic speed of sound is less than the speed of light. The model may be used to estimate the abundance of different chemical elements and initial mass of an exploding supernova.

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