Computer Science – Sound
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phys...31..305k&link_type=abstract
Physica Scripta (ISSN 0031-8949), vol. 31, no. 5, May 1985, p. 305-309.
Computer Science
Sound
8
Gas Expansion, Pressure Gradients, Relativity, Spheres, Stellar Models, Supernovae, Acoustic Velocity, Gas Density, Gravitational Fields, Neutron Stars, Stellar Mass Ejection
Scientific paper
Some new exact models for the outer layers of a time-dependent 'gaseous' sphere (i.e., the density rho is to vanish at the outer boundary of the sphere together with the pressure p) are obtained. The physical properties of the models are investigated, and it is found that both p and rho are positive inside the outer boundary, and their respective gradients are negative. The condition rho greater than 3p is also fulfilled; p and rho are both decreasing for expanding models; and they are decreasing for contracting models. The adiabatic sound speed is thus real, and it is further shown that this speed is less than the speed of light. It is also found that the rate of change of the circumference as measured by an observer riding on the boundary of the sphere is decreasing for expanding models and is increasing for contracting models. However, the surface area of a sphere of constant r is not an increasing function of comoving radial coordinate r.
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