Computer Science – Sound
Scientific paper
Aug 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..777k&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Aug. 1984, p. 777-788.
Computer Science
Sound
11
Relativity, Stellar Evolution, Stellar Models, Acoustic Velocity, Density Distribution, Pressure Gradients, Rotating Spheres, Stellar Structure
Scientific paper
A model for a time-dependent relativistic 'gas' sphere is given. Both pressure (p) and density (rho) are positive inside the outer boundary of the sphere, and they both drop to zero at the boundary itself. Their respective gradients are negative. For expanding models p and rho are decreasing, and for contracting models p and rho are increasing. The adiabatic sound speed is thus real, and for the layers close to the surface of the sphere it is found that the adiabatic sound speed is less than the speed of light. For these layers the condition rho greater than 3p is also fulfilled. However, the area 4piR2 for a sphere of constant r is not an increasing function of the comoving radial coordinate r.
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