Physics – Fluid Dynamics
Scientific paper
Sep 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phys...28..357k&link_type=abstract
Physica Scripta (ISSN 0031-8949), vol. 28, no. 3, Sept. 1983, p. 357-361.
Physics
Fluid Dynamics
4
Astronomical Models, Fluid Boundaries, Relativity, Space Density, Spheres, Stellar Models, Einstein Equations, Fluid Dynamics, Pressure Gradients, Schwarzschild Metric, Surface Geometry
Scientific paper
Exact singularity-free models for a spherically symmetric, nonstatic fluid of uniform density but nonuniform pressure are investigated. The model is found to be conformally flat with a nonpositive pressure gradient. The velocities and Schwarzschild surfaces are analyzed and three possibilities are found to exist: (1) the velocity of the fluid is less than the velocity of light, and no Schwarzschild surface exists; (2) the velocity of the fluid is greater than the velocity of light, and a Schwarzschild surface exists; and (3) the velocity of the fluid is greater than the velocity of light, but no Schwarzschild surface exists. An analysis of junction conditions indicates that an event horizon will exist in the interior of the sphere if and only if the boundary is inside the Schwarzschild surface. The results are applied to models of astrophysical interest, including oscillating, bouncing, and contracting models.
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