NSBL-RT-018 A Continuous Counterpart to Schwarzschild's Liquid Sphere Model
We present a continuous counterpart to Schwarzschild's metrical model of a constant-density sphere. The new model interpolates between a central higher-density spherical concentration of mass and lower-density layers at large distance. Whereas the radial part of pressure shows a positive distribution for all values of radial distance, the angular part of pressure shows negative magnitudes in the upper layers of low density; both pressures vanishing for infinite distance. We speculate that the negative pressure effect might be connected with stellar winds. Studying the motions of photons and massive particles in the gravity field of the continuous model shows similar, however continuous, behaviors to those described before for Schwarzschild's constant-density model.
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