Abstract:
We point out a new feature of gravity within general relativity (GR): according to GR, the gravity in the innermost region of relativistic compact objects (RCOs) is oriented outward from the object's center. We explain how the normal, attractive, gravity does result in such the orientation. Our analysis of RCO properties, derived from some models which imply the outward oriented action in the RCO central region, indicates that the gaseous RCOs are the objects in the shape of a hollow sphere with an inner physical surface. These inner radii can be arbitrarily small (but it is questionable if ever exactly zero), and this has been, likely, the reason of why the phenomenon of the outward oriented gravity has escaped our attention. We discuss the conceptual differences between the old, fulfilled-sphere, and new, hollow-sphere, concepts of RCO. Until now, the new concept has been forbidden by a postulate, in fact. This prohibition caused that almost whole general relativity was forbidden in the astrophysics of RCOs; the Oppenheimer-Volkoff upper-mass limit is a consequence of this prohibition. In conclusion, we point out that any model of realistic RCOs in the shape of a rigorous fulfilled sphere has never been constructed. It is questionable if such a solution of field equation exists. Within GR, we can easily construct only the models of real stable RCOs in the form of a hollow-sphere.
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