Outward oriented gravitational attraction in the innermost part of the compact objects - new, always-present property of relativistic gravity and its consequences

We point out a new property of general-relativistic gravity:in reality, the gravity in the innermost region of relativistic compactobjects (RCOs) is oriented outward from the object's center. We explainhow an attractive gravity can result in such the orientation. Further,we point out an erroneous identification of a tensor with a scalarwithin the old RCO concept. This misidentifying caused that almostwhole general relativity (GR) was forbidden in the astrophysics of RCOs;the Oppenheimer-Volkoff upper-mass limit is a consequence of thisprohibition. Our analysis of RCO properties, derived from some modelsthat were constructed by using unlimited GR, indicates that gaseous RCOsare the objects in the form of hollow sphere with an inner physicalsurface. Its radius can be whatever small (but never exactly zero), andthis has been, likely, the reason of why the phenomenon of the outwardoriented gravity has escaped our attention. One can also model thesuper-massive RCOs, the nuclei of which resemble the objects found inthe centers of galaxies and quasars. Perhaps, the most importantproperty of a super-massive RCO is the fact that the energy content ofthe RCO nucleus appears to be several orders of magnitude larger thanderived from a gravitational action. In conclusion, we argue that thereis no reason to demand that only the normalized solutions of the fieldequations, implying the RCOs in the form of quasi-fulfilled sphere andwith an upper mass limit, can be used in the modeling of the stableRCOs.