In 2011, Chinese researcher Ni found
the solution of the Oppenheimer-Volkoff problem for a stable configuration of
stellar object with no internal source of energy. The Ni’s solution is the
nonrotating hollow sphere having not only an outer, but an inner physical
radius as well. The upper mass of the object is not constrained. In our paper,
we contribute to the description of the solution. Specifically, we give the
explicit description of metrics inside the object and attempt to link it with
that in the corresponding outer Schwarzschild solution of Einstein field
equations. This task appears to be non-trivial. We discuss the problem and
suggest a way how to achieve the continuous linkup of both object-interior and
outer-Schwarzschild metrics. Our suggestion implies an important fundamental
consequence: there is no universal relativistic speed limit, but every compact
object shapes the adjacent spacetime and this action results in the specific
speed limit for the spacetime dominated by the object. Regardless our
suggestion will definitively be proved or the successful linkup will also be
achieved in else, still unknown way, the success in the linkup represents a
constraint for the physical acceptability of the models of compact objects.
Ni, J. (2011) Solutions without a Maximum Mass Limit of the General Relativistic Field Equations for Neutron Stars. Science China, Physics, Mechanics, and Astronomy, 54, 1304-1308.
Mei, X. (2011) The Precise Inner Solutions of Gravity Field Equations of Hollow and Solid Spheres and the Theorem of Singularity. International Journal of Astronomy and Astrophysics, 1, 109-116.