TITLE:
Another Way of the Continuous Linkup of Neutron-Star-Body and Surrounding Empty-Space Metrics
AUTHORS:
Luboš Neslušan
KEYWORDS:
Gravitation, Classical General Relativity, Neutron Star, Tolman-Oppenheimer-Volkoff Problem
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.4 No.2,
June
13,
2014
ABSTRACT: The metrics of the compact
objects should be the continuous function of coordinates. The metrics inside
every object is set by its internal structure. The metrics in the adjacent
empty space is described by the outer Schwarzschild or Kerr solution of the
Einstein field equations. It appears that the linkup of both object-interior
and empty-space metrics is not continuous at the physical surfaces of the
objects for the common, generally (by convention) accepted set of assumptions.
We suggest the new way of how to achieve the success in the linkup, which does
not assume the higher value of the relativistic speed limit in the empty space
governed by the object, in contrast to our previous suggestion. We also give a
more detailed explanation of the existence of inner physical surface of compact
objects and suggest the way of the linkup of metrics in this surface. To achieve
the continuous linkup, we assume a lower value of the speed limit in the
object’s interior as well as a new gauging of the outer Schwarzschild solution
for the inner empty space of the object. Newly established gauging constants
are calculated and the success of the linkup is shown in several examples. The
new gauging implies a lower gravitational attraction (lower gravitational
constant) in the inner empty space in comparison with that in the outer space,
which is measured in the common, observed, gravitational interactions of
material objects.