TITLE:
Mass Limit of Neutron Star
AUTHORS:
Jehangir Ahmad Dar
KEYWORDS:
Black Hole, Neutron Star, Schwarz Child’s Radius Relation, Degeneracy Pressure, Event Horizon, FCC and HCP Lattices and TOV Equation
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.4 No.2,
June
23,
2014
ABSTRACT: The mass limit of neutron star has still remained a mystery. The
existing Tolman-Oppenheimer-Volkoff (TOV) equation for calculating the limit
always gives different values, by introducing different assumptions and having
been predicted like 0.7 Mo, 3.2 Mo, 3.6 Mo, where Mo = 1.98 × 1030 Kg.
There is a need of some better technique to adopt other than TOV relation to
seek out the value. In this paper, a new relation between the mass of the collapsing star and its
average density ρ′ has been derived and used to calculate the limit of neutron
star. The conditions in radii between Schwarz Child’s radius and the actual
radius of the collapsing star have been introduced to calculate the mass of
star above which it will transform into a black hole and below it to a neutron
star. A new constant, JN = 8.53707554 × 1039 N-3/2s-3Kg3 has been proposed with which if we introduce the average density of the
collapsing neutron star, its mass limit can be calculated very easily. By
putting the most possible mass density, which is the minimum required density
for a collapsing star to transform into the black hole, it has been found that
the mass limit of neutron star is quite higher than it has been assumed. The
definition for black hole has also been re-defined on the basis of said radii
conditions.