Journal ArticleDOI
On Massive neutron cores
J. R. Oppenheimer,G. M. Volkoff +1 more
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In this paper, the authors studied the gravitational equilibrium of masses of neutrons, using the equation of state for a cold Fermi gas, and general relativity, and showed that for masses under 1/3, there are no static equilibrium solutions.Abstract:
It has been suggested that, when the pressure within stellar matter becomes high enough, a new phase consisting of neutrons will be formed. In this paper we study the gravitational equilibrium of masses of neutrons, using the equation of state for a cold Fermi gas, and general relativity. For masses under $\frac{1}{3}\ensuremath{\bigodot}$ only one equilibrium solution exists, which is approximately described by the nonrelativistic Fermi equation of state and Newtonian gravitational theory. For masses $\frac{1}{3}\ensuremath{\bigodot}lml\frac{3}{4}\ensuremath{\bigodot}$ two solutions exist, one stable and quasi-Newtonian, one more condensed, and unstable. For masses greater than $\frac{3}{4}\ensuremath{\bigodot}$ there are no static equilibrium solutions. These results are qualitatively confirmed by comparison with suitably chosen special cases of the analytic solutions recently discovered by Tolman. A discussion of the probable effect of deviations from the Fermi equation of state suggests that actual stellar matter after the exhaustion of thermonuclear sources of energy will, if massive enough, contract indefinitely, although more and more slowly, never reaching true equilibrium.read more
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Journal ArticleDOI
A family of charged compact objects with anisotropic pressure
S. K. Maurya,Megandhren Govender +1 more
TL;DR: In this article, the authors present a class of exact solutions of the Einstein-Maxwell field equations describing a spherically symmetric compact object and show that these solutions can be used to model the star Her X-1.
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Astrophysical Constraints on Dense Matter in Neutron Stars
TL;DR: In this paper, the current status of constraints from various methods and the prospects for future improvements are reviewed, as well as a review of the current state of the art and the future improvements.
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Semi-classical equation of state and specific-heat expressions with proton shell corrections for the inner crust of a neutron star
TL;DR: In this article, an approach to the inner crust of neutron stars based on Skyrme-type forces is presented, where the energy is calculated by the TETF (temperature-dependent extended Thomas-Fermi) method, with proton shell corrections added self-consistently by the Strutinsky-integral method.
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Removing black hole singularities with nonlinear electrodynamics
TL;DR: In this article, a nonlinear electrodynamics Lagrangian was used to remove singularities in black hole singularities by using the Oppenheimer-Volkoff equation.
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The Einstein static universe with torsion and the sign problem of the cosmological constant
TL;DR: In this article, the Einstein static universe with constant torsion is constructed, generalizing the Einstein cosmos to Cartan theory, and a possible way out of the cosmological constant's sign problem is suggested.
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