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
Oscillation modes of hybrid stars within the relativistic Cowling approximation
TL;DR: In this article, a relativistic Cowling approximation was used to calculate the oscillations of compact stars focusing on hybrid stars, with and without a mixed phase in their cores.
Journal ArticleDOI
Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
TL;DR: In this article, the authors studied the stability of relativistic isothermal spheres in general relativity and showed that the mass and entropy as a function of the central density present damped oscillations.
Journal ArticleDOI
Discontinuity gravity modes in hybrid stars: Assessing the role of rapid and slow phase conversions
L. Tonetto,Germán Lugones +1 more
TL;DR: In this paper, the role of the conversion rate at the interface of a quark-hadron hybrid star was studied and its properties were analyzed using modern hadronic and quark equations of state.
Journal ArticleDOI
Quark stars within relativistic models
TL;DR: In this paper, the authors used the Nambu-Jona-Lasinio model, known to incorporate chiral symmetry, necessarily present in the QCD formalism, in order to describe quark star properties and compared their results for the stars and the features of the model with the much simpler model normally used in the description of strange stars, namely the MIT bag model.
Journal ArticleDOI
The Possibility of the Secondary Object in GW190814 as a Neutron Star
TL;DR: In this paper, the authors systematically calculated the density-dependent relativistic mean-field (DDRMF) parameterizations of the neutron star, which are determined by the ground state properties of spherical nuclei, and concluded that the secondary object in GW190814 was composed of hadron matter from DDRMF models.
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