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
The physics of neutron stars
TL;DR: In this paper, the fundamental problems in the physics of and basic facts about neutron stars are reviewed and the observational manifestations of neutron stars, their core and envelope structure, magnetic fields, thermal evolution, and masses and radii are briefly discussed, along with the underlying microphysics.
Journal ArticleDOI
Neutron star radii, universal relations, and the role of prior distributions
TL;DR: In this paper, the role of prior assumptions on neutron star structure arising from the assumptions that neutron stars have crusts, that recent calculations of pure neutron matter limit the equation of state of neutron star matter near the nuclear saturation density, and that the high-density equation is limited by causality and that general relativity is the correct theory of gravity.
Journal ArticleDOI
Quark matter nucleation in neutron stars and astrophysical implications
TL;DR: In this article, the authors investigated the quark deconfinement phase transition in cold and hot hadronic matter and compared the nucleation time due to quantum and thermal nucleation mechanisms.
Journal ArticleDOI
High-Order Fully General-Relativistic Hydrodynamics: new Approaches and Tests
TL;DR: In this paper, a new approach for achieving high-order convergence in fully general-relativistic hydrodynamic simulations is presented, which is implemented in WhiskyTHC, a new code that makes use of state-of-the-art numerical schemes and was key in achieving, for the first time, higher than second order convergence in the calculation of the gravitational radiation from inspiraling binary neutron stars.
Book
The Cosmic Century
TL;DR: In this article, the authors present an overview of the evolution of stars and galaxies up to the Second World War and their evolution since then, focusing on high-energy astrophysics.
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