Neutron star equilibrium configurations within a fully relativistic theory with strong, weak, electromagnetic, and gravitational interactions

Abstract

We formulate the equations of equilibrium of neutron stars taking into account strong, weak, electromagnetic, and gravitational interactions within the framework of general relativity. The nuclear interactions are described by the exchange of the sigma, omega, and rho virtual mesons. The equilibrium conditions are given by our recently developed theoretical framework based on the Einstein-Maxwell-Thomas-Fermi equations along with the constancy of the general relativistic Fermi energies of particles, the "Klein potentials", throughout the configuration. The equations are solved numerically in the case of zero temperatures and for selected parametrization of the nuclear models. The solutions lead to a new structure of the star: a positively charged core at supranuclear densities surrounded by an electronic distribution of thickness $\sim \hslash /(m_{e}c)$ of opposite charge, as well as a neutral crust at lower densities. Inside the core there is a Coulomb potential well of depth $\sim m_{\pi }{c}^2/e$. The constancy of the Klein potentials in the transition from the core to the crust, impose the presence of an overcritical electric field $\sim (m_{\pi }/m_e{)}^2{E}_c$, the critical field being $E_c=m_e^2{c}^3/(e\hslash )$. The electron chemical potential and the density decrease, in the boundary interface, until values ${\mu }_e^{\mathrm{crust}}<{\mu }_e^{\mathrm{core}}$ and ${\rho }_{\mathrm{crust}}<{\rho }_{\mathrm{core}}$. For each central density, an entire family of core-crust interface boundaries and, correspondingly, an entire family of crusts with different mass and thickness, exist. The configuration with ${\rho }_{\mathrm{crust}}={\rho }_{\mathrm{drip}}\sim 4.3\times 10^{11}$ g/cm${}^3$ separates neutron stars with and without inner crust. We present here the novel neutron star mass-radius for the case ${\rho }_{\mathrm{crust}}={\rho }_{\mathrm{drip}}$ and compare and contrast it with the one obtained from the Tolman-Oppenheimer-Volkoff treatment.

Accepted for publication in Nuclear Physics A

References in corpus (21)

• Shapiro delay measurement of a two solar mass neutron star
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• The Physics of Neutron Stars
• A Radio Pulsar Spinning at 716 Hz
• Complete electric dipole response and the neutron skin in 208Pb
• Electron-positron pairs in physics and astrophysics: from heavy nuclei to black holes
• Constraints on neutron star radii based on chiral effective field theory interactions
• A Hydrogen Atmosphere Spectral Model Applied to the Neutron Star X7 in the Globular Cluster 47 Tucanae
• The Puzzles of RX J1856.5-3754: Neutron Star or Quark Star?
• The nuclear symmetry energy and stability of matter in neutron star
• Constraints on Neutron Star Parameters from Burst Oscillation Light Curves of the Accreting Millisecond Pulsar XTE J1814-338
• The relativistic Feynman-Metropolis-Teller theory for white-dwarfs in general relativity
• On the relativistic Thomas-Fermi treatment of compressed atoms and compressed nuclear matter cores of stellar dimensions
• Equation of state of the neutron star matter, and the nuclear symmetry energy
• The self-consistent general relativistic solution for a system of degenerate neutrons, protons and electrons in beta-equilibrium
• The decompression of the outer neutron star crust and r-process nucleosynthesis
• On Plasma Oscillations in Strong Electric Fields
• The Klein first integrals in an equilibrium system with electromagnetic, weak, strong and gravitational interactions
• Electrodynamics for Nuclear Matter in Bulk
• On a Separatrix in the Gravitational Collapse to an Overcritical Electromagnetic Black Hole
• From super-charged nuclei to massive nuclear density cores

Cited by in corpus (49)

• Constraints on primordial black holes as dark matter candidates from capture by neutron stars
• Fast Rotating Neutron Stars with Realistic Nuclear Matter Equation of State
• On the Induced Gravitational Collapse of a Neutron Star to a Black Hole by a Type Ib/c Supernova
• SGRs and AXPs as rotation powered massive white dwarfs
• On the classification of GRBs and their occurrence rates
• General classification of charged test particle circular orbits in Reissner--Nordström spacetime
• On the Neutron Star-Black Hole Binaries Produced by Binary-driven-Hypernovae
• GRB 090618: The First Example of a Neutron Star Gravitational Collapse to a Black Hole Induced by a Type Ib/c Supernova
• Uniformly rotating neutron stars in the global and local charge neutrality cases
• GRB 090227B: the missing link between the genuine short and long GRBs
• Anisotropic pressure and hyperons in neutron stars
• GRB 110709B in the Induced Gravitational Collapse paradigm
• GRB 140619B: a short GRB from a binary neutron star merger leading to black hole formation
• Electron and positron pair production of compact stars
• GRB 090510: a genuine short-GRB from a binary neutron star coalescing into a Kerr-Newman black hole
• Globally visible singularity in an astrophysical setup
• Surface tension of the core-crust interface of neutron stars with global charge neutrality
• From strangelets to strange stars: A unified description
• Stability of thin-shell interfaces inside compact stars
• Is GW170817 a Multimessenger Neutron Star-Primordial Black Hole Merger?
• On the nature of some SGRs and AXPs as rotation-powered neutron stars
• Neutrino oscillation in the $q$-metric
• Effects of strong magnetic fields on the population of hyperon stars
• Interface effects of quark matter: Light-quark nuggets and compact stars
• A theory of finite-temperature Bose-Einstein condensates in neutron stars
• A short survey of matter-antimatter evolution in the primordial universe
• The effect of plasmon mass on spin light of neutrino in dense matter
• Spin light of neutrino in astrophysical environments
• Hydrostatic equilibrium of stars without electroneutrality constraint
• GRB 081024B and GRB 140402A: two additional short GRBs from binary neutron star mergers
• Gravitational Waves versus X and Gamma Ray Emission in a Short Gamma-Ray Burst
• Radial stability in stratified stars
• Quarkyonic matter and quarkyonic stars in an extended RMF model
• Pauli blocking effects on pair creation in strong electric field
• Phase space evolution of pairs created in strong electric fields
• Implications of Fermionic Dark Matter Interactions on Anisotropic Neutron Stars
• Gravitational and electric energies in the collapse of a spherical thin-shell capacitor
• Induced Gravitational Collapse in the BATSE era: the case of GRB 970828
• Thermal evolution of neutron stars with global and local neutrality
• Pair creation in hot electrosphere of compact astrophysical objects
• Gamow's Calculation of the Neutron Star's Critical Mass Revised
• The flexibility of optical metrics
• Collective electronic pulsation around giant nuclei in the Thomas-Fermi model
• Critical fermion density for restoring spontaneously broken symmetry
• Pair creation from radial electromagnetic perturbation of a compact astrophysical object
• Casimir Effect and Gravitational Balance: a Search for Stable Configurations
• Structure of Relativistic Stars Composed of Incompressible Matter in the Absence of Strict Electroneutrality
• General Relativistic Non-Neutral White Dwarf Stars
• Asymptotic Freedom and Vacuum Polarization Determine the Astrophysical End State of Relativistic Gravitational Collapse: Quark--Gluon Plasma Star Instead of Black Hole