Compact Stars for Undergraduates

Abstract

We report on an undergraduate student project initiated in the summer semester of 2004 with the aim to establish equations of state for white dwarfs and neutron stars for computing mass-radius relations as well as corresponding maximum masses. First, white dwarfs are described by a Fermi gas model of degenerate electrons and neutrons and effects from general relativity are examined. For neutron star matter, the influence of a finite fraction of protons and electrons and of strong nucleon-nucleon interactions are studied. The nucleon--nucleon interactions are introduced within a Hartree-Fock scheme using a Skyrme-type interaction. Finally, masses and radii of neutron stars are computed for given central pressure.

30 pages, 20 figures, to be submitted to Eur. J. Phys

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Cited by in corpus (26)

• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Stellar structure models in modified theories of gravity: lessons and challenges
• Compact stars made of fermionic dark matter
• Quark stars admixed with dark matter
• The many facets of the (non relativistic) Nuclear Equation of State
• Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
• General Relativistic effects in the structure of massive white dwarfs
• Stable hybrid stars within a SU(3) Quark-Meson-Model
• Measure of Complexity in Self-Gravitating Systems using Structure Scalars
• Momentum dependent mean-field dynamics of compressed nuclear matter and neutron stars
• Relativistic gravitational collapse in comoving coordinates: The post-quasistatic approximation
• Generalized Oppenheimer-Snyder Gravitational Collapse into Regular Black holes
• Klein-Gordon equation in curved space-time
• Neutron Star Structure in Hořava-Lifshitz Gravity
• Cosmology of fermionic dark matter
• Order-of-magnitude physics of neutron stars
• Generating exact polytropes in non-conservative unimodular geometries
• Neutron stars as a dense liquid drop at equilibrium within the effective surface approximation
• Neutron stars and supernova explosions in the framework of Landau's theory
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• Equation of State of Highly Asymmetric Neutron-Star Matter from Liquid Drop Model and Meson Polytropes
• Dynamics of General Barotropic Stellar Fluid in the Framework of $R+2\alpha T$ Gravity
• Leptodermic corrections to the TOV equations and nuclear astrophysics within the effective surface approximation
• Photons from relativistic nuclear collisions
• Stabilization of spherically symmetric static Boson stars by Coleman-Weinberg self-interaction potential
• Strongly Interacting Dark Matter admixed Neutron Stars