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4 - Compact Stars

Published online by Cambridge University Press:  17 August 2020

Jürgen Schaffner-Bielich
Affiliation:
Goethe-Universität Frankfurt Am Main
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Summary

As one of the core chapters, the general properties of compact stars are discussed. Spheres of fluid in hydrostatic equilibrium are studied within general relativity. The concept of the mass–radius relation is introduced for the classic case of a gas of noninteracting neutrons. Landau‘s argument for a maximum mass of neutron stars and white dwarfs is delineated. Thereby, the Landau mass and radius is defined for studying scaling solutions of the Tolman–Oppenheimer–Volkoff equation. The power of scaling arguments is demonstrated for the case of a free Fermi gas with arbitrary particle mass, a relativistic gas of fermions with a vacuum term, and the limiting equation of state from causality. The concept of selfbound stars is put forward, giving rise to limits on the compactness and the maximum density achievable for compact stars in general. Generic interactions between fermions are studied and their implications for compact star properties are derived. The general properties of compact stars made of bosons with and without interactions are also investigated.

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Publisher: Cambridge University Press
Print publication year: 2020

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  • Compact Stars
  • Jürgen Schaffner-Bielich, Goethe-Universität Frankfurt Am Main
  • Book: Compact Star Physics
  • Online publication: 17 August 2020
  • Chapter DOI: https://doi.org/10.1017/9781316848357.005
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  • Compact Stars
  • Jürgen Schaffner-Bielich, Goethe-Universität Frankfurt Am Main
  • Book: Compact Star Physics
  • Online publication: 17 August 2020
  • Chapter DOI: https://doi.org/10.1017/9781316848357.005
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Compact Stars
  • Jürgen Schaffner-Bielich, Goethe-Universität Frankfurt Am Main
  • Book: Compact Star Physics
  • Online publication: 17 August 2020
  • Chapter DOI: https://doi.org/10.1017/9781316848357.005
Available formats
×