Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-11-11
Eur.J.Phys. 26 (2005) 341-360
Astronomy and Astrophysics
Astrophysics
18 pages, 12 figures, refs. added, submitted to Eur. J. Phys
Scientific paper
10.1088/0143-0807/26/3/003
We report on a three--month research project for undergraduate students about the mass-radius relation of compact stars. The equation of state used is constrained at low densities by well-established equations of state of the nuclear phase (the solid crust) and then extended to higher densities with a phenomenological, parametric approach. A first order phase transition from hadronic matter to a phase of higher density, assumed to be quark matter is studied in addition. The mass-radius relation is obtained by solving numerically the Tolman-Oppenheimer-Volkoff equation. We derive some conditions for the existence of a third family of compact stars on the form of the equation of state and its different global properties.
Macher Jean
Schaffner-Bielich Jurgen
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