2017/07/24 by Jan-Erik Christian, Andreas Zacchi, Jürgen Schaffner-Bielich +1 · 1 citation
Mathematics · Physics and Astronomy · #Astrophysics #Combinatorics #Constant (computer programming) #Discontinuity (linguistics) #Equation of state #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Nuclear matter #Nuclear physics #Nucleon #Parameterized complexity #Parametrization (atmospheric modeling) #Phase transition #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #RADIUS #Radiative transfer #Speed of sound #Star (game theory) #Stars #astro-ph.HE
paper · pdf · doi:10.1140/epja/i2018-12472-y
8 pages, 9 figures
arxiv created 2017/07/24 · openalex publication_date 2018/02/01 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the possible mass radius relation of compact stars for the equation of states with a first order phase transition. The low density matter is described by a nuclear matter equation of state resulting from fits to nuclear properties. A constant speed of sound parametrization is used to describe the high density matter phase with the speed of sound cs2=1. A classification scheme of four distinct categories including twin star solutions, i. e. solutions with the same mass but differing radii, is found which are compatible with the M ≥ 2M_\odot pulsar mass constraint. We show the dependence of the mass and radius differences on the transition parameters and delineate that higher twin star masses are more likely to be accompanied by large radius differences. These massive twin stars are generated by high values of the discontinuity in the energy density and the lowest possible values of the transition pressure that still result in masses of M ≥ 2M_\odot at the maximum of the hadronic branch.