Acceptability Conditions and Relativistic Barotropic Equations of State

Abstract

We sketch an algorithm to generate exact anisotropic solutions starting from a barotropic EoS and setting an ansatz on the metric functions. To illustrate the method, we use a generalization of the polytropic equation of state consisting of a combination of a polytrope plus a linear term. Based on this generalization, we develop two models which are not deprived of physical meaning as well as fulfilling the stringent criteria of physical acceptability conditions. We also show that some relativistic anisotropic polytropic models may have singular tangential sound velocity for polytropic indexes greater than one. This happens in anisotropic matter configurations when the polytropic equation of state is implemented together with an ansatz on the metric functions. The generalized polytropic equation of state is free from this pathology in the tangential sound velocity.

25 pages, 7 figures

References in corpus (15)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Astrophysical Measurement of the Equation of State of Neutron Star Matter
• Charged anisotropic matter with linear equation of state
• Stability of the isotropic pressure condition
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Analytical study of anisotropic compact star models
• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• A Polytropic Model of Quark Stars
• PSR J1738+0333: The First Millisecond Pulsar + Pulsating White Dwarf Binary
• Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
• Study of polytropes with Generalized polytropic Equation of State

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