The double polytrope for anisotropic matter: Newtonian Case

Abstract

A general formalism developed few years ago to model polytropic Newtonian stars with anisotropic pressure is applied to model stars for which, both, radial and tangential pressure satisfy polytropic equations of state. We obtain the corresponding Lane--Emden equation, and integrate it for a wide range of values of the parameters, thereby illustrating the effects of the pressure anisotropy on stellar objects. We calculate Chandrasekhar mass for a white dwarf and compare it with previous results. Finally, prospective applications to some astrophysical scenarios are discussed.

arXiv comment7 pages, 6 figures

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Cited by in corpus (15)

• Stability of the isotropic pressure condition
• Charged Anisotropic Models with Complexity-free Condition
• The general relativistic double polytrope for anisotropic matter
• Class I polytropes for anisotropic matter
• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
• Role of Non-conserved Gravity Theory and Electric Charge in Constructing Complexity-free Stellar Models: A Novel Approach under Non-minimal Coupling
• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• All static spherically symmetric anisotropic solutions for general relativistic polytropes
• Gravitational Cracking of General Relativistic Polytropes: a generalized scheme
• Complexity factor of spherically anisotropic polytropes from gravitational decoupling
• Five-dimensional compact stars in Einstein-Gauss-Bonnet gravity
• Implications of Rastall Theory on Stellar Solutions admitting Vanishing Complexity: A New Perspective
• Double relativistic master polytrope for anisotropic matter
• A Generalized Double Chaplygin Model for Anisotropic Matter: The Newtonian Case
• Hyperbolic polytrope