Newtonian polytropes for anisotropic matter: General framework and applications
arXiv:1304.2824 · doi:10.1103/PhysRevD.87.087303
Abstract
We set up the general formalism to model polytropic Newtonian stars with anisotropic pressure. We obtain the corresponding Lane-Emden equation. A heuristic model based on an ansatz to obtain anisotropic matter solutions from known solutions for isotropic matter is adopted to illustrate the effects of the pressure anisotropy on the structure of the star. In particular, we calculate the Chandrasekhar mass for a white dwarf. It is clearly displayed how the Chandrasekhar mass limit changes depending on the anisotropy. Prospective astrophysical applications of the proposed approach are discussed.
6 pages revtex4, 3 figures. Updated version to appear in Physical Review D
References in corpus (9)
- The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
- All static spherically symmetric anisotropic solutions of Einstein's equations
- Equation of State of a Dense and Magnetized Fermion System
- Shearing Expansion-free Spherical Anisotropic Fluid Evolution
- New mass limit for white dwarfs: super-Chandrasekhar type Ia supernova as a new standard candle
- A Polytropic Model of Quark Stars
- Anisotropic Pressures in Very Dense Magnetized Matter
- Mass of highly magnetized white dwarfs exceeding the Chandrasekhar limit: An analytical view
- Violation of Chandrasekhar Mass Limit: The Exciting Potential of Strongly Magnetized White Dwarfs
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