Some charged polytropic models

Abstract

The Einstein-Maxwell equations with anisotropic pressures and electromagnetic field are studied with a polytropic equation of state. New exact solutions to the field equations are generated in terms of elementary functions. Special cases of the uncharged solutions of Feroze and Siddiqui (Gen Relativ Gravit 43: 1025, 2011) and Maharaj and Mafa Takisa (Gen Relativ Gravit 44: 1419, 2012) are recovered. We also obtain exact solutions for a neutral anisotropic gravitating body for a polytrope from our general treatment. Graphical plots indicate that the energy density, tangential pressure and anisotropy profiles are consistent with earlier treatments which suggest relevance in describing relativistic compact stars.

18 pages, To appear in Gen. Relativ. Gravit

References in corpus (11)

• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Charged anisotropic matter with linear equation of state
• A class of relativistic stars with a linear equation of state
• Classes of exact Einstein-Maxwell solutions
• The role of pressure anisotropy on the maximum mass of cold compact stars
• Tikekar superdense stars in electric fields
• Compact models with regular charge distributions
• Charged relativistic spheres with generalized potentials
• Generalised compact spheres in electric fields
• Bounds on M/R for static objects with a positive cosmological constant
• On surface tension for compact stars

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