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Exact solution of anisotropic compact stars via mass function
Authors:S K Maurya  Ayan Banerjee  Y K Gupta
Institution:1.Department of Mathematical & Physical Sciences, College of Arts & Science,University of Nizwa,Nizwa,Sultanate of Oman;2.Astrophysics and Cosmology Research Unit,University of KwaZulu Natal,Durban,South Africa;3.Raj Kumar Goel Institute of Technology,Ghaziabad,India
Abstract:Studying relativistic compact objects is important in modern astrophysics to understand several astrophysical issues. It is therefore natural to ask for an internal structure and physical properties of specific classes of compact stars from astrophysical observations. We obtain a class of new relativistic solutions with anisotropic distribution of matter for compact stars. More specifically, stellar models, described by an anisotropic fluid, establishing a relation between metric potentials and generating a specific form of mass function, are explicitly constructed within the framework of General Relativity. New solutions can be used to model compact objects, which adequately describe compact strange star candidates like SMC X-1, Her X-1 and 4U 1538-52, with observational data taken from Gangopadhyay et al. (Mon. Not. R. Astron. Soc. 431:3216, 2013). As a possible astrophysical application the obtained solutions could explain the physics of selfgravitating objects, and might be useful for strong-field regimes where data are currently inadequate.
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