Regular Article - Theoretical Physics
Analytical study of anisotropic compact star models
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Science, Tzarigradsko Shausse 72, 1784, Sofia, Bulgaria
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Accepted: 20 October 2017
Published online: 4 November 2017
A simple classification is given of the anisotropic relativistic star models, resembling the one of charged isotropic solutions. On the ground of this database, and taking into account the conditions for physically realistic star models, a method is proposed for generating all such solutions. It is based on the energy density and the radial pressure as seeding functions. Numerous relations between the realistic conditions are found and the need for a graphic proof is reduced just to one pair of inequalities. This general formalism is illustrated with an example of a class of solutions with linear equation of state and simple energy density. It is found that the solutions depend on three free constants and concrete examples are given. Some other popular models are studied with the same method.
© The Author(s), 2017