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Anisotropic relativistic stellar models. (English) Zbl 0994.83012
Summary: We present a class of exact solutions of Einstein’s gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the anisotropy factor. The energy density and both radial and tangential pressures are finite and positive inside the anisotropic star. Numerical results show that the basic physical parameters (mass and radius) of the model can describe realistic astrophysical objects like neutron stars.

83C15 Exact solutions to problems in general relativity and gravitational theory
85A15 Galactic and stellar structure
83B05 Observational and experimental questions in relativity and gravitational theory
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