Relativistic spherical stars reformulated

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Abstract
The problem of finding static, spherically symmetric, solutions of Einstein’s equations for a perfect fluid is reformulated. A field equation connecting the pressure and density and free of metric components is obtained. Upon finding a solution of this field equation, the metric components are then obtained by quadrature. A solution‐generating technique is developed which yields physically valid pressure‐density configurations for adiabatically stable stars. Analytic solutions are obtained for the pressure, density, and metric components.

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