Relativistic spherical stars reformulated

Details Relativistic spherical stars reformulated Relativistic spherical stars reformulated

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jmp....19..856g&link_type=abstract

Journal of Mathematical Physics, vol. 19, Apr. 1978, p. 856-859. Research supported by the National Research Council of Canada.

Physics

11

Einstein Equations, Field Theory (Physics), Ideal Fluids, Relativity, Spheres, Stellar Models, Density Distribution, Pressure Distribution, Quadratures, Space-Time Functions, Stellar Structure

Scientific paper

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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