Radiating fluid spheres in general relativity

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Abstract
We study the time-dependent field equations for radiating fluid spheres, where we take the energy-momentum tensor as the sum of the energy-momentum tensor for a perfect fluid and a radially expanding radiation. We present four new exact analytic solutions with the corresponding pressure, density, and luminosity distributions. We also present a case where two of the three metric coefficients are given as a function of the other, thus reducing the problem to choosing one of the metric elements such that distribution of physical quantities is reasonable. The solutions we have considered correspond to fluids at rest and have radius independent of time. Hence they represent fluid spheres in equilibrium.

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