Solutions to the general-relativistic Tolman-Wyman equation

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Abstract
The Tolman-Wyman equation is considered and regular solutions are given. A generalization procedure is developed whereby known solutions for static metrics can be used as particular integrals of the Tolman-Wyman equation. This leads to new interiors for which the equation of state is not completely independent of that belonging to the original metric. A differential relation connecting the two sets of thermodynamic functions is given. A number of metrics are also presented for which the particular integral is not known a priori. The new interiors discussed here contain the only known nonpathological general solutions to the Tolman-Wyman equation.