TL;DR
This paper analyzes spherically symmetric matter fields in general relativity with zero stress energy scalar, providing methods to generate exact solutions and discussing their physical interpretation and boundary conditions.
Contribution
It introduces a procedure for generating exact solutions for such matter distributions and classifies them as mixtures of isotropic and directed radiations.
Findings
Exact solutions for spherically symmetric matter fields are derived.
All such fields with distinct eigenvalues can be viewed as mixtures of radiations.
Junction conditions for connecting to exterior solutions are discussed.
Abstract
General relativistic spherically symmetric matter field with a vanishing stress energy scalar is analyzed. Procedure for generating exact solutions of the field equations for such matter distributions is given. It is further pointed out that all such type I spherically symmetric fields with distinct eignvalues in the radial two space can be treated as a mixture of isotropic and directed radiations. Various classes of exact solutions are given. Junction conditions for such a matter field to the possible exterior solutions are also discussed.
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