Abstract
Some exact solutions for anisotropic matter are worked out in the framework of general relativity. Four such solutions are obtained by a suitable modification of four well-known solutions by Tolman, viz., Tolman's solutions III, IV, V, and VI. The degree of anisotropy is determined by a parameter, and the range of values this parameter will have under realistic situations is calculated for all four classes. A singularity-free new solution for anisotropic matter is also presented.
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