Abstract
In the present article, Lie group symmetries of the master equation describing the shear free non-static fluid spheres with heat flow (Msomi et al. in Gen. Relativ. Gravit. 43(6):1685–1696, 2011) are exploited to yield wider class of solutions. Further the master equation is transformed in to more convenient modified form, which is capable of yielding numerous solutions rather easily. Moreover two non-point transformations are suggested under which the master equation and its modified form are invariant, which are utilised to generate new solutions starting with the known seed solutions.
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