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We extend an algorithm of Deng in spherically symmetric spacetimes to higherdimensions. We show that it is possible to integrate the generalised conditionof pressure isotropy and generate exact solutions to the Einstein fieldequations for a shear-free cosmological model with heat flow in higherdimensions. Three new metrics are identified which contain results of fourdimensions as special cases. We show graphically that the matter variables arewell behaved and the speed of sound is causal.

The Deng algorithm in higher dimensions