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to the temperature of inner horizon. The radius of event horizon r$_{+}$ ≥ r$_{ext}$ for k = 0, and r$_{+}$ ≤ r$_{1ext}$ or r$_{+}$ ≥ r$_{2ext}$ for k = − 1. These facts can be seen in Figs. 3 - 6, which show the temperature versus r$_{+}$ in various dimensions. In order to be more clear, we discuss these figures for k = 0 and k = − 1, separately. 

k = 0: 

As one can see in Figs. 3 - 6, there exist extreme black brane with radius r$_{ext}$ provided α < α$_{ext}$ , where 

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