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We study the low frequency absorption cross section of spherically symmetricnonextremal d-dimensional black holes. In the presence of alpha' corrections,this quantity must have an explicit dependence on the Hawking temperature ofthe form 1/T_H. This property of the low frequency absorption cross section isshared by the D1-D5 system from type IIB superstring theory already at theclassical level, without alpha' corrections. We apply our formula to thesimplest example, the classical d-dimensional Reissner-Nordstrom solution,checking that the obtained formula for the cross section has a smooth extremallimit. We also apply it for a d-dimensional Tangherlini-like solution withalpha'^3 corrections.

On the temperature dependence of the absorption cross section for black holes in string theory