MACROSCOPIC AND MICROSCOPIC ENTROPY OF NEAR-EXTREMAL SPINNING BLACK-HOLES

A seven-parameter family of five-dimensional black hole solutions depe nding on mass, two angular momenta, three charges and the asymptotic v alue of a scalar field is constructed. The entropy is computed as a fu nction of these parameters both from the Bekenstein-Hawking formula an d from the degeneracies of the corresponding D-brane states in string theory. The expressions agree at and to leading order away from extrem ality.