Macroscopic and Microscopic Entropy of Near-Extremal Spinning Black   Holes
  A seven parameter family of five-dimensional black hole solutions depending on mass, two angular momenta, three charges and the asymptotic value of a scalar field is constructed. The entropy is computed as a function of these parameters both from the Bekenstein-Hawking formula and from the degeneracies of the corresponding D-brane states in string theory. The expressions agree at and to leading order away from extremality. 
J.C. Breckenridge, D.A. Lowe, R.C. Myers, A.W. Peet, A. Strominger and   C. Vafa