Thermodynamic Geometry Of Black Holes

In this paper, we first introduced the basic theory of the black holethermodynamics and thermodynamics geometry, and described the relationship betweenthem. Later, we discussed thermodynamic geometric properties of the RN black holes,Kerr black holes, the RN-AdS black holes, and five dimensional black string in detail.And made a careful study about the critical behavior of RN-AdS black holes. In the end,we gave five conclusions. These conclusions reveal thermodynamics geometry caneffectively describe the thermodynamic properties of black holes, and in describingthermodynamic properties of black holes, Weinhold geometry and Ruppeiner geometryhave similar effectiveness.