Thermodynamics of a sufficient small singly spinning Kerr-AdS black hole

Abstract

In this paper, we will analyze the thermodynamics of a small singly spinning\nKerr-AdS black hole. As the black hole will be sufficient small, its\ntemperature will be large and so we can not neglect the effects of thermal\nfluctuations. We will demonstrate that these thermal fluctuations correct the\nentropy of singly spinning Kerr-AdS black hole by a logarithmic correction\nterm. We will analyze the implications of the logarithmic correction on other\nthermodynamic properties of this black hole, and analyze the stability of such\na black hole. We will observe that this form of correction becomes important\nwhen the size of the black hole is sufficient small. We will also analyze the\neffect of these thermal fluctuations on the critical phenomena for such a black\nhole.\n