Abstract:
In the present study, we investigate the topological properties of black holes in terms of Renyi statistics as an extension of the Gibbs-Boltzmann (GB) statistics, aiming to characterize the non-Boltzmannian thermodynamic topology of Kerr-Sen and dyonic Kerr-Sen black holes. Through this research, we discover that the topological number derived via Renyi statistics differs from that obtained through GB statistics. Interestingly, although the nonextensive parameter lambda changes the topological number, the topological classification of the Kerr-Sen and dyonic Kerr-Sen black holes remains consistent under both GB and Renyi statistics. In addition, the topological numbers associated with these two types of black holes without cosmological constant using Renyi entropy processes are the same as the AdS cases of them by considering the GB entropy, as further evidenced by such a study found here. This indicates the cosmological constant has some potential connections with the nonextensive parameter from the perspective of thermodynamic topology.
