Ricci flows perturbation and fluctuations of the charge-current density in 2D string black hole models

Abstract

The perturbation equation for the Ricci flows in two-dimensional string σ model is studied in this article, it can be derived from the Gauss-Codazzi equations, and it has been used to obtain the perturbation solutions in two black hole models. In the dilaton black hole model, the Hawking temperature and the temperature flow are given by the analytical solution of the perturbation equation. In addition, we get the asymptotic perturbation solution in the loop correction black hole model, the fluctuation flows for the charge-current density are derived according to the solutions of the perturbation Dirac equation. The evolution trend of the Hawking temperature flow and the fluctuation flows with the momentum scale are analyzed and discussed.