Extended thermodynamics and entropic force of de Sitter space–time with charged Gauss–Bonnet Black Hole

Abstract

The discovery of new four-dimensional black hole solutions presents a new approach to understand the Gauss–Bonnet gravity in low dimensions. In this paper, we investigate extended thermodynamics and entropic force of de Sitter space–time with charged Gauss–Bonnet black hole. Think of four-dimensional charged Gauss–Bonnet Black Hole in de Sitter space–time as a thermodynamic system, the state parameters of Space–time must satisfy the basic equations of thermodynamics. By using the functional relation between the state parameters in the basic equation, the equivalent temperature and the space–time entropy of the state parameters satisfying the first law of thermodynamics are obtained. The interaction force between the horizon of the black hole and the cosmic horizon is composed of two parts, one of which is proportional to the Gauss–Bonnet factor. The other part is only related to the ratio of the two horizons. The entropic forces between the two event horizons promote the separation of the cosmic horizon from the black hole event horizon, but the entropic forces of the two parts vary with the position ratio of the two event horizons. This paper explores the characteristics of four-dimensional Gauss–Bonnet gravity and seeks for the intrinsic factors of the expansion of the universe by analyzing the variation law of entropy force between two horizons with the position ratio.