Phase Transition of the Higher Dimensional Charged Gauss-Bonnet Black Hole in de Sitter Spacetime

Abstract EN

We study the phase transition of charged Gauss-Bonnet-de Sitter (GB-dS) black hole.

For blackholes in de Sitter spacetime, there is not only black hole horizon, but also cosmological horizon.

The thermodynamic quantities on both horizons satisfy the first law of the black hole thermodynamics,respectively; moreover, there are additional connections between them.

Using the effectivetemperature approach, we obtained the effective thermodynamic quantities of charged GB-dS blackhole.

According to Ehrenfest classification, we calculate some response functions and plot theirfigures, from which one can see that the spacetime undergoes a second-order phase transition atthe critical point.

It is shown that the critical values of effective temperature and pressure decreasewith the increase of the value of GB parameter α.