Hawking-Page phase transitions of charged AdS black holes surrounded by quintessence

Hawking-Page phase transitions between the thermal anti-de Sitter vacuum and charged black holes surrounded by quintessence are studied in the extended phase space.The quintessence field,with the state parameter-1 <w <-1/3,modifies the temperature and the Gibbs free energy of a black hole.The phase transition temperature THPand the Gibbs free energy G are first analytically investigated for the special case of w=-2/3,and then,the results of numerical simulations are shown for general w.The phase transition temperature THPincreases with pressure and decreases with electric potential.In addition,THPsignificantly decreases owing to the quintessence field,which generates negative pressure around the black hole.