The Hawking–Page phase transitions in the extended phase space in the Gauss–Bonnet gravity

• Published in: The European physical journal. C, Particles and fields Vol. 80; no. 4; pp. 1 - 14
• Main Authors: Su, Bing-Yu, Wang, Yuan-Yuan, Li, Nan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Advertising executives; Angular velocity; Astronomy; Astrophysics and Cosmology; Cosmological constant; Elementary Particles; Gibbs free energy; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Numerical methods; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Thermodynamics; Transition temperature
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-7870-5

In this paper, the Hawking–Page phase transitions between the black holes and thermal anti-de Sitter (AdS) space are studied with the Gauss–Bonnet term in the extended phase space, in which the varying cosmological constant plays the role of an effective thermodynamic pressure. The Gauss–Bonnet term exhibits its effects via introducing the corrections to the black hole entropy and Gibbs free energy. The global phase structures, especially the phase transition temperature T HP and the Gibbs free energy G , are systematically investigated, first for the Schwarzschild–AdS black holes and then for the charged and rotating AdS black holes in the grand canonical ensembles, with both analytical and numerical methods. It is found that there are terminal points in the coexistence lines, and T HP decreases at large electric potentials and angular velocities and also decreases with the Gauss–Bonnet coupling constant α .