Abstract
We examine the thermodynamic behaviour of charged, asymptotically de Sitter black holes embedded in a finite-radius isothermal cavity, with a Born-Infeld gauge field replacing the ordinary Maxwell field. We find that the non-linearities of Born-Infeld theory lead to the presence of reentrant phase transitions in the canonical ensemble, whose existence and character are determined by the maximal electric field strength of the theory. We also examine the phase structure in the grand canonical ensemble, and demonstrate the presence of a new reentrant phase transition from radiation, to an intermediate size black hole, and back to radiation.
Highlights
Another way of understanding the issue is that asymptotically de Sitter black holes lack a natural confining ‘box’ with which to achieve thermodynamic equilibrium
We find that the non-linearities of Born-Infeld theory lead to the presence of reentrant phase transitions in the canonical ensemble, whose existence and character are determined by the maximal electric field strength of the theory
The introduction of an isothermal cavity as an equilibrating mechanism allows for the study of a wealth of thermodynamic phenomena in various asymptotically de Sitter spacetimes
Summary
Black hole phase transitions have provided us with important insights into quantum gravity in the context of the AdS/CFT correspondence [23]. Through AdS/CFT, a wide variety of gravitational phenomena can be understood in terms of their CFT counterparts, providing a powerful tool for investigating strongly coupled systems such as quark-gluon plasmas, condensed matter systems, and superfluids [24] This has motivated further study into the thermodynamic phase structure of AdS black holes, where extensive effort has been devoted to understanding the extended phase space, in which the cosmological constant acts as a thermodynamic pressure [13, 25] via the identification. As in EinsteinMaxwell-de Sitter gravity [20], this choice does not change the qualitative behaviour of the critical phenomena, only the numerical values of various quantities and critical points It is the more natural choice of reference since empty de Sitter space has the same asymptotics and topology near the boundary as Born-Infeld-de Sitter space. Plotting F (T ) for fixed pressure reveals whether any phase transitions occur in the system
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