Abstract
In this study, we examine the laws of thermodynamics and the weak cosmic censorship conjecture in the normal and extended phase spaces of Born-Infeld-anti-de Sitter black holes by considering a charged particle absorption. In the normal phase space, the first and second laws of thermodynamics as well as the weak cosmic censorship are still valid. However, in the extended phase space, the second law of thermodynamics is violated for double-horizon black holes and part of single-horizon black holes. The first law of thermodynamics and the weak cosmic censorship conjecture are still valid for all types of black holes. In addition, we found that the shift of the metric function, which determines the locations of the horizons, takes the same form at the minimum point in both the normal and extended phase spaces, indicating that the weak cosmic censorship conjecture is independent of the thermodynamic phase space.
Highlights
Reissner-Nordstrom [16] black hole and near-extremal Kerr black hole [17]
We investigated the laws of thermodynamics, and weak cosmic censorship conjecture in the normal phase space and extended phase space
We found that T dS − Y dV − bdB = |P+r |, the relation between the energy and momentum can be written as the first law of thermodynamics in the extended phase space
Summary
The solution of the Born-Infeld AdS black hole can be written as [67,68,69]. Which reminds us that the chemical potential depends on the Born-Infeld parameter. They claimed that bQ ≥ 0.5 should be satisfied in order to have a real root for re. It was later found that there was a single horizon black hole solution in the region 0 ≤ bQ < 0.5 [71]. The single horizon black hole exists in the region. If the black hole mass is larger than the marginal mass, there are only single horizon black holes
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