Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization

By S. Gunasekaran, D. Kubizňák, Robert B. Mann. Journal of High Energy Physics, 2012

650 citations recorded by the source corpus.

We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an extended phase space in which the cosmological constant is interpreted as thermodynamic pressure. For Reissner-Nördstrom black holes we find that the analogy with the Van der Walls liquid-gas system holds in any dimension greater than three, and that the critical exponents coincide with those of the Van der Waals system. We find that neutral slowly rotating black holes in four space-time dimensions also have the same qualitative behaviour. However charged and rotating black holes in three spacetime dimensions do not exhibit critical phenomena. For Born-Infeld black holes we define a new thermodynamic quantity B conjugate to the Born-Infeld parameter b that we call Born-Infeld vacuum polarization. We demonstrate that this quantity is required for consistency of both the first law of thermodynamics and the corresponding Smarr relation.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dee5241f684df245b6bd0ebcbc515a9774cca715

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Citations in the corpus

Black hole chemistry: thermodynamics with Lambda (2016, methodology): “Consequently B has been referred to as ‘Born–Infeld vacuum polarization’ [83].”
Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes (2014, background): “At T = Tc, a second-order phase transition occurs [25].”
Reentrant phase transitions in rotating anti–de Sitter black holes (2013, background): “We find that the critical exponents α = 0, β = 1/2, γ = 1, δ = 3 match those of a Van der Waals fluid, though the critical ratio ρc = Pcvc Tc = 2d−3 4(d−1) differs; note that it reduces to ρc = 5/12 for d = 4 [13].”
Effects of dark energy on P–V criticality of charged AdS black holes (2014, background): “elaborated [9]-[29] by researchers all over the world.”
On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes (2013, methodology): “Cω3 +O(tω2,ω4), (3.20) where C = 1 q˜3 1 ρc − f (3)(1) 6 .Diﬀerentiating the series for a ﬁxed t < 0 we get dP = −Pc t ˜qρ c +3Cω2 dω. (3.21) Employing Maxwell’s equal area law, see, e.g., [35, 36, 38], while denoting ωg and ωl the ‘volume’ of small and large black holes, we get the following”
Topology of black hole thermodynamics (2021, methodology): “After treating the cosmological constant as the pressure, the Hawking temperature takes the following form [24]”
Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “[38] S.”
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, methodology): “A similar situation was seen to occur in Born-Infeld electrodynamics, in which the thermodynamics conjugate to the Born-Infeld coupling constant was interpreted as vacuum polarization [14].”
Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes (2013, background): “1), P = − Λ 8π < 0, commensurate with the definition in the anti de Sitter case [13].”
Black Hole Chemistry (2014, result): “Similar behaviour has been obs erved for Born–Infeld black holes [17].”