Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume

By N. Altamirano, D. Kubizňák, Robert B. Mann, Z. Sherkatghanad. 2014

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Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran* Author to whom correspondence should be addressed; E-Mail: rbmann@sciborg.uwaterloo.ca;Tel.: +1-519-882-1211.Received: 9 January 2014; in revised form: 6 February 2014 / Accepted: 7 February 2014 /Published: 3 March 2014Abstract: In this review we summarize, expand, and set in context recent developmentson the thermodynamics of black holes in extended phase space, where the cosmologicalconstant is interpreted as thermodynamic pressure and treated as a thermodynamic variablein its own right. We speciﬁcally consider the thermodynamics of higher-dimensionalrotating asymptotically ﬂat and AdS black holes and black rings in a canonical (ﬁxedangular momentum) ensemble. We plot the associated thermodynamic potential—theGibbs free energy—and study its behavior to uncover possible thermodynamic phasetransitions in these black hole spacetimes. We show that the multiply-rotating Kerr-AdSblack holes exhibit a rich set of interesting thermodynamic phenomena analogous to the“every day thermodynamics” of simple substances, such as reentrant phase transitions ofmulticomponent liquids, multiple ﬁrst-order solid/liquid/gas phase transitions, and liquid/gasphase transitions of the van der Waals type. Furthermore, the reentrant phase transitions alsooccur for multiply-spinning asymptotically ﬂat Myers–Perry black holes. These phenomenado not require a variable cosmological constant, though they are more naturally understoodin the context of the extended phase space. The thermodynamic volume, a quantity conjugateto the thermodynamic pressure, is studied for AdS black rings and demonstrated to satisfy thereverse isoperimetric inequality; this provides a ﬁrst example of calculation conﬁrming the

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2dcce3dcf07e0fdb34751540822cc8a6f5cdab00

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Citations in the corpus

Black hole chemistry: thermodynamics with Lambda (2016, background): “For black holes in the ultraspinning regime a l → , the rotational part completely dominates and the thermodynamic volume becomes very different from its geometric counterpart [27].”
Effects of dark energy on P–V criticality of charged AdS black holes (2014, result): “matical analogy in former literatures. Their work was soon Preprint submitted toPhysics Letters B September 18, 2018 elaborated [9]-[29] by researchers all over the world. For a nice review, see Ref. [23]. It is widely believed that our universe is expanding with acceleration. This opinion is suppor”
Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “[42] N.”
Holographic heat engines (2014, background): “e enthalpy. It is important to note that the entropy Sis already related to the horizon radius through its relation to 1For a selection of references, see refs. [5{13], including the reviews in refs. [14,15]. See also the early work in refs. [16{18]. 2The term \associated" is used since there i”
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “Finally, comparing the physics of black holes with real world thermodynamic systems becomes a much more reasonable possibility [37], insofar as tricriticality, reentrant phase transitions, and Van der Waals behaviour all have counterparts in laboratory physics [4–7, 13, 20, 21]; an extensive review ”