Rotating black holes in gauged supergravities: Thermodynamics, supersymmetric limits, topological solitons and time machines

By M. Cvetič, C. Pope, Hong Lu, G. W. Gibbons. 2005

138 citations recorded by the source corpus.

We study the thermodynamics of the recently-discovered non-extremal charged rotating black holes of gauged supergravities in five, seven and four dimensions, obtaining energies, angular momenta and charges that are consistent with the first law of thermodynamics. We obtain their supersymmetric limits by using these expressions together with an analysis of the AdS superalgebras including R-charges. We give a general discussion of the global structure of such solutions, and apply it in the various cases. We obtain new regular supersymmetric black holes in seven and four dimensions, as well as reproducing known examples in five and four dimensions. We also obtain new supersymmetric non-singular topological solitons in five and seven dimensions. The rest of the supersymmetric solutions either have naked singularities or naked time machines. The latter can be rendered nonsingular if the asymptotic time is periodic. This leads to a new type of quantum consistency condition, which we call a Josephson quantisation condition. Finally, we discuss some � = ±

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

View Paper: https://www.semanticscholar.org/paper/837459e1aa445f016a18ba60282c82f8bd5cfad4

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Citations in the corpus

Nonsupersymmetric smooth geometries and D1-D5-P bound states (2005, unknown): “It would be interesting to try to find asymptotically AdS5 generalizations of these solitons, building on the studies of black holes in gauged supergravities in [ 40 ], as in AdS it might be possible to find non-supersymmetric solitons with a globally timelike Killing vector.”
Large rotating AdS black holes from fluid mechanics (2007, methodology): “We set the parameter g in [23] to be unity and consider the limit ρ+ ≫ 1 , and Hi = 1 + 2ms(2)i ρ(6)+ fixed,”
Five-dimensional gauged supergravity black holes with independent rotation parameters (2005, methodology): “Ξ2 b+2ΞaΞb−Ξ 2 Ξ b−Ξ2 bΞa)s 2] 4Ξ2 aΞ 2 b , (11) Ja = πma(1 +s2 Ξb) 2ΞbΞ2a , Jb= πmb(1 +s2 Ξa) 2ΞaΞ2 b , Q1 = Q2 = πmsc 2ΞaΞb , Q3 = − πabms2g2 2ΞaΞb . (12) 2.2 The BPS limit As discussed recently in [11], the BPS limit of the non-extremal solution can conveniently be discussed by studying the eigen”
Black hole enthalpy and an entropy inequality for the thermodynamic volume (2010, unknown): “at is equal to zero.) 3.2 Rotating pairwise-equal 4-charge black hole in D= 4 gauged supergravity The metric for this black hole is obtained in [21]. The various thermodynamic quantities are given by [22] E = m+q1 +q2 Ξ2 , S= π(r1r2 +a2) Ξ , J= a(m+q1 +q2) Ξ2 , Q1 = Q2 = p q1(q1 +m) 2Ξ , Q3 = Q4 = p”