Non-extreme Calabi-Yau black holes

Kastor, David; Win, Kyaw Zin

doi:10.1016/s0370-2693(97)00988-x

Cited by 15 publications

(23 citation statements)

References 24 publications

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“…This has the same form as the extremal supersymmetric entropy [1] with the charges (q 0 , p A ) replaced by (Q 0 , P A ), which are functions of the original charges, the asymptotic moduli and the non-extremality parameter. This is the same behavior as seen at the R-level [11]. Note also that the higher curvature correction to the entropy, does not depend on µ, nor on the asymptotic moduli at infinity, similar to case of small near-extremal black holes [10].…”

Section: Non-extremal Black Holes With a Supersymmetric Extremal Limitsupporting

confidence: 78%

“…In our convention D ≡ D ABC p A p B p C > 0. 3 For q 0 > 0 one can have a non-extremal solution [11] with a supersymmetric extremal limit [16,1,6]. By reversing the sign of the charge q 0 , but taking the moduli to depend on the absolute value, one can have a non-extremal solution with a non-supersymmetric extremal limit [17,7,8].…”

Section: Formulation Of the Calculationmentioning

confidence: 99%

“…Non-extremal black holes without R 2 -terms were discussed in [11]. When considering the Bekenstein-Hawking entropy one notices that it has the same form as that of the extremal black holes, with the charges being replaced by a specific function of the charges and the nonextremality parameters.…”

Section: Introductionmentioning

confidence: 99%

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Large Charge Four-Dimensional Non-Extremal N=2 Black Holes with R^2-Terms

Gruss

2009

Preprint

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We consider N = 2 supergravity in four dimensions with small R 2 curvature corrections. We construct large charge non-extremal black hole solutions in all space, with either a supersymmetric or a non-supersymmetric extremal limit, and analyze their thermodynamic properties. This generalizes some of the extremal solutions presented in [arXiv:0902.0831]. The indexed entropy of the non-extremal extension of the supersymmetric black hole, has the form of the extremal entropy, with the charges replaced by a function of the charges, the moduli at infinity and the non-extremality parameter. This is the same behavior as in the case without R 2 -terms.

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Section: Non-extremal Black Holes With a Supersymmetric Extremal Limitsupporting

confidence: 78%

Section: Formulation Of the Calculationmentioning

confidence: 99%

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Large Charge Four-Dimensional Non-Extremal N=2 Black Holes with R^2-Terms

Gruss

2009

Preprint

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“…On the other hand, for a specific choice of V it is possible to find an explicit solution in terms of harmonic functions, in particular for analogs of the "toroidal"-type compactifications discussed for the ungauged cases in [17,16]. This is the three-charge configuration with no self-intersections, i.e.…”

Section: Scalar Equationsmentioning

confidence: 99%

Non-extreme black holes of five-dimensional N = 2 AdS supergravity

1999

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We derive and analyse the full set of equations of motion for non-extreme static black holes (including examples with the spatial curvatures k = −1 and k = 0) in D=5 N =2 gauged supergravity by employing the techniques of "very special geometry". These solutions turn out to differ from those in the ungauged supergravity only in the non-extremality function, which has an additional term (proportional to the gauge coupling g), responsible for the appearance of naked singularities in the BPS-saturated limit. We derive an explicit solution for the ST U model of gauged supergravity which is incidentally also a solution of D=5 N =4 and N =8 gauged supergravity. This solution is specified by three charges, the asymptotic negative cosmological constant (minimum of the potential) and a non-extremality parameter. While its BPS-saturated limit has a naked singularity, we find a lower bound on the non-extremality parameter (or equivalently on the ADM mass) for which the non-extreme solutions are regular. When this bound is saturated the extreme (non-supersymmetric) solution has zero Hawking temperature and finite entropy. Analogous qualitative features are expected to emerge for black hole solutions in D = 4 gauged supergravity as well. a behrndt@physik.hu-berlin.de b cvetic@cvetic.hep.upenn.edu c ws00@aub.edu.lb Within this more general setting we address such static black holes, with k = ±1, 0. After briefly reviewing D=5 N = 2 gauged supergravity theory in Section 2 we derive d BPS-saturated topological black holes in gauged supergravity, also with naked singularities, were obtained in [5,6].

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“…However, this would need to be checked with explicit non-extremal black hole solutions different than STU black holes, see e.g. [23]. Let us finally comment on quadratic prepotentials.…”

Section: The F-invariantmentioning

confidence: 99%

E 7(7) invariant non-extremal entropy

Compère

Lekeu

2016

J. High Energ. Phys.

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The entropy of generic non-extremal dyonic black holes in the STU model has been shown to admit a remarkably universal form. The missing invariant in the formula was recently identified by Sárosi using the formalism of quantum entanglement as well as a higher dimensional embedding of the U-duality group. Here, we express the non-extremal black hole entropy in the STU model in terms of U-duality covariant tensors. We then provide the extension to the most general non-extremal black hole of ungauged N = 8 supergravity using E 7(7) invariants. We also conjecture a generalization for ungauged N = 2 supergravity coupled to vector multiplets with arbitrary cubic prepotential. The most general rotating dyonic black hole solution of the STU model with all scalar moduli turned on is provided in an appendix.

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Non-extreme Calabi-Yau black holes

Cited by 15 publications

References 24 publications

Large Charge Four-Dimensional Non-Extremal N=2 Black Holes with R^2-Terms

Large Charge Four-Dimensional Non-Extremal N=2 Black Holes with R^2-Terms

Non-extreme black holes of five-dimensional N = 2 AdS supergravity

E 7(7) invariant non-extremal entropy

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