stu Black Holes Unveiled

Bellucci, Stefano; Ferrara, S.; Marrani, Alessio; Yeranyan, Armen

doi:10.3390/e10040507

Cited by 87 publications

(203 citation statements)

References 115 publications

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“…It should be here remarked that in the non-rotating (χ i = 0) single-centered non-BPS BH solution supported by the Kaluza-Klein p 0 , q 0 -configuration [23,36] …”

Section: Jhep05(2013)127mentioning

confidence: 96%

“…By plugging the phases (4.13) into the eqs. (3.30), one retrieves the known expression for the non-BPS fake superpotential W nBP S for a non-rotating single-centered non-BPS BH in stu model (with non-vanishing Z at the horizon) [23]; in order to achieve a complete agreement in notations, one should parametrize the integrals of motion as λ a ≡ e αa νξ a + ρ a e αa ν − 1 , (4.15)…”

Section: Jhep05(2013)127mentioning

confidence: 99%

“…of [14,15]. Moreover, the three λ a 's satisfy the single constraint (4.11), and therefore only two of them are independent; this reflects the existence of two "flat" directions along the non-rotating single-centered stu non-BPS flow [23,35]. A noteworthy feature of λ a 's is that they are in fact integrals of motion in D = 3 flat space; indeed, from the above eqs.…”

Section: Jhep05(2013)127mentioning

confidence: 99%

“…based on the first order reformulation of the scalar equations of motion, was introduced in [18], and then developed in various works [19][20][21][22][23][24]. The possibility to switch from second order to first order differential equations of motion -without doubling their number -has an applicative relevance.…”

Section: Jhep05(2013)127mentioning

confidence: 99%

“…(2.14)). The counting of the two "flat" directions along the (non-BPS, "large") flows in the stu model [23,35] is retrieved by considering that in this class the tree partial differential eqs. (4.2) for the tree phases α a 's are supplemented by the algebraic constraint (4.6) (see also the treatment of next subsection).…”

Section: Jhep05(2013)127mentioning

confidence: 99%

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Multi-centered first order formalism

Ferrara

Marrani

Shcherbakov

et al. 2013

J. High Energ. Phys.

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We propose a first order formalism for multi-centered black holes with flat three-dimensional base-space, within the stu model of N = 2, D = 4 ungauged MaxwellEinstein supergravity. This provides a unified description of first order flows of this universal sector of all models with a symmetric scalar manifold which can be obtained by dimensional reduction from five dimensions.We develop a D = 3 Cartesian formalism which suitably extends the definition of central and matter charges, as well as of black hole effective potential and first order "fake" superpotential, in order to deal with not necessarily axisimmetric solutions, and thus with multi-centered and/or (under-)rotating extremal black holes.We derive general first order flow equations for composite non-BPS and almost BPS classes, and we analyze some of their solutions, retrieving various single-centered (static or under-rotating) and multi-centered known systems.As in the t 3 model, the almost BPS class turns out to split into two general branches, and the well known almost BPS system is shown to be a particular solution of the second branch.

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“…It should be here remarked that in the non-rotating (χ i = 0) single-centered non-BPS BH solution supported by the Kaluza-Klein p 0 , q 0 -configuration [23,36] …”

Section: Jhep05(2013)127mentioning

confidence: 96%

Section: Jhep05(2013)127mentioning

confidence: 99%

Section: Jhep05(2013)127mentioning

confidence: 99%

Section: Jhep05(2013)127mentioning

confidence: 99%

Section: Jhep05(2013)127mentioning

confidence: 99%

See 3 more Smart Citations

Multi-centered first order formalism

Ferrara

Marrani

Shcherbakov

et al. 2013

J. High Energ. Phys.

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Extremal black hole flows and duality invariants

Ceresole¹

2010

Fortschritte der Physik

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Extremal black holes in Maxwell‐Einstein supergravities with scalar fields can be obtained as solutions of first order flow equations even when they are not supersymmetric, provided one identifies a suitable superpotential W entering the effective potential, and driving the evolution of the scalar fields. We briefly review the main ideas for the construction of W in terms of duality invariants of N = 2 special geometry and we comment on its properties in wider contexts.

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SAM Lectures on Extremal Black Holes in d = 4 Extended Supergravity

Bellucci

Ferrara

Günaydın³

et al. 2010

Springer Proceedings in Physics

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We report on recent results in the study of extremal black hole attractors in N = 2, d = 4 ungauged Maxwell-Einstein supergravities.For homogeneous symmetric scalar manifolds, the three general classes of attractor solutions with non-vanishing Bekenstein-Hawking entropy are discussed. They correspond to three (inequivalent) classes of orbits of the charge vector, which sits in the relevant symplectic representation R V of the U -duality group. Other than the 1 2 -BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge.The complete classification of the U -duality orbits, as well as of the moduli spaces of non-BPS attractors (spanned by the scalars which are not stabilized at the black hole event horizon), is also reviewed.Finally, we consider the analogous classification for N 3-extended, d = 4 ungauged supergravities, in which also the 1 N -BPS attractors yield a related moduli space.arXiv:0905.3739v1 [hep-th]

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stu Black Holes Unveiled

Cited by 87 publications

References 115 publications

Multi-centered first order formalism

Multi-centered first order formalism

Extremal black hole flows and duality invariants

SAM Lectures on Extremal Black Holes in d = 4 Extended Supergravity

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