Nonextremal black holes are BPS

Miller, Christopher M.; Schalm, Koenraad; Weinberg, Erick J.

doi:10.1103/physrevd.76.044001

Cited by 44 publications

(98 citation statements)

References 21 publications

(30 reference statements)

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“…For a class of non extremal black holes we show that a first order formulation in terms of a prepotential W may exist and we find the corresponding description in terms of first order differential equations. This generalizes the results in [18] to the case of scalar-matter coupled gravity.…”

Section: Jhep11(2007)032supporting

confidence: 86%

See 1 more Smart Citation

First order description of black holes in moduli space

Andrianopoli¹,

D’Auria²,

Orazi³

et al. 2007

J. High Energy Phys.

104

250

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We show that the second order field equations characterizing extremal solutions for spherically symmetric, stationary black holes are in fact implied by a system of first order equations given in terms of a prepotential W . This confirms and generalizes the results in [14]. Moreover we prove that the squared prepotential function shares the same properties of a c-function and that it interpolates between M 2 ADM and M 2 BR , the parameter of the near-horizon Bertotti-Robinson geometry. When the black holes are solutions of extended supergravities we are able to find an explicit expression for the prepotentials, valid at any radial distance from the horizon, which reproduces all the attractors of the four dimensional N > 2 theories. Far from the horizon, however, for N -even, our ansatz poses a constraint on one of the U-duality invariants for the non-BPS solutions with Z = 0. We discuss a possible extension of our considerations to the non extremal case.

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Section: Jhep11(2007)032supporting

confidence: 86%

“…(2.4) and (2.6) one finds: 2 To be precise, the most general solution to the constraint (2.16) would be: 18) where α r = P rs hs and P r s ≡ "…”

Section: Extremal Casementioning

confidence: 99%

First order description of black holes in moduli space

Andrianopoli¹,

D’Auria²,

Orazi³

et al. 2007

J. High Energy Phys.

104

250

View full text Add to dashboard Cite

show abstract

“…e.g. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] for an (incomplete) list of references. In particular, ref.…”

Section: Jhep01(2017)106mentioning

confidence: 99%

Black string first order flow in N = 2, d = 5 abelian gauged supergravity

Klemm

Petri

Rabbiosi

2017

J. High Energ. Phys.

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We derive both BPS and non-BPS first-order flow equations for magnetically charged black strings in five-dimensional N = 2 abelian gauged supergravity, using the Hamilton-Jacobi formalism. This is first done for the coupling to vector multiplets only and U(1) Fayet-Iliopoulos (FI) gauging, and then generalized to the case where also hypermultiplets are present, and abelian symmetries of the quaternionic hyperscalar target space are gauged. We then use these results to derive the attractor equations for near-horizon geometries of extremal black strings, and solve them explicitely for the case where the constants appearing in the Chern-Simons term of the supergravity action satisfy an adjoint identity. This allows to compute in generality the central charge of the two-dimensional conformal field theory that describes the black strings in the infrared, in terms of the magnetic charges, the CY intersection numbers and the FI constants. Finally, we extend the r-map to gauged supergravity and use it to relate our flow equations to those in four dimensions.

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“…Previous studies on this topic, in addition to those already mentioned, can be found in [15,[18][19][20][21], and for black branes in [22,23].…”

Section: Contentsmentioning

confidence: 99%

First order flow for non-extremal AdS black holes and mass from holographic renormalization

Gnecchi

Toldo

2014

J. High Energ. Phys.

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In this paper we present a first order formulation for non-extremal Anti-de Sitter black hole solutions in four dimensional N = 2 U(1)-gauged Supergravity. The dynamics is determined in terms of a quantity W which plays the role of a superpotential for the gauging potential in the action. We show how the first order flow arises from writing the action as a sum of squares and we identify the superpotential driving the first order flow for two classes of solutions (electric and magnetic) of the t 3 model. After identifying W, we study the Hamilton-Jacobi holographic renormalization procedure in presence of mixed boundary conditions for the scalar fields. We compute the renormalized on-shell action and the mass of the black hole configurations. The expression obtained for the mass satisfies the first law of thermodynamics.

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Nonextremal black holes are BPS

Cited by 44 publications

References 21 publications

First order description of black holes in moduli space

First order description of black holes in moduli space

Black string first order flow in N = 2, d = 5 abelian gauged supergravity

First order flow for non-extremal AdS black holes and mass from holographic renormalization

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