Solutions of the Coupled Einstein-Maxwell Equations Representing the Fields of Spinning Sources

Perjés, Zoltán

doi:10.1103/physrevlett.27.1668

Cited by 173 publications

(141 citation statements)

References 10 publications

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“…However, the extreme limit for this solution is reached at m 2 − |q| 2 = J 2 and therefore the extremal Kerr-Newman solution does not have any unbroken supersymmetry. The supersymmetric solution with m = |q| for non-vanishing angular momentum J turns out to belong to the Israel-Wilson-Perjés family of metrics [2] and is known to have naked singularities [3]. Other rotating black hole solutions in 4D have been found with 1/2 and 1/4 of unbroken supersymmetry of N=4 theory but they always have naked singularities (see [4] for a review).…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric rotating black holes and attractors

1997

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Five-dimensional stringy rotating black holes are embedded into N=2 supergravity interacting with one vector multiplet. The existence of an unbroken supersymmetry of the rotating solution is proved directly by solving the Killing spinor equations. The asymptotic enhancement of supersymmetry near the horizon in the presence of rotation is established via the calculation of the super-curvature. The area of the horizon of the rotating supersymmetric black holes is found to be Z 3 fix − J 2 , where Z fix is the extremal value of the central charge in moduli space. *

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Section: Introductionmentioning

confidence: 99%

Supersymmetric rotating black holes and attractors

1997

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“…By all the supersymmetric configurations we mean all the field configurations that admit at least one Killing spinor, or equivalently one supercharge out of the 4N possible ones. The timelike supersymmetric solutions are generalizations of the Perjès-Israel-Wilson [3] stationary solutions of the Einstein-Maxwell system which themselves generalize the static solutions found by Papapetrou and Majumdar [4]. The solutions in the null class are examples of Brinkmann waves [5].…”

Section: Introductionmentioning

confidence: 99%

All the timelike supersymmetric solutions of all ungauged d = 4 supergravities

Meessen

Ortı́n

Vaulá

2010

J. High Energ. Phys.

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We determine the form of all timelike supersymmetric solutions of all N ≥ 2, d = 4 ungauged supergravities, for N ≤ 4 coupled to vector supermultiplets, using the Usp(n,n)-symmetric formulation of Andrianopoli, D'Auria and Ferrara and the spinor-bilinears method, while preserving the global symmetries of the theories all the way.As previously conjectured in the literature, the supersymmetric solutions are always associated to a truncation to an N = 2 theory that may include hypermultiplets, although fields which are eliminated in the truncations can have non-trivial values, as is required by the preservation of the global symmetry of the theories.The solutions are determined by a number of independent functions, harmonic in transverse space, which is twice the number of vector fields of the theory (n). The transverse space is flat if an only if the would-be hyperscalars of the associated N = 2 truncation are trivial.

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“…The force balance can be confirmed by a charged probe particle. The spinning version of the MP solution has been constructed by Israel-Wilson [7] and Perjes [8]. Unfortunately, the solution has naked singularities [9] when Q = M .…”

Section: Introductionmentioning

confidence: 99%

A probe particle in a Kerr-Newman-de Sitter cosmos

Shiromizu

Gen

2000

Class. Quantum Grav.

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We consider the force acting on a spinning charged test particle (probe particle) with the mass m and the charge q in slow rotating the Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We consider the case which the spin vector of the probe particle is parallel to the angular momentum vector of the KNdS space-time. We take account of the gravitational spin-spin interaction under the slow rotating limit of the KNdS space-time. When Q = M and q = m, we show that the force balance holds including the spin-spin interaction and the motion is approximately same as that of a particle in the deSitter space-time. This force cancellation suggests the possibility of the existence of an exact solution of spinning multi-KNdS black hole.

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Solutions of the Coupled Einstein-Maxwell Equations Representing the Fields of Spinning Sources

Cited by 173 publications

References 10 publications

Supersymmetric rotating black holes and attractors

Supersymmetric rotating black holes and attractors

All the timelike supersymmetric solutions of all ungauged d = 4 supergravities

A probe particle in a Kerr-Newman-de Sitter cosmos

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