Five-dimensional gauged supergravity black holes with independent rotation parameters (original) (raw)
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General Nonextremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
Physical Review Letters, 2005
We construct the general solution for non-extremal charged rotating black holes in five-dimensional minimal gauged supergravity. They are characterised by four non-trivial parameters, namely the mass, the charge, and the two independent rotation parameters. The metrics in general describe regular rotating black holes, providing the parameters lie in appropriate ranges so that naked singularities and closed timelike curves (CTC's) are avoided. We calculate the conserved energy, angular momenta and charge for the solutions, and show how supersymmetric solutions arise in a BPS limit. These have naked CTC's in general, but for special choices of the parameters we obtain new regular supersymmetric black holes or smooth topological solitons.
Non-extremal charged rotating black holes in seven-dimensional gauged supergravity
Physics Letters B, 2005
We obtain the solution for non-extremal charged rotating black holes in sevendimensional gauged supergravity, in the case where the three rotation parameters are set equal. There are two independent charges, corresponding to gauge fields in the U (1) × U (1) abelian subgroup of the SO(5) gauge group. A new feature in these solutions, not seen previously in lower-dimensional examples, is that the first-order "odd-dimensional self-duality" equation for the 4-form field strength plays a non-trivial rôle. We also study the BPS limit of our solutions where the black holes become supersymmetric. Our results are of significance for the AdS 7 /CFT 6 correspondence in M-theory.
Non-Abelian rotating black holes in 4- and 5-dimensional gauged supergravity
Journal of High Energy Physics, 2019
We present new supersymmetric black-hole solutions of the 4- and 5-dimensional gauged supergravity theories that one obtains by dimensional reduction onT5andT6of Heterotic supergravity with a triplet of Yang-Mills fields. The new ingredient of our solutions is the presence of dyonic non-Abelian fields which allows us to obtain a generalization of the BMPV black hole with two independent angular momenta and the first example of a supersymmetric, rotating, asymptotically-flat black hole with a regular horizon in 4 dimensions.
Charged rotating black holes in four-dimensional gauged and ungauged supergravities
Nuclear Physics B, 2005
We study four-dimensional non-extremal charged rotating black holes in ungauged and gauged supergravity. In the ungauged case, we obtain rotating black holes with four independent charges, as solutions of N = 2 supergravity coupled to three abelian vector multiplets. This is done by reducing the theory along the time direction to three dimensions, where it has an O(4, 4) global symmetry. Applied to the reduction of the uncharged Kerr metric, O(1, 1) 4 ⊂ O(4, 4) transformations generate new solutions that correspond, after lifting back to four dimensions, to the introduction of four independent electromagnetic charges. In the case where these charges are set pairwise equal, we then generalise the four-dimensional rotating black holes to solutions of gauged N = 4 supergravity, with mass, angular momentum and two independent electromagnetic charges. The dilaton and axion fields are non-constant. We also find generalisations of the gauged and ungauged solutions to include the NUT parameter, and for the ungauged solutions, the acceleration parameter too. The solutions in gauged supergravity provide new gravitational backgrounds for a further study of the AdS 4 /CFT 3 correspondence at non-zero temperature.
On uniqueness of charged Kerr–AdS black holes in five dimensions
Classical and Quantum Gravity, 2005
We show that the solutions describing charged rotating black holes in fivedimensional gauged supergravities found recently by Cvetič, Lü and Pope [1, 2] are completely specified by the mass, charges and angular momentum. The additional parameter appearing in these solutions is removed by a coordinate transformation and redefinition of parameters. Thus, the apparent hair in these solutions is unphysical.
The European Physical Journal C
Generally a black hole could be over-charged/spun, violating the weak cosmic censorship conjecture (WCCC) for linear order accretion while the same is always restored for non-linear accretion. The only exception, however, is that of a five-dimensional rotating black hole with single rotation, which cannot be overspun even at linear order. In this paper we investigate this question for a five-dimensional charged rotating minimally gauged supergravity black hole and show that it could not be overspun under non-linear accretion, thereby respecting WCCC. However, in the case of single rotation WCCC is also respected for linear accretion when the angular momentum of the accreting particle is greater than its charge irrespective of the relative dominance of the charge and rotation parameters of the black hole.
On the uniqueness of supersymmetric black holes in AdS(5)
Classical and Quantum Gravity, 2008
We study the possibility of having Black hole of spherical and ring horizon topology with five independent charges in the U(1) 3-model of 5D gauge supergravity. To study these possibilities we consider not only the known result obtained by local supersymmetry analysis but include the input coming from non-local properties of the solutions, like the attractor mechanism, the entropy function of Sen, the Euclidean formulation and general properties of the uplift to ten dimension. For the spherical case, we found that there is no room for more general Black holes than the ones already describe in hep-th/0601156. On the other hand, if a solution of ring horizon topology exists, we conclude that it must be labeled by three independent parameters only, since it has to satisfy two independent constraints that we explicitly find in terms of its chemical potentials. At the end of the article, based on all the local and non-local information, we put forward a conjecture on the constraints that characterize general Black holes dual to N = 4 SYM.
Black holes of D = 5 supergravity
Classical and Quantum Gravity, 1999
We discuss some general features of black holes of five-dimensional supergravity, such as the first law of black hole mechanics. We also discuss some special features of rotating supersymmetric black holes. In particular, we show that the horizon is a non-singular, and non-rotating, null hypersurface whose intersection with a Cauchy surface is a squashed 3-sphere. We find the Killing spinors of the near-horizon geometry and thereby determine the near-horizon isometry supergroup.
Multi-centered black holes in gauged D=5 supergravity
Physics Letters B, 2001
One of the important consequences of the no-force condition for BPS states is the existence of stable static multi-center solutions, at least in ungauged supergravities. This observation has been at the heart of many developments in brane physics, including the construction of intersecting branes and reduced symmetry D-brane configurations corresponding to the Coulomb branch of the gauge theory. However the search for multi-center solutions to gauged supergravities has proven rather elusive. Because of the background curvature, it appears such solutions cannot be static. Nevertheless even allowing for time dependence, general multi-center solutions to gauged supergravity have yet to be constructed. In this letter we investigate the construction of such solutions for the case of D = 5, N = 2 gauged supergravity coupled to an arbitrary number of vector multiplets. Formally, we find a family of time dependent multi-center black hole solutions which are easily generalized to the case of AdS supergravities in general dimensions. While these are not true solutions, as they have a complex metric and gauge potential, they may be related to a Wick rotated theory or to a theory where the coupling is taken to be imaginary. These solutions thus provide a partial realization of true multi-center black-holes in gauged supergravities.