Francisco Navarro-Lerida

Rotating Einstein-Yang-Mills Black Holes

We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory. These stationary axially symmetric black holes are asymptotically flat. They possess non-trivial non-Abelian gauge fields outside their regular event horizon, and they carry non-Abelian electric charge. In the limit of vanishing angular momentum, they emerge from the neutral static spherically symmetric EinsteinYang-Mills black holes, labelled by the node number of the gauge field function. With increasing angular momentum and mass, the non-Abelian electric charge of the solutions increases, but remains finite. The asymptotic expansion for these black hole solutions includes non-integer powers of the radial variable.

Five-dimensional charged rotating black holes

Abstract We consider charged rotating black holes in 5-dimensional Einstein–Maxwell theory. These black holes are asymptotically flat, they possess a regular horizon of spherical topology and two independent angular momenta associated with two distinct planes of rotation. We discuss their global and horizon properties, and derive a generalized Smarr formula. We construct these black holes numerically, focusing on black holes with a single angular momentum, and with two equal-magnitude angular momenta.

Higher dimensional rotating black holes in Einstein-Maxwell theory with negative cosmological constant

Abstract We present arguments for the existence of charged, rotating black holes with equal-magnitude angular momenta in an odd number of dimensions D ⩾ 5 . These solutions possess a regular horizon of spherical topology and approach asymptotically the anti-de Sitter spacetime background. We analyze their global charges, their gyromagnetic ratio and their horizon properties.

Rotating Einstein-Maxwell-dilaton black holes in D dimensions

Abstract We construct exact charged rotating black holes in Einstein–Maxwell–dilaton theory in D spacetime dimensions, D ⩾ 5 , by embedding the D-dimensional Myers–Perry solutions in D + 1 dimensions, and performing a boost with a subsequent Kaluza–Klein reduction. Like the Myers–Perry solutions, these black holes generically possess N = [ ( D − 1 ) / 2 ] independent angular momenta. We present the global and horizon properties of these black holes, and discuss their domains of existence.

D = 5 Einstein-Maxwell-Chern-Simons Black Holes

Five-dimensional Einstein-Maxwell-Chern-Simons theory with a Chern-Simons coefficient lambda = 1 has supersymmetric black holes with a vanishing horizon angular velocity but finite angular momentum. Here supersymmetry is associated with a borderline between stability and instability, since for lambda > 1 a rotational instability arises, where counterrotating black holes appear, whose horizon rotates in the opposite sense to the angular momentum. For lambda > 2 black holes are no longer uniquely characterized by their global charges, and rotating black holes with vanishing angular momentum appear.

Negative horizon mass for rotating black holes

Abstract Charged rotating black holes of Einstein–Maxwell–Chern–Simons theory in odd dimensions, D ⩾ 5 , may possess a negative horizon mass, while their total mass is positive. This surprising feature is related to the existence of counterrotating solutions, where the horizon angular velocity Ω and the angular momentum J possess opposite signs. Black holes may further possess vanishing horizon angular velocity while they have finite angular momentum, or they may possess finite horizon angular velocity while their angular momentum vanishes. In D = 9 even non-static black holes with Ω = J = 0 appear. Charged rotating black holes with vanishing gyromagnetic ratio exist, and black holes need no longer be uniquely characterized by their global charges.

Global charges of stationary non-Abelian black holes.

We consider stationary axially symmetric black holes in SU(2) Einstein-Yang-Mills-dilaton theory. We present a mass formula for these stationary non-Abelian black holes, which also holds for Abelian black holes. The presence of the dilaton field allows for rotating black holes, which possess nontrivial electric and magnetic gauge fields, but do not carry a non-Abelian charge. We further present a new uniqueness conjecture.

Stationary black holes with static and counterrotating horizons

We show that rotating dyonic black holes with static and counterrotating horizon exist in Einstein-Maxwell-dilaton theory when the dilaton coupling constant exceeds the Kaluza-Klein value. The black holes with static horizon bifurcate from the static black holes. Their mass decreases with increasing angular momentum, their horizons are prolate.

Rotating dilaton black holes with hair

We consider stationary rotating black holes in SU(2) Einstein-Yang-Mills theory, coupled to a dilaton. The black holes possess non-trivial non-Abelian electric and magnetic fields outside their regular event horizon. While generic solutions carry no non-Abelian magnetic charge, but non-Abelian electric charge, the presence of the dilaton field allows also for rotating solutions with no non-Abelian charge at all. As a consequence, these special solutions do not exhibit the generic asymptotic non-integer power fall-off of the non-Abelian gauge field functions. The rotating black hole solutions form sequences, characterized by the winding number

Rotating black holes with monopole hair

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