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GR: Gravitation und Relativitätstheorie

GR 2: Schwarze Löcher

GR 2.1: Fachvortrag

Montag, 24. März 2003, 17:30–17:50, A310

Rotating Einstein-Yang-Mills-Dilaton Black Holes — •Jutta Kunz¹, Burkhard Kleihaus², and Francisco Navarro-Lerida³ — ¹Fachbereich Physik, Universität Oldenburg, Postfach 2503, D-26111 Oldenburg — ²Department of Mathematical Physics, University College, Dublin, Dublin 4, Ireland — ³Dept. de Fisica II, Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid, Spain

We consider stationary axially symmetric black holes in SU(2) Einstein-Yang-Mills-dilaton theory [1,2]. These asymptotically flat solutions possess non-trivial non-Abelian gauge fields outside their event horizon and carry non-Abelian electric charge but no non-Abelian magnetic charge. In the limit of vanishing angular momentum they emerge from the neutral static axially symmetric Einstein-Yang-Mills-dilaton black holes, labeled by the node number and winding number of the gauge fields. In the limit of an infinite node number the non-Abelian black holes tend pointwise to Abelian black holes with vanishing electric charge, and magnetic charge proportional to the winding number. Surprisingly, the coupling to the dilaton allows for black hole solutions with non-trivial electric field but vanishing non-Abelian electric charge [2]. We present a new mass formula for the non-Abelian black holes which also holds for Abelian black holes [2]. Finally we address the question of a modified uniqueness conjecture for these hairy black holes.
[1] Kleihaus, Kunz, and Navarro-Lérida, Phys. Rev. D 66, 104001,(2002), (gr-qc/0207042).
[2] Kleihaus, Kunz, and Navarro-Lérida, hep-th/0210197.