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Phys. Rev. D 70, 124012 (2004) [10 pages]

Multiscalar black holes with contingent primary hair: Mechanics and stability

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Salvatore Mignemi1,2 * and David L. Wiltshire3,4 †,‡
1Dipartimento di Matematica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy
2INFN, Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy
3Department of Physics and Mathematical Physics, University of Adelaide, Adelaide, S.A. 5005, Australia
4Department of Physics and Astronomy, University of Canterbury, Private Bag 4800, Christchurch, New Zealand

Received 15 September 2004; published 17 December 2004

We generalize a class of magnetically charged black holes nonminimally coupled to two scalar fields previously found by one of us to the case of multiple scalar fields. The black holes possess a novel type of primary scalar hair, which we call a contingent primary hair: although the solutions possess degrees of freedom which are not completely determined by the other charges of the theory, the charges necessarily vanish in the absence of the magnetic monopole. Only one constraint relates the black hole mass to the magnetic charge and scalar charges of the theory. We obtain a Smarr-type thermodynamic relation, and the first law of black hole thermodynamics for the system. We further explicitly show in the two-scalar-field case that, contrary to the case of many other hairy black holes, the black hole solutions are stable to radial perturbations.


©2004 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.70.124012
DOI: 10.1103/PhysRevD.70.124012
PACS: 04.70.Bw, 04.70.Dy, 11.25.–w

* Electronic address: smignemi@unica.it
† Electronic address: d.wiltshire@phys.canterbury.ac.nz
‡ Present address: Department of Physics and Astronomy, University of Canterbury, Private Bag 4800, Christchurch, New Zealand

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