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Title: Static black holes with axial symmetry in asymptotically AdS(4) spacetime
Author: Kichakova, Olga
Kunz, Jutta
Radu, Eugen
Shnir, Yasha
Issue Date: Feb-2016
Publisher: American Physical Society
Abstract: The known static electrovacuum black holes in a globally AdS(4) background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an explicit dependence on the azimuthal angle phi, which, however, does not manifest at the level of the energy-momentum tensor. As a result, the full solutions are axially symmetric only, possessing a single (timelike) Killing vector field. Explicit examples of such static black holes are constructed in Einstein-(complex) scalar field and Einstein-Yang-Mills theories. The basic properties of these solutions are discussed, looking for generic features. For example, we notice that the horizon has an oblate spheroidal shape for solutions with a scalar field and a prolate one for black holes with Yang-Mills fields. The deviation from sphericity of the horizon geometry manifests itself in the holographic stress tensor. Finally, based on the results obtained in the probe limit, we conjecture the existence in Einstein-Maxwell theory of static black holes with axial symmetry only.
Peer review: yes
DOI: 10.1103/PhysRevD.93.044037
ISSN: 2470-0010
Appears in Collections:CIDMA - Artigos
DFis - Artigos
GGDG - Artigos

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