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Title: Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model
Author: Herdeiro, C.
Perapechka, I.
Radu, E.
Shnir, Ya
Keywords: Black Holes
Sigma Models
Solitons Monopoles and Instantons
Classical Theories of Gravity
Issue Date: 1-Feb-2019
Publisher: Springer Verlag
Abstract: We consider the O(3) non-linear sigma-model, composed of three real scalar fields with a standard kinetic term and with a symmetry breaking potential in four space-time dimensions. We show that this simple, geometrically motivated model, admits both self-gravitating, asymptotically flat, non-topological solitons and hairy black holes, when minimally coupled to Einstein’s gravity, without the need to introduce higher order kinetic terms in the scalar fields action. Both spherically symmetric and spinning, axially symmetric solutions are studied. The solutions are obtained under a ansatz with oscillation (in the static case) or rotation (in the spinning case) in the internal space. Thus, there is symmetry non-inheritance: the matter sector is not invariant under the individual spacetime isometries. For the hairy black holes, which are necessarily spinning, the internal rotation (isorotation) must be synchronous with the rotational angular velocity of the event horizon. We explore the domain of existence of the solutions and some of their physical properties, that resemble closely those of (mini) boson stars and Kerr black holes with synchronised scalar hair in Einstein-(massive, complex)-Klein-Gordon theory
Peer review: yes
DOI: 10.1007/JHEP02(2019)111
ISSN: 1126-6708
Appears in Collections:CIDMA - Artigos
AGG - Artigos
GGDG - Artigos

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