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Spinning boson stars and hairy black holes with nonminimal coupling

Carlos A. R. Herdeiro

http://orcid.org/0000-0002-9619-2013

Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183, Aveiro, Portugal

E-mail Address: [email protected]

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and

Eugen Radu

Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183, Aveiro, Portugal

E-mail Address: [email protected]

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https://doi.org/10.1142/S0218271818430095Cited by:5

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Abstract

We obtain spinning boson star solutions and hairy black holes with synchronized hair in the Einstein–Klein–Gordon model, wherein the scalar field is massive, complex and with a nonminimal coupling to the Ricci scalar. The existence of these hairy black holes in this model provides yet another manifestation of the universality of the synchronization mechanism to endow spinning black holes with hair. We study the variation of the physical properties of the boson stars and hairy black holes with the coupling parameter between the scalar field and the curvature, showing that they are, qualitatively, identical to those in the minimally coupled case. By discussing the conformal transformation to the Einstein frame, we argue that the solutions herein provide new rotating boson star and hairy black hole solutions in the minimally coupled theory, with a particular potential, and that no spherically symmetric hairy black hole solutions exist in the nonminimally coupled theory, under a condition of conformal regularity.

Keywords:

PACS: 04.20.−q, 04.20.Jb, 04.70.−s

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Published: 23 April 2018

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History

Received 27 February 2018

Revised 19 March 2018

Accepted 20 March 2018
Keywords
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Spinning boson stars and hairy black holes with nonminimal coupling

Abstract

References

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