https://doi.org/10.1140/epjp/s13360-023-04036-8
Regular Article
Properties of black hole vortex in Einstein’s gravity
Departamento de Física - Campus do Pici, Universidade Federal do Ceará (UFC), C. P. 6030, 60455-760, Fortaleza, CE, Brazil
Received:
30
January
2023
Accepted:
27
April
2023
Published online:
21
May
2023
We investigate the influence of the matter field and the gauge field on the metric functions of the AdS
spacetime of the Maxwell–Higgs model. By considering a matter field with a solitonic profile with the ability to adjust the field variable from kink to compact-like configurations, the appearance of black hole solutions is noticed for an event horizon at 
. An interesting result is displayed when analyzing the influence of matter field compactification on the metric functions. As we obtain compact-like field configurations, the metric functions tend to a “linearized behavior.” However, the compactification of the field does not change the structure of the horizon of the magnetic black hole vortex. With the ADM formalism, the mass of the black hole vortex is calculated, and its numerical results are presented. By analyzing the so-called ADM mass, it is observed that the mass of the black hole vortex increases as the cosmological constant becomes more negative, and this coincides with the vortex core becoming smaller. Nonetheless, this mass tends to decrease as the solitonic profile of the matter field becomes more compacted. Then, the black hole temperature study is performed using the tunneling formalism. In this case, it is perceived that the cosmological constant, and the 
-parameter, will influence the Bekenstein–Hawking temperature. In other words, the temperature of the structure increases as these parameters increase.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
