https://doi.org/10.1140/epjc/s10052-023-12201-7
Regular Article - Theoretical Physics
Einstein–Bumblebee-dilaton black hole solution
Departamento de Física-Campus do Pici, Universidade Federal do Ceará (UFC), C. P. 6030, 60455-760, Fortaleza, CE, Brazil
Received:
29
August
2023
Accepted:
29
October
2023
Published online:
14
November
2023
We obtain new black hole solutions in a Einstein–Bumblebee-scalar theory. By starting with a Einstein–Bumblebee theory in (
) dimensions, the scalar dilaton field and its interaction with the gravitational and Bumblebee fields are obtained by Kaluza–Klein (KK) reduction over the extra dimensions. Considering the effects of both the Bumblebee vacuum expectation value (VEV) and the fluctuations over the VEV, we obtained new charged solutions in 
dimensions. For a vanishing dilaton, the black hole turned out to be a charged de Sitter-Reissner–Nordstrom solution, where the transverse mode is the Maxwell field and the longitudinal mode is the cosmological constant. The stability of these new solutions is investigated by means of the analysis of the black hole thermodynamics. The temperature, entropy, and heat capacity show that these modified black holes are thermodynamic stable.
© The Author(s) 2023
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