Einstein–Bumblebee-dilaton black hole solution

• Published in: The European physical journal. C, Particles and fields Vol. 83; no. 11; pp. 1035 - 9
• Main Authors: Lessa, L. A., Silva, J. E. G.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2023; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Astronomy; Astrophysics and Cosmology; Black holes; Bumblebees; Cosmological constant; Dilatons; Elementary Particles; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Spacetime; Stability analysis; String Theory; Symmetry; Thermodynamics; Violations
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-023-12201-7

We obtain new black hole solutions in a Einstein–Bumblebee-scalar theory. By starting with a Einstein–Bumblebee theory in ( D + d ) 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 ( 3 + 1 ) 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.