https://doi.org/10.1140/epjc/s10052-025-13818-6
Regular Article - Theoretical Physics
Black string solutions in Lifshitz spacetime
1
Departamento de Física, Universidade Federal do Ceará, 60455-760, Fortaleza, CE, Brazil
2
Universidade Federal do Cariri, Centro de Ciências e Tecnologia, 63048-080, Juazeiro do Norte, CE, Brazil
3
Department of Physics, Faculty of Science, Gazi University, 06500, Ankara, Turkey
Received:
14
June
2024
Accepted:
15
January
2025
Published online:
24
January
2025
In this paper we study black string solutions considering the Lifshitz anisotropic scaling. We have shown that a new class of asymptotically Lifshitz solutions can be generated by an Einstein–Maxwell-Dilaton theory with a cosmological constant. In the limit where we recover conformal scale invariance, we retrieve the usual black string solution. Furthermore, we demonstrated that to incorporate the effects of electric charge in the black string, at least two independent gauge fields coupled to the dilaton field are necessary. The charged black string solution exhibits new horizons that depend on the potential in Lifshitz exponent z. The stability of these new solutions is investigated through the thermodynamic analysis of the charged black string. The temperature, entropy, and heat capacity indicate that these modified black strings are thermodynamically stable.
© The Author(s) 2025
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