https://doi.org/10.1140/epjc/s10052-023-11336-x
Regular Article - Theoretical Physics
Horizon fractalization in black strings ungravity
1
Universidade Federal do Ceará, Fortaleza, Ceará, Brazil
2
Universidade Federal do Cariri, Juazeiro do Norte, Ceará, Brazil
Received:
23
November
2022
Accepted:
14
February
2023
Published online:
9
March
2023
In this paper, we study the scalar (tensor) and vector unparticle corrections for cosmic and black strings. Initially, we consider a static cosmic string ansatz from which we obtain the solution in terms of first- and second-kind Bessel functions. We also obtain the solution for a black string in the unparticle scenario. We identify two regimes, namely, a gravity-dominated regime and an ungravity-dominated regime. In the gravity-dominated regime, the black string solution recovers the usual solution for black strings. The Hawking temperature is also studied in both regimes. As in the static and rotating black hole, we find a fractalization of the event horizon. This points to the fact that fractalization is a natural consequence of unparticles. Finally, we study the thermodynamics of the black string in the ungravity scenario by computing the entropy, heat capacity, and free energy. For both cases, we find that, depending on the region of the parameter 
, phase transitions are possible.
© The Author(s) 2023
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