Horizon Fractalization in Black Strings Ungravity

TL;DR

This paper explores how unparticle physics influences black string solutions, revealing horizon fractalization and phase transitions in thermodynamics, bridging gravity and ungravity regimes.

Contribution

It introduces new black string solutions incorporating unparticle corrections and demonstrates horizon fractalization as a natural consequence of unparticles.

Findings

Horizon fractalization observed in ungravity regime

Existence of phase transitions depending on unparticle parameter

Recovery of standard black string solutions in gravity-dominated regime

Abstract

In this paper we study the scalar(tensor) and vector unparticle corrections for cosmic and black strings. Initially we have considered an static cosmic string ansatz from which we obtain the solution in terms of first and second kind Bessel functions. We have also obtained the solution for black string in the unparticle scenario. We could 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 was also studied in both regimes and in the ungravity dominated regime. As in the static and rotating black hole, we found a fractalization of the event horizon. This points to the fact that fractalization is a natural consequence of unparticles. Finally, we study the thermodynamic 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 $d_U$, we can have phase transitions.