Remnants of Black Rings from Gravity's Rainbow

TL;DR

This paper studies spinning and charged black rings within gravity's rainbow, revealing significant modifications to their thermodynamics and suggesting black ring remnants form at the Planck scale due to altered Hawking radiation.

Contribution

It introduces gravity's rainbow into black ring metrics, analyzing thermodynamic corrections and demonstrating the formation of black ring remnants at the Planck scale.

Findings

Black rings' temperature, entropy, and heat capacity are significantly modified.

Hawking radiation behavior changes near the Planck scale.

Black rings do not evaporate completely, leaving remnants.

Abstract

In this paper, we investigate a spinning black ring and a charged black ring in the context of gravity's rainbow. By incorporating rainbow functions proposed by Amelino-Camelia, et al. in [arXiv:hep-th/9605211, arXiv:0806.0339v2] in the metric of the black rings, a considerable modification happens to their thermodynamical properties. We calculate corrections to the temperature, entropy and heat capacity of the black rings. These calculations demonstrate that the behavior of Hawking radiation changes considerably near the Planck scale in gravity's rainbow, where it is shown that black rings do not evaporate completely and a remnant is left as the black rings evaporate down to Planck scale.