Remnant for all Black Objects due to Gravity's Rainbow

TL;DR

This paper demonstrates that black remnants are a universal feature of all black objects in gravity's rainbow, independent of specific models, by deriving general relations for their temperature and entropy.

Contribution

It introduces model-independent relations for the temperature and entropy of all black objects in gravity's rainbow, extending previous work on Schwarzschild black holes and black rings.

Findings

Remnants form for all black objects in gravity's rainbow.

The dependence on rainbow functions is model independent.

Explicit checks for various black hole solutions confirm the results.

Abstract

We argue that a remnant is formed for all black objects in gravity's rainbow. This will be based on the observation that a remnant depends critically on the structure of the rainbow functions, and this dependence is a model independent phenomena. We thus propose general relations for the modified temperature and entropy of all black objects in gravity's rainbow. We explicitly check this to be the case for Kerr, Kerr-Newman-dS, charged-AdS, and higher dimensional Kerr-AdS black holes. We also try to argue that a remnant should form for black Saturn in gravity's rainbow. This work extends our previous results on remnants of Schwarzschild black holes [ arXiv:1402.5320] and black rings [arXiv:1409.5745].