Thermodynamics of the RN-AdS black hole with cloud of strings and quintessence in stationary and free-fall frame in rainbow gravity

TL;DR

This paper studies how rainbow gravity influences the thermodynamics of RN-AdS black holes with cloud of strings and quintessence, revealing model-dependent effects on temperature and entropy in different frames.

Contribution

It provides a detailed analysis of black hole thermodynamics in rainbow gravity considering both stationary and free-fall frames, highlighting the model-dependent effects on temperature and entropy.

Findings

Rainbow gravity increases Hawking temperature in stationary frame.

Rainbow gravity decreases Hawking temperature in free-fall frame.

Entropy decreases in stationary frame, increases in free-fall frame.

Abstract

In this paper, we investigate the thermodynamic properties of the RN-AdS black hole with cloud of strings and quintessence in rainbow gravity with the stationary (ST) orthonormal frame and the free-fall (FF) orthonormal frame. After the SF and the FF rainbow metric is obtained, we get the Hawking temperature and the entropy, and their physical meanings are discussed. We find that, for the ST rainbow RN-AdS black hole with cloud of strings and quintessence, the effect of rainbow gravity is to increase the Hawking temperature but decrease the entropy of the black hole. However, for the FF rainbow case, rainbow gravity turns out to decrease the Hawking temperature but increase the entropy of the black hole, which seems that the effects rainbow gravity has are quite model-dependent.