Traversable wormholes in Rastall-Rainbow Gravity

TL;DR

This paper explores the possibility of static, asymptotically flat wormholes in Rastall-Rainbow gravity, analyzing their stability and energy conditions to understand how modified gravity parameters influence wormhole viability.

Contribution

It introduces a combined Rastall-Rainbow gravity framework to study wormholes, revealing conditions under which such structures can exist and potentially satisfy energy conditions.

Findings

No static wormholes in zero-tidal-force scenarios with specific parameters.

Viable solutions show potential to satisfy Weak Energy Condition.

Stability analysis indicates certain parameter ranges yield stable wormholes.

Abstract

In this paper, we investigate the existence of asymptotically flat wormhole geometries within the framework of Rastall-Rainbow modified gravity, a synthesis of two distinct theoretical models: Rastall theory and the Rainbow description. Our study uncovers that, when considering specific combinations of free parameters and equations of state, the emergence of static and spherically symmetric wormholes is not feasible within a zero-tidal-force context. By considering the subset of viable solutions, we conduct a rigorous assessment of their stability through adiabatic sound velocity analysis and scrutinize their compliance with the Weak Energy Condition (WEC). In summary, our inquiry provides insights into how the interplay between Rastall parameters and Rainbow functions may alleviate violations of energy conditions in these modified gravity scenarios.