Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes

TL;DR

This paper investigates traversable wormholes influenced by Casimir energy and quantum gravity corrections within Rastall-Rainbow gravity, focusing on stability and exotic matter presence using an innovative stability analysis method.

Contribution

It introduces a novel stability analysis approach for wormholes and examines the effects of generalized uncertainty principle corrections in Rastall-Rainbow gravity.

Findings

Wormhole solutions are compatible with Casimir energy and quantum corrections.

The new stability method provides insights into wormhole traversability.

Exotic matter requirements are analyzed under the modified gravity framework.

Abstract

We explore wormhole solutions sourced by Casimir energy density involving generalized uncertainty principle corrections within the framework of Rastall-Rainbow gravity. The questions of traversability and stability, as well as the presence of exotic matter, are carefully investigated. In particular, the stability issue is addressed via an approach that has not been previously employed in the context of wormholes. This method, which represents an improved version of the so-called Herrera cracking technique, has the potential to yield novel insights in the field of wormhole geometries.