Non-Commutative Effects on Wormholes in Rastall-Rainbow Gravity

TL;DR

This paper investigates static wormholes within Rastall-Rainbow gravity, analyzing how noncommutative geometry influences their physical properties and energy conditions, with potential to reduce violations of the weak energy condition.

Contribution

It introduces a novel analysis of wormholes in Rastall-Rainbow gravity incorporating noncommutative effects via Gaussian and Lorentzian distributions.

Findings

Noncommutative effects can alleviate WEC violations at the wormhole throat.

Analytical solutions are obtained for different model parameters.

The properties of wormholes depend critically on the noncommutative distributions.

Abstract

In this present article, we explore the physical properties and characteristics of static, spherically symmetric wormholes in the background of Rastall-Rainbow gravity. The Rastall-Rainbow gravity theory has recently been proposed as a combination of two theories, namely, the Rastall theory and the Rainbow description. We implemented noncommutativity by adopting two different distributions of energy density (Gaussian and Lorentzian) in the Morris and Thorne metric. We solve the field equations analytically and discuss all the properties of wormholes depending on the two model parameters. Notably, for specific parameter ranges, one can alleviate the violation of the WEC at the throat and its neighbourhood.