Generalized uncertainty principle corrections in Rastall–Rainbow Casimir wormholes

Emmanuele Battista; Salvatore Capozziello; Abdelghani Errehymy

doi:10.1140/epjc/s10052-024-13656-y

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1314
https://doi.org/10.1140/epjc/s10052-024-13656-y

Regular Article - Theoretical Physics

Generalized uncertainty principle corrections in Rastall–Rainbow Casimir wormholes

Emmanuele Battista¹^,2^,3^a, Salvatore Capozziello¹^,2^,4 and Abdelghani Errehymy⁵^,6

¹ Dipartimento di Fisica “Ettore Pancini”, Complesso Universitario di Monte S. Angelo, Università degli Studi di Napoli “Federico II”, Via Cintia Edificio 6, 80126, Naples, Italy
² Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126, Naples, Italy
³ Quantum Theory Center (ħQTC) & D-IAS, Southern Denmark University, Campusvej 55, 5230, Odense M, Denmark
⁴ Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Naples, Italy
⁵ Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
⁶ Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, 010008, Astana, Kazakhstan

^a ebattista@na.infn.it, emmanuelebattista@gmail.com

Received: 19 September 2024
Accepted: 27 November 2024
Published online: 24 December 2024

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.

© The Author(s) 2024

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