Unraveling the mysteries of wormhole formation in Rastall-Rainbow gravity: A comprehensive study using the embedding approach

Fuente: arXiv
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Autori principali: Errehymy, Abdelghani, Banerjee, Ayan, Donmez, Orhan, Daoud, Mohammed, Nisar, Kottakkaran Sooppy, Abdel-Aty, Abdel-Haleem
Natura: Preprint
Pubblicazione: 2024
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author Errehymy, Abdelghani
Banerjee, Ayan
Donmez, Orhan
Daoud, Mohammed
Nisar, Kottakkaran Sooppy
Abdel-Aty, Abdel-Haleem
author_facet Errehymy, Abdelghani
Banerjee, Ayan
Donmez, Orhan
Daoud, Mohammed
Nisar, Kottakkaran Sooppy
Abdel-Aty, Abdel-Haleem
contents The present work looks for the possible existence of static and spherically symmetric wormhole geometries in Rastall-Rainbow gravity. Since, the Rastall-Rainbow gravity model has been constructed with the combination of Rastall theory and the gravity's rainbow formalism. Taking advantage of the Karmarkar condition for embedding class one metrics, we solve the modified field equations analytically that describe wormholes for specific choice of redshift function. For specific parameter ranges, the solution represents a traversable wormhole that exhibits the violation of null energy condition and consequently the weak energy condition also. Furthermore, we focus on the wormhole stability via adiabatic sound velocity analysis. This model establishes a strong connection between two model parameters, namely, the Rastall parameters and the Rainbow functions, and how it affects the wormhole solution.
format Preprint
id arxiv_https___arxiv_org_abs_2406_04049
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unraveling the mysteries of wormhole formation in Rastall-Rainbow gravity: A comprehensive study using the embedding approach
Errehymy, Abdelghani
Banerjee, Ayan
Donmez, Orhan
Daoud, Mohammed
Nisar, Kottakkaran Sooppy
Abdel-Aty, Abdel-Haleem
General Relativity and Quantum Cosmology
The present work looks for the possible existence of static and spherically symmetric wormhole geometries in Rastall-Rainbow gravity. Since, the Rastall-Rainbow gravity model has been constructed with the combination of Rastall theory and the gravity's rainbow formalism. Taking advantage of the Karmarkar condition for embedding class one metrics, we solve the modified field equations analytically that describe wormholes for specific choice of redshift function. For specific parameter ranges, the solution represents a traversable wormhole that exhibits the violation of null energy condition and consequently the weak energy condition also. Furthermore, we focus on the wormhole stability via adiabatic sound velocity analysis. This model establishes a strong connection between two model parameters, namely, the Rastall parameters and the Rainbow functions, and how it affects the wormhole solution.
title Unraveling the mysteries of wormhole formation in Rastall-Rainbow gravity: A comprehensive study using the embedding approach
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2406.04049