Research ArticleNo Access

Embedding procedure and wormhole solutions in Rastall gravity utilizing the class I approach

Adnan Malik

https://orcid.org/0000-0002-6034-0117

School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, China

Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan

E-mail Address: adnanmalik_chheena@yahoo.com

E-mail Address: adnan.malik@skt.umt.edu.pk

E-mail Address: adnan.malik@zjnu.edu.cn

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Asifa Ashraf

School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, Nanjing 210023, P. R. China

E-mail Address: asifa.ashraf70@yahoo.com

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Fatima Mofarreh

Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia

E-mail Address: fyalmofarrah@pnu.edu.sa

Corresponding author.

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Akram Ali

Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia

E-mail Address: akali@kku.edu.sa

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, and

Muhammad Shoaib

Department of Mathematics, University of Management and Technology, Sialkot Campus, 51040 Lahore, Pakistan

E-mail Address: professorshoaib@gmail.com

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https://doi.org/10.1142/S0219887823501451Cited by:14 (Source: Crossref)

Abstract

This paper investigates the wormhole solutions in Rastall theory of gravity using the Karmarkar conditions. For this purpose, we choose a shape function (SF) that connects two asymptotically flat regions. We also discuss the wormhole configuration by plotting three-dimensional (3D) analysis of the embedding diagram in Euclidean space. Furthermore, we also observe the detailed graphical representation of energy conditions using the considered SF. The violation of energy conditions, especially null energy conditions (NEC), indicates the existence of exotic matter and wormholes. Hence, it can be concluded that our calculated results in the background of Rastall theory of gravity are viable and stable. The exciting feature of this work is the 3D analysis to discuss the viability of wormhole geometry

Keywords:

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