https://doi.org/10.1140/epjc/s10052-023-11504-z
Regular Article - Theoretical Physics
Structural properties of anisotropic stars in modified teleparallel gravity: a brief study via an embedding approach
1
School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, 210023, Nanjing, People’s Republic of China
2
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
3
Laboratory of High Energy Physics and Condensed Matter, Department of Physics, Faculty of Sciences Aïn Chock, Hassan II University of Casablanca, B.P. 5366, 20100, Maarif, Casablanca, Morocco
4
Department of Mathematics, Shanghai University, 200444, Shanghai, People’s Republic of China
5
Department of Physics, Faculty of Sciences, Ibn Tofail University, P.O. Box 133, 14000, Kenitra, Morocco
6
Abdus Salam International Centre for Theoretical Physics, Miramare, 34151, Trieste, Italy
b
abdelghani.errehymy@gmail.com
Received:
14
December
2022
Accepted:
11
April
2023
Published online:
21
April
2023
In this paper, we attempt to construct the anisotropic solution for compact stellar configurations using the observed mass and radius of compact stars from the literature under the influence of Rastall Teleparallel gravity. To investigate the crucial elements of spherically symmetric metric space, we employed the embedding class one spacetime paradigm with Karmarkar’s condition. The field equations have been computed under the gravitational action of Rastall Teleparallel gravity. However, the unknown constants were evaluated via junction conditions using the Schwarzschild metric as the outer geometry. The compact stars analysis’s crucial physical and mathematical requirements are all admitted and shared by the model, which is physically viable and supports the emergence of novel realistic stellar configurations in Rastall Teleparallel gravity. We fix the parameters of our model to compare with three compact stars (LMC X-4, Cen X-3, and EXO 1785-248) and find that it can be regular, robust, and stable.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
