https://doi.org/10.1140/epjp/s13360-023-04413-3
Regular Article
Spherically symmetric generating solutions in f(R) theory
1
Department of Mathematics, University of the Management and Technology, C-II, 54590, Johar Town, Lahore, Pakistan
2
Department of Mathematics, Government College Women University Faisalabad, 38000, Faisalabad, Pakistan
3
School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, China
4
Department of Mathematics, University of Management and Technology, Sialkot Campus, Sialkot, Pakistan
d adnan.malik@zjnu.edu.cn, adnan.malik@skt.umt.edu.pk
Received:
18
April
2023
Accepted:
24
August
2023
Published online:
5
September
2023
The main objective of this work, is to develop a novel general framework for generating solutions of stellar models in f(R) theory of gravity with class one metric. Such framework is not available in the vicinity of f(R) gravity. The relations of anisotropy factor, which is based on radial and tangential pressure serves as a main source of generating solutions. The linear equation of state and conformally flat condition for class one metric is used to develop a consistent system of differential equations. We conclude that it is possible to develop generating solutions for the systems in f(R) gravity.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
