https://doi.org/10.1140/epjp/s13360-023-04721-8
Regular Article
Anisotropic spheres via embedding approach in 
gravity
1
School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, China
2
Department of Mathematics, University of Management and Technology, Sialkot Campus, Sialkot, Pakistan
3
National University of Computer and Emerging Sciences, Lahore Campus, Lahore, Pakistan
Received:
22
March
2023
Accepted:
20
November
2023
Published online:
7
December
2023
In this manuscript, we investigate the behavior of stellar structure through embedding approach in 
modified theory of gravity, where R denotes the Ricci scalar, 
represents the scalar potential, and X indicates the kinetic potential. For this purpose, we consider the spherically symmetric space-time with anisotropic fluid. We further choose three different stars, i.e., LMC X-4, Cen X-3, and EXO 1785-248 to demonstrate the behavior of stellar structures. We further compare the Schwarzschild space-time as exterior geometry with spherically symmetric space-time to calculate the values of unknown parameters. In this regard, we investigate the graphical features of stellar spheres such as energy density, pressure components, anisotropic component, equation of state parameters, stability analysis and energy conditions. Furthermore, we investigate some extra conditions such as mass function, compactness factor and surface redshift, respectively. The observed behavior of these attributes aligns with accepted physical properties, and the emerging outcomes fall within the observed range. We find that the embedding class one solution for anisotropic compact stars is viable and stable.
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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.
