https://doi.org/10.1140/epjp/s13360-024-05395-6
Regular Article
Physically viable solutions of anisotropic hybrid stars in f(T) gravity: an embedding approach
1
School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, China
2
Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan
3
National University of Computer and Emerging Sciences, Lahore Campus, Lahore, Pakistan
4
Department of Mathematics, University of Management and Technology, Johar Town Campus, 54782, Lahore, Pakistan
d rubab.manzoor@umt.edu.pk, dr.rubab.second@gmail.com
Received:
17
January
2024
Accepted:
25
June
2024
Published online:
6
July
2024
In this study, we explore the structure of a hybrid neutron stars composed of normal and strange quark matter distribution within the realm of f(T) gravity by employing a non-diagonal tetrad. For this purpose, we consider the static spherically symmetric spacetime with anisotropic fluid distribution. We choose a specific model of metric function, to describe a new family of solutions which satisfies the Karmarkar condition. We consider the linear form of f(T) (i.e., 
) gravity model, where 
are the coupling parameters, respectively. Further, we investigate the interior solutions for two different models of compact stars namely Her X-1 and 4U 1538 52 respectively. It is determined via contour plots that the coupling parameter 
affects the hydrostatic parameters. Furthermore, we accomplish several physical tests to ensure the feasibility of the proposed model through graphical illustration. We perform different physical tests like energy density and pressure components, stability and equilibrium condition, energy constraints, adiabatic index, mass function, compactness factor and surface redshift to check the viability of f(T) gravity model. All these physical attributes indicate the consistent behavior of our model. Our investigation also suggests that f(T) theory of gravity appears as a suitable theory in describing the viability of a new classification of embedded class-I solutions of hybrid compact objects.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
