https://doi.org/10.1140/epjp/s13360-025-06614-4
Regular Article
Modeling and stability analysis of dark energy ultra-compact objects in extended teleparallel gravity
1
Department of Mathematics, Bahauddin Zakariya University, Vehari Campus, 61100, Vehari, Pakistan
2
Research center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
3
Govt. Graduate College for Women, Rahim Yar Khan, Pakistan
4
School of Mathematical Sciences, Zhejiang Normal University, 321004, Jinhua, Zhejiang, China
5
Department of Mathematics and Statics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia
6
Department of Physical Sciences/ Physics Division, College of Sciences, Jazan University, P.O. Box 114, 45142, Jazan, Saudi Arabia
Received:
13
May
2025
Accepted:
2
July
2025
Published online:
22
July
2025
Recent advances in modeling compact astrophysical objects have gained the considerable attention of certain research communities to explore the mysterious properties of the complex internal structure of stellar objects. This growing scientific attention has been strengthened by integrating dark energy as an extra relativistic source in the internal structures of these compact objects. In the present study, we investigated a new class of ultra-compact dark energy stars comprising the two matter configurations (one is ordinary matter and the other is dark energy matter) in f(T) gravity. The overview of the formulation of the governing field equations is presented, and the Generalized Tolman-Kuchowicz (GTK) ansatz for 
and 
are taken as seed solutions to obtain our proposed model for a linear model of the torsion function 
. Boundary matching conditions based on some physical consequences constrained both geometric parameters and the dark energy coupling factor when applied to a class of compact star candidates using the cosmological f(T) model. The solution demonstrated physical consistency through the regularity of the metrics, the adherence to the energy conditions, and the stability criteria. Notably, the model predicts maximum masses and compactness values that exceed observational limits; for instance, surface redshifts and mass-radius profiles remain in the stability and feasibility ranges. These findings imply that the proposed framework could transcend traditional observational constraints, offering predictions beyond standard astrophysical models. Crucially, the derived solutions demonstrate physical consistency, accurately replicating the equilibrium properties of a stable, ultra-dense dark energy-dominated stellar configuration. The results advance our understanding of relativistic compact objects by elucidating how modified gravitational interactions (via extended f(T) theories) synergize with multi-fluid systems, baryonic and dark energy components, to govern spacetime geometry and stellar dynamics.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
