Physically viable strange quark star models in modified teleparallel gravity. (English) Zbl 1540.83108
Summary: The aim of this paper is to develop isotropic and anisotropic quark star configurations in the context of \(f(T, \mathcal{T})\) gravity in a static spherically symmetric background. To explore the combined effects of torsion scalar \(T\) and the trace of the energy-momentum tensor (EMT) \(\mathcal{T}\) on relativistic astrophysics, we use diagonal as well as non-diagonal tetrad fields. By considering the conformal Killing vectors along with the MIT bag model, the interior solutions of the field equations corresponding to the linear \(f(T, \mathcal{T}) = \alpha T(r) + \beta\mathcal{T}(r) + \phi\) model (in which \(\alpha\), \(\beta\) are constants and \(\phi\) indicates the cosmological constant) are calculated. The feasibility of the obtained solutions is confirmed by implementing several physical tests. The model parameters are constrained subject to the existence and stability of the quark star models. We formulate the energy constraints, stability equations, mass function, compactness and redshift factor, and present a graphical analysis of all physical quantities. It is found that the derived solutions for both diagonal and non-diagonal tetrads exhibit well-behaved profiles in the framework of modified teleparallel gravity.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
| 85A15 | Galactic and stellar structure |
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