\begin{document}$f(T,{\cal{T}})$\end{document} gravity (where T and \begin{document}${\cal{T}}$\end{document} represent the torsion and trace of the energy momentum tensor, respectively). \begin{document}$f(T,{\cal{T}})$\end{document} gravity is an extension of the \begin{document}$f(T)$\end{document} theory, and it allows a general non-minimal coupling between T and \begin{document}${\cal{T}}$\end{document}. In this setup, we apply Krori and Barua's solution to the static spacetime with the components \begin{document}$\xi=B r^2+c$\end{document} and \begin{document}$\Psi=A r^2$\end{document}. To develop viable solutions, we select a well-known model \begin{document}$f(T,{\cal{T}})= \alpha T^m+\beta {\cal{T}}+\phi$\end{document} (where α and β are coupling parameters, and ϕ indicates the cosmological constant). We adopt the conventional matching of interior and exterior space time to evaluate the unknowns, which are employed in the stellar configuration. We present a comprehensive discussion on the stellar properties to elaborate the anisotropic nature of compact stars corresponding to well-known models: \begin{document}$PSR J1416-2230$\end{document}, \begin{document}$4U 1608-52$\end{document}, \begin{document}$Cen X-3$\end{document}, \begin{document}$EXO 1785-248$\end{document} , and \begin{document}$SMC X-1$\end{document}. Via physical analysis, it is observed that the solution of compact spheres satisfy the acceptability criteria, and its models behave optimally and depict stability and consistency, in accordance with \begin{document}$f(T,{\cal{T}})$\end{document} gravity."> Physical aspects of anisotropic compact stars in <inline-formula><tex-math id="M1">\begin{document}$ { {f(T,{\cal{T}})}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/cfbae5c3-b240-4c7d-bf82-f4e7bebe2198/CPC-2020-0623_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/cfbae5c3-b240-4c7d-bf82-f4e7bebe2198/CPC-2020-0623_M1.png"/></alternatives></inline-formula> gravity with off diagonal tetrad -
  • [1]

    N. Aghanimet al., Astronomy and Astrophysics641, A6 (2020)

  • [2]

    E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D15, 1753 (2006)

  • [3]

    Y.-F. Caiet al., Phys. Rept.493, 1 (2010)

  • [4]

    S. Capozziello and M. De Laurentis, Phys. Rept.509, 167 (2011)

  • [5]

    A. De Felice and S. Tsujikawa, Living Rev. Rel.13, 3 (2010)

  • [6]

    S. Nojiri and S. D. Odintsov, Phys. Rept.505, 59 (2011)

  • [7]

    M. Zubair and F. Kousar, Eur. Phys. J. C76, 254 (2016)

  • [8]

    M. Zubair, F. Kousar, and S. Bahamonde, Phys. Dark Universe14, 116-125 (2016)

  • [9]

    V. Sahni and A. Starobinsky, Int. J. Mod. Phys. D15, 2015 (2006)

  • [10]

    K. Hayashi and T. Shirafuji, Phys. Rev. D19, 3524 (1979)

  • [11]

    H. I. Arcos and J. G. Pereira, Int. J. Mod. Phys. D13, 2193 (2004)

  • [12]

    J. W. Maluf, Ann. Phys.525, 339-357 (2013)

  • [13]

    R. Ferraro and F. Fiorini, Phys. Rev. D75, 084031 (2007)

  • [14]

    G. R. Bengochea and R. Ferraro, Phys. Rev. D79, 124019 (2009)

  • [15]

    E. V. Linder, Phys. Rev. D81, 127301 (2010)

  • [16]

    S. Bahamonde, M. Zubair, and G. Abbas, Phys. Dark Univ.19, 78-90 (2018)

  • [17]

    M. Zubairet al., Eur. Phys. J. Plus133, 452 (2018)

  • [18]

    M. Zubair, S. Bahamonde, and M. Jamil, Eur. Phys. J. C77, 472 (2017)

  • [19]

    G. Farrugia, J. L. Said, and A. Finch, Universe6, 34 (2020)

  • [20]

    M. Zubair and Lala Rukh Durrani, Eur. Phys. J. Plus135, 668 (2020)

  • [21]

    S. Bahamonde, J. L. Said, and M. Zubair, Journal of Cosmology and Astroparticle Physics2020, (2020)

  • [22]

    T. Harko, F. S. N. Lobo, G. Otaloraet al., J. Cosmol. Astropart. Phys.12, 021 (2014)

  • [23]

    T. Harkoet al., Phys. Rev. D84, 024020 (2011)

  • [24]

    M. Zubair and Hina Azmat, Phys. Dark Universe28, 100531 (2020)

  • [25]

    M. Zubair and Hina Azmat, Int. J. Mod. Phys.29, 2050014 (2020)

  • [26]

    E. L. B. Junior, M. E. Rodrigues, I. G. Salakoet al., Class. Quantum Grav.33, 125006 (2016)

  • [27]

    D. Sez-Gmezet al., Phys. Rev. D94, 024034 (2016)

  • [28]

    F. Kiani and K. Nozari, Phys. Letter. B728, 554561 (2014)

  • [29]

    G. Farrugia and J. L. Said, Phys. Rev. D94, 124004 (2016)

  • [30]

    D. Momeni and R. Myrzakulov, Int. J. Geom. Meth. Mod. Phys.11, 1450077 (2014)

  • [31]

    K. Schwarzschild, Sitz. Deut. Akad. Wiss. Berlin, Kl. Math. Phys.424, (1916)

  • [32]

    J. R. Oppenheimer and H. Snyder, Phys. Rev.56, 455 (1939)

  • [33]

    R. L. Bowers and E. P. T. Liang, Astrophys. J.188, 657 (1974)

  • [34]

    J. D. Bekenstein, Phys. Rev. D.4, 2185 (1971)

  • [35]

    S. D. Maharaj and R. Maartens, Gen. Relativ. Gravit.21, 899 (1989)

  • [36]

    R. Tikekar and K. Jotania, Int. J. Mod. Phys. D.14, 1037 (2005)

  • [37]

    M. Esculpiet al., Gen. Relativ. Gravit.39, 633 (2007)

  • [38]

    M. Farasat Shamir and Tayyaba Naz, Phys. Dark Universe27, 100472 (2020)

  • [39]

    M. Zubair and G. Abbas, Astrophys. Space Sci.361, 342 (2016)

  • [40]

    S. K. Mauryaet al., Phys. Rev. D100, 044014 (2019)

  • [41]

    G. Mustafaet al., Eur. Phys. J. C80, 26 (2020)

  • [42]

    S. Waheed, G. Mustafa, M. Zubairet al., Symmetry12, 962 (2020)

  • [43]

    M. Rahaman, Ksh. N. Singh, A. Errehymyet al., Eur. Phys. J. C80, 272 (2020)

  • [44]

    M. Zubair and G. Abbas, Astrophys. Space Sci.361, 8 (2016)

  • [45]

    R. Saleem, F. Kramat, and M. Zubair, Physics of the Dark Universe30, 100592 (2020)

  • [46]

    F. Rahaman, R. Sharma, S. Rayet al., Eur. Phys. J. C72, 2071 (2012)

  • [47]

    K. D. Krori and J. Barua, J. Phys. A, Math. Gen.8, 508 (1975)

  • [48]

    M. R. Shahzad and G. Abbas, Eur. Phys. J. Plus135, 502 (2020)

  • [49]

    M. Sharif and A. Majid, Phys. Dark Universe30, 100610 (2020)

  • [50]

    S. Biswas, S. Ghosh, S. Rayet al., Annals of Physics401, 20 (2019)

  • [51]

    Z. Roupas and G. G. L Nashed, Eur. Phys. J. C80, 905 (2020)

  • [52]

    I. G. Salako, M. Khlopov, Saibal Rayet al., Universe6, 167 (2020)

  • [53]

    A. Ashraf, Z. Zhang, A. Dittaet al., Annals of Physics422, 168322 (2020)

  • [54]

    L. Iorio and E. N. Saridakis, Mon. Not. R. Astron. Soc.427, 1555 (2012)

  • [55]

    Y. Xie and X.M. Deng, Mon. Not. R. Astron. Soc.433, 3584 (2013)

  • [56]

    J. W. Maluf, F. F. Faria, and S. C. Ulhoa, Class. Quantum Grav.24, 2743-2753 (2007)

  • [57]

    N. Tamanini and C. G. Boehmer, Phys. Rev. D86, 044009 (2012)

  • [58]

    S. Behar and M. Carmeli, Intern. J. Theor. Phys.39, 1375 (2000)

  • [59]

    M. Carmeli and T. Kuzmenko, arXiv: astro-ph/0102033 (2001)

  • [60]

    M. Pace and Jackson Levi Said, Eur. Phys. J. C77, 62 (2017)

  • [61]

    M. K. Gokhroo and A. L. Mehra, Gen. Rel. Grav.26, 75 (1994)

  • [62]

    J. Ponce de Leon, Gen. Relat. Gravit.25, 1123 (1993)

  • [63]

    M. Visser Lorentzian Wormholes (Springer, Berlin, 1996), p. 115

  • [64]

    R. C. Tolman, Phys. Rev.55, 364 (1939)

  • [65]

    J. R. Oppenheimer and G. M. Volkoff, Phys. Rev.55, 374 (1939)

  • [66]

    L. Herrera, Phys. Lett. A165, 206 (1992)

  • [67]

    H. Abreu, H. Hernandez, and L. A. Nunez, Calss. Quantum. Grav.24, 4631 (2007)

  • [68]

    H. A. Buchdahl, Phys. Rev. D116, 1027 (1959)

  • [69]

    H. Andreasson, J. Diff. Eq.245, 2243 (2008)

  • [70]

    S. Chandrasekhar, Astrophys. J.140, 417 (1964)

  • [71]

    S. Chandrasekhar, Phys. Rev. Lett.12, 114 (1964)

  • [72]

    D. D. Doneva and S. S. Yazadjiev, Phys. Rev. D85, 124023 (2012)

  • [73]

    W. Hillebrandt and K. O. Steinmetz, Astron. Astrophys.53, 283 (1976)

  • [74]

    D. Horvat, S. Ilijic, and A. Marunovic, Class. Quantum Grav.28, 025009 (2011)

  • [75]

    H. O. Silva, C. F. B. Macedo, E. Bertiet al., Class. Quantum Grav.32, 145008 (2015)

  • [76]

    H. Heintzmann and W. Hillebrandt, Astron. Astrophys.24, 51 (1975)

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