\begin{document}$ f({\cal{T}}) $\end{document} gravity theory. By adopting the Buchdahl ansatz and the quadratic polytropic equation of state (EOS), we derived deformed SS models by assuming that the energy-momentum components of the deformed fluid satisfy \begin{document}$ \rho=\Theta_0^0 $\end{document} and \begin{document}$ p_r=\Theta_1^1 $\end{document}. This approach leads to different classes of exact solutions. The study of physical viability tests ensures that the proposed configurations adhere to realistic constraints. Furthermore, we analyzed the impact of relevant parameters in three scenarios: GR, \begin{document}$ f({\cal{T}}) $\end{document}, and \begin{document}$ f({\cal{T}})+MGD $\end{document}. In addition, observational constraints were used for comparison with GW190814 and neutron stars (NSTRs) PSR J1614-2230 and PSR J1903 + 327, with mass ranges of \begin{document}$ 2.5-2.67 M_\odot $\end{document}, \begin{document}$ 1.97 \pm 0.04 M_\odot $\end{document}, and \begin{document}$ 1.667 \pm 0.021 M_\odot $\end{document}, respectively. Remarkably, we observed from the \begin{document}$ M-R $\end{document} curves that NSTRs with masses ranging from \begin{document}$ 2.4 $\end{document} to \begin{document}$ 3.5M_{\odot} $\end{document} correspond to a range of radii from \begin{document}$ 9.80^{+0.02}_{-0.01} $\end{document} to \begin{document}$ 13.01^{+0.01}_{-0.01}\;{\rm km} $\end{document} for different values of the parameters α, β, γ, and \begin{document}$ \zeta_1 $\end{document}. Notably, for the \begin{document}$ \rho=\Theta_0^0 $\end{document} solution, higher values of α produce NSTRs with smaller masses and radii, while the \begin{document}$ p_r=\Theta_1^1 $\end{document} solution yields larger masses and radii. This evidences the existence of massive NSTRs within the modified gravity theory \begin{document}$ f({\cal{T}}) $\end{document}."> Gravitationally deformed polytropic models in extended teleparallel gravity and influence of decoupling parameters on constraining mass-radius relation -
  • [1]

    Y. Akramiet al.,Modified Gravity and Cosmology: An Update by the CANTATA Network, (New York: Springer, 2021)

  • [2]

    K. S. Stelle, Phys. Rev. D16, 953 (1977)

  • [3]

    A. Addazi, J. Alvarez-Muniz, R. Alves Batistaet al., Prog. Part. Nucl. Phys.125, 103948 (2022)

  • [4]

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

  • [5]

    T. Shirafuji and G. G. L. Nashed, Prog. Theor. Phys.98, 1355 (1997)

  • [6]

    J. W. Maluf, Annalen Phys.525, 339 (2013)

  • [7]

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

  • [8]

    E. V. Linder, Phys. Rev. D82, 109902 (2010)

  • [9]

    Y. F. Cai, S. Capozziello, M. De Laurentiset al., Rept. Prog. Phys.79(10), 106901 (2016)

  • [10]

    G. Kofinas and E. N. Saridakis, Phys. Rev. D90, 084044 (2014)

  • [11]

    S. Bahamonde, C. G. Böhmer, and M. Wright, Phys. Rev. D92(10), 104042 (2015)

  • [12]

    C. G. Boehmer and E. Jensko, Phys. Rev. D104(2), 024010 (2021)

  • [13]

    C. Q. Geng, C. C. Lee, E. N. Saridakiset al., Phys. Lett. B704, 384 (2011)

  • [14]

    M. Hohmann, L. Järv, and U. Ualikhanova, Phys. Rev. D97(10), 104011 (2018)

  • [15]

    S. Bahamonde, K. F. Dialektopoulos, and J. Levi Said, Phys. Rev. D100(6), 064018 (2019)

  • [16]

    E. N. Saridakiset al.(CANTATA Collaboration),Modified Gravity and Cosmology, (Springer, 2021)

  • [17]

    C. G. Boehmer and E. Jensko, J. Math. Phys.64(8), 082505 (2023)

  • [18]

    T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys.82, 451 (2010)

  • [19]

    S. Capozziello, Int. J. Mod. Phys. D11, 483 (2002)

  • [20]

    G. J. Olmo, Int. J. Mod. Phys. D20, 413 (2011)

  • [21]

    T. Harko, T. S. Koivisto, F. S. N. Loboet al., Phys. Rev. D85, 084016 (2012)

  • [22]

    J. L. Rosa, S. Carloni, and J. P. S. Lemos, Phys. Rev. D101(10), 104056 (2020)

  • [23]

    T. Harko, F. S. N. Lobo, S. Nojiriet al., Phys. Rev. D84, 024020 (2011)

  • [24]

    N. J. Poplawski, arXiv: gr-qc/0608031 [gr-qc]

  • [25]

    T. Harko and F. S. N. Lobo,Extensions of f(R) Gravity, (England: Cambridge University Press, 2018)

  • [26]

    M. Jamil, D. Momeni, M. Razaet al., Eur. Phys. J. C72, 1999 (2012)

  • [27]

    M. J. S. Houndjo and O. F. Piattella, Int. J. Mod. Phys. D21, 1250024 (2012)

  • [28]

    M. J. S. Houndjo, Int. J. Mod. Phys. D21, 1250003 (2012)

  • [29]

    F. G. Alvarenga, A. de la Cruz-Dombriz, M. J. S. Houndjoet al., Phys. Rev. D87(10), 103526 (2013)

  • [30]

    H. Shabani and M. Farhoudi, Phys. Rev. D88, 044048 (2013)

  • [31]

    H. Shabani and M. Farhoudi, Phys. Rev. D90(4), 044031 (2014)

  • [32]

    P. H. R. S. Moraes, Eur. Phys. J. C75(4), 168 (2015)

  • [33]

    J. L. Rosa, M. A. Marques, D. Bazeiaet al., Eur. Phys. J. C81(11), 981 (2021)

  • [34]

    S. D. Odintsov and D. Sáez-Gómez, Phys. Lett. B725, 437 (2013)

  • [35]

    Z. Haghani, T. Harko, F. S. N. Loboet al., Phys. Rev. D88(4), 044023 (2013)

  • [36]

    R. Zaregonbadi, M. Farhoudi, and N. Riazi, Phys. Rev. D94, 084052 (2016)

  • [37]

    P. H. R. S. Moraes and P. K. Sahoo, Phys. Rev. D96(4), 044038 (2017)

  • [38]

    S. K. Maurya, A. Errehymy, D. Debet al., Phys. Rev. D100(4), 044014 (2019)

  • [39]

    S. K. Maurya, A. Errehymy, K. N. Singhet al., Phys. Dark Univ.30, 100640 (2020)

  • [40]

    A. Errehymy, Y. Khedif, G. Mustafaet al., Chin. J. Phys.77, 1502 (2022)

  • [41]

    A. Errehymy, S. K. Maurya, G. E. Vîlcuet al., Astropart. Phys.160, 102972 (2024)

  • [42]

    S. Hansraj and A. Errehymy, Phys. Dark Univ.46, 101632 (2024)

  • [43]

    M. Zubair, G. Mustafa, Saira Waheedet al., Eur. Phys. J. C77, 680 (2017)

  • [44]

    G. Mustafa, M. Zubair, Saira Waheed3et al., Eur. Phys. J. C80, 26 (2020)

  • [45]

    G. Mustafa, Xia Tie-Cheng, and M. Farasat Shamir, Annals Phys.413, 168059 (2020)

  • [46]

    G. Mustafa, M. F. Shamir, and X. Tie-Cheng, Phys. Rev. D101, 104013 (2020)

  • [47]

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

  • [48]

    G. Mustafa, M. Farasat Shamir, and Mushtaq Ahmad, Phys. Dark Univ.30, 100652 (2020)

  • [49]

    R. J. Yang, Eur. Phys. J. C71, 1797 (2011)

  • [50]

    R. Myrzakulov, Eur. Phys. J. C71, 1752 (2011)

  • [51]

    A. Awad, W. El Hanafy, G. G. L. Nashedet al., JCAP02, 052 (2018)

  • [52]

    A. Awad, W. El Hanafy, G. G. L. Nashedet al., JCAP07, 026 (2018)

  • [53]

    S. Bahamonde, C. G. Böhmer, S. Carloniet al., Phys. Rept.775-777, 1 (2018)

  • [54]

    S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, Phys. Rept.692, 1 (2017)

  • [55]

    R. C. Nunes, JCAP05, 052 (2018)

  • [56]

    L. Iorio, N. Radicella, and M. L. Ruggiero, JCAP08, 021 (2015)

  • [57]

    J. Z. Qi, S. Cao, M. Biesiadaet al., Eur. Phys. J. C77(8), 502 (2017)

  • [58]

    C. G. Boehmer, A. Mussa, and N. Tamanini, Class. Quant. Grav.28, 245020 (2011)

  • [59]

    A. De Benedictis and S. Ilijić, Phys. Rev. D98(6), 064056 (2018)

  • [60]

    V. C. de Andrade, L. C. T. Guillen, and J. G. Pereira, Phys. Rev. Lett.84, 4533 (2000)

  • [61]

    R. Ferraro and M. J. Guzmán, Phys. Rev. D97(10), 104028 (2018)

  • [62]

    B. Li, T. P. Sotiriou, and J. D. Barrow, Phys. Rev. D83, 064035 (2011)

  • [63]

    T. P. Sotiriou, B. Li, and J. D. Barrow, Phys. Rev. D83, 104030 (2011)

  • [64]

    M. Li, R. X. Miao, and Y. G. Miao, JHEP07, 108 (2011)

  • [65]

    C. Bejarano, R. Ferraro, and M. J. Guzmán, Eur. Phys. J. C75, 77 (2015)

  • [66]

    M. Blagojevic and M. Vasilic, Class. Quant. Grav.17, 3785 (2000)

  • [67]

    Y. C. Ong and J. M. Nester, Eur. Phys. J. C78(7), 568 (2018)

  • [68]

    M. Krššák and E. N. Saridakis, Class. Quant. Grav.33(11), 115009 (2016)

  • [69]

    A. D. Rendall and B. G. Schmidt, Class. Quant. Grav.8, 985 (1991)

  • [70]

    T. W. Baumgarte and A. D. Rendall, Class. Quant. Grav.10, 327 (1993)

  • [71]

    H. A. Buchdahl, Phys. Rev.116, 1027 (1959)

  • [72]

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

  • [73]

    B. K. Harrison, M. Thorne, K. S. Wakanoet al., Gravitation Theory and Gravitational Collapse, (Chicago: University of Chicago Press, 1965)

  • [74]

    S. Ilijic and M. Sossich, Phys. Rev. D98(6), 064047 (2018)

  • [75]

    S. Ilijić and M. Sossich, Phys. Rev. D102(8), 084019 (2020)

  • [76]

    J. Ovalle, Phys. Rev. D95, 104019 (2017)

  • [77]

    S. Maurya, K. N. Singh, M. Govenderet al., Astrophys. J.925(2), 208 (2022)

  • [78]

    J. Ovalle, Phys. Lett. B788, 213 (2019)

  • [79]

    S. K. Maurya, F. Tello-Ortiz, and M. Govender, Fortsch. Phys.69(10), 2100099 (2021)

  • [80]

    M. Estrada, Eur. Phys. J. C79, 918 (2019)

  • [81]

    R. Casadio, E. Contreras, J. Ovalleet al., Eur. Phys. J. C79, 826 (2019)

  • [82]

    J. Ovalle, R. Casadio, R. d. Rochaet al., Eur. Phys. J. C78, 960 (2018)

  • [83]

    E. Contreras and Z. Stuchlik, Eur. Phys. J. C82, 706 (2022)

  • [84]

    J. Ovalle, C. Posada, and Z. Stuchlík, Class. Quant. Grav.36(20), 205010 (2019)

  • [85]

    E. Contreras and E. Fuenmayor, Phys. Rev. D103(12), 124065 (2021)

  • [86]

    E. Contreras and P. Bargueño, Class. Quant. Grav.36(21), 215009 (2019)

  • [87]

    V. Torres-Sánchez and E. Contreras, Eur. Phys. J. C79, 829 (2019)

  • [88]

    R. da Rocha, Eur. Phys. J. C82(1), 34 (2022)

  • [89]

    J. Ovalle, E. Contreras and Z. Stuchlik, Eur. Phys. J. C82(3), 211 (2022)

  • [90]

    H. W. Turnbull, Math. Gaz.12(170), 122 (1924)

  • [91]

    J. A. Schouten,Ricci-calculus: an introduction to tensor analysis and its geometrical applications, (New York: Springer, 2013)

  • [92]

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

  • [93]

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

  • [94]

    J. R. Oppenheimer and G. M. Volkoff, Phys. Rev.55(4), 374 (1939)

  • [95]

    J. Ovalle, R. Casadio, R. da Rochaet al., Eur. Phys. J. C78(2), 122 (2018)

  • [96]

    E. Farhi and R. L. Jaffe, Phys. Rev. D30, 2379 (1984)

  • [97]

    A. K. Prasad and J. Kumar, Astrophys. Space Sci.366, 26 (2021)

  • [98]

    P.C.Vaidya and R. Tikekar, J. Astrophys. Astr3, 325 (1982)

  • [99]

    M. C. Durgapal and R. Bannerji, Phys. Rev. D27, 328 (1983)

  • [100]

    J. Kumar and Y. K. Gupta, Astrophys. Space Sci.299, 43 (2005)

  • [101]

    M. D. Mkenyeleye, R. Goswami, and S. D. Maharaj, Phys. Rev. D90, 064034 (2014)

  • [102]

    Y. K. Gupta and M. K. Jasim, Astrophys. Space Sci.272, 403 (2000)

  • [103]

    G. Darmois,Les équations de la gravitation einsteinienne, (Paris: Gauthier-Villars, 1927)

  • [104]

    W. Israel, Nuovo Cim. B48, 463 (1967)

  • [105]

    J. M. Lattimer, Ann. Rev. Nucl. Part. Sci.62, 485 (2012)

  • [106]

    F. Ozel, D. Psaltis, R. Narayanet al., Astrophys. J.757, 55 (2012)

  • [107]

    M. Fortin, J. L. Zdunik, P. Haenselet al., Astron. Astrophys.576, A68 (2015)

  • [108]

    F. Özel and P. Freire, Ann. Rev. Astron. Astrophys.54, 401 (2016)

  • [109]

    B. P. Abbottet al., Phys. Rev. Lett.121(16), 161101 (2018)

  • [110]

    M. C. Milleret al., Astrophys. J. Lett.887, 1 (2019)

  • [111]

    T. E. Riley, A. L. Watts, P. S. Rayet al., Astrophys. J. Lett.918, L27 (2021)

  • [112]

    A. V. Astashenok, S. Capozziello, S. D. Odintsovet al., Phys. Lett. B816, 136222 (2021)

  • [113]

    A. V. Astashenok, S. Capozziello, S. D. Odintsovet al., Phys. Lett. B811, 135910 (2020)

  • [114]

    S. D. Odintsov and V. K. Oikonomou, Phys. Rev. D107(10), 104039 (2023)

  • [115]

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

  • [116]

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

  • [117]

    M. Merafina and R. Ruffini, Astron. Astrophys.221, 4 (1989)

  • [118]

    H. Heintzmann and W. Hillebrandt, Phys. Lett. A54, 349 (1975)

  • [119]

    C. C. Moustakidis, Gen. Rel. Grav.49, 1 (2017)

  • [120]

    B. K. Harrison, K. S. Thorne, M. Wakanoet al., Gravitation Theory and Gravitational Collapse, (Chicago: University of Chicago Press, 1965)

  • [121]

    Y. B. Zeldovich and I. D. Novikov,Relativistic astrophysics. Vol.1: Stars and relativity, (Chicago: University of Chicago Press, 1971)

Baidu
map