• [1]

    J. B. Jimenez, L. Heisenberg, and T. S. Koivisto, Phys. Rev. D 98, 044048 (2018)

  • [2]

    J. B. Jimenez, L. Heisenberg, and T. S. Koivisto, Universe 5, 173 (2019)

  • [3]

    S. Capozziello, V. De Falco, and C. Ferrara, Eur. Phys. J. C 82, 865 (2022)

  • [4]

    S. Capozziello, V. De Falco, and C. Ferrara, Eur. Phys. J. C 83, 915 (2023)

  • [5]

    S. Bahamonde et al., Rep. Prog. Phys. 86, 026901 (2023)

  • [6]

    L. Heisenberg, Phys. Rept. 1066, 1 (2024)

  • [7]

    R. Aldrovandi and J. G. Pereira, Teleparallel Gravity: An Introduction, (Springer, 2013)

  • [8]

    J. B. Jimenez, L. Heisenberg, and T. S. Koivisto, Int. J. Mod. Phys. D 28, 1944012 (2019)

  • [9]

    L. Heisenberg, S. Kuhn, and L. Walleghem, Class. Quant. Grav. 39, 235002 (2022)

  • [10]

    D. Lovelock, J. Math. Phys. 12, 498 (1971)

  • [11]

    D. Lovelock, J. Math. Phys. 13, 874 (1972)

  • [12]

    B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 116, 061102 (2016)

  • [13]

    B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 116, 241103 (2016)

  • [14]

    B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 118, 221101 (2017)

  • [15]

    B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 119, 141101 (2017)

  • [16]

    B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 119, 161101 (2017)

  • [17]

    J. Aasi et al. (LIGO Scientific Collaboration), Class. Quant. Grav. 32, 074001 (2015)

  • [18]

    F. Acernese et al. (Virgo Collaboration), Class. Quant. Grav. 32, 024001 (2015)

  • [19]

    T. Akutsu et al. (KAGRA Collaboration), PTEP 2018, 013F01 (2018)

  • [20]

    M. Punturo et al., Class. Quant. Grav. 27, 194002 (2010)

  • [21]

    D. Reitze et al., Bull. Am. Astron. Soc. 51, 035 (2019), arXiv: 1907.04833 [astro-ph.IM]

  • [22]

    P. Amaro-Seoane et al. (LISA Team), (2017), arXiv: 1702.00786

  • [23]

    Z. Luo, Y. Wang, Y. Wu et al., PTEP 2021, 05A108 (2021)

  • [24]

    J. Luo et al., Living Rev. Rel. 29, 1 (2026)

  • [25]

    L. J. Shao, Sci. China Phys. Mech. Astron. 66, 119531 (2023)

  • [26]

    H. B. Jin and C. F. Qiao, Sci. China Phys. Mech. Astron. 68, 220414 (2025)

  • [27]

    Y. Y. Wang and Z. J. Cao, Sci. China Phys. Mech. Astron. 68, 220432 (2025)

  • [28]

    D. M. Eardley, D. L. Lee, and A. P. Lightman, Phys. Rev. D 8, 3308 (1973)

  • [29]

    Y. Q. Dong, X. B. Lai, Y. Z. Fan et al., Eur. Phys. J. C 85, 1249 (2025)

  • [30]

    O. Bertolami, C. Gomes, and F. S. N. Lobo, Eur. Phys. J. C 78, 303 (2018)

  • [31]

    D. Liang, Y. Gong, S. Hou et al., Phys. Rev. D 95, 104034 (2017)

  • [32]

    S. Hou, Y. Gong, and Y. Liu, Eur. Phys. J. C 78, 378 (2018)

  • [33]

    Y. Gong, S. Hou, D. Liang et al., Phys. Rev. D 97, 084040 (2018)

  • [34]

    K. Bamba, S. Capozziello, M. D. Laurentis et al., Phys. Lett. B 727, 194 (2013)

  • [35]

    P. Wagle, A. Saffer, and N. Yunes, Phys. Rev. D 100, 124007 (2019)

  • [36]

    Y. Q. Dong and Y. X. Liu, Phys. Rev. D 105, 064035 (2022)

  • [37]

    S. Bahamonde et al., Phys. Rev. D 104, 084082 (2021)

  • [38]

    D. Liang, R. Xu, X. Lu et al., Phys. Rev. D 106, 124019 (2022)

  • [39]

    Y. Q. Dong, Y. Q. Liu, and Y. X. Liu, Phys. Rev. D 109, 024014 (2024)

  • [40]

    S. Q. Hou, X. L. Fan, T. Zhu et al., Phys. Rev. D 109, 084011 (2024)

  • [41]

    X. B. Lai, Y. Q. Dong, Y. Q. Liu et al., Phys. Rev. D 110, 064073 (2024)

  • [42]

    Y. Z. Fan, X. B. Lai, Y. Q. Dong et al., Eur. Phys. J. C 85, 65 (2025)

  • [43]

    M. B. Varela, and O. Bertolami, Phys. Rev. D 111, 024014 (2025)

  • [44]

    S. Capozziello, M. Capriolo, and S. Nojiri, Phys. Lett. B 850, 138510 (2024)

  • [45]

    Y. Q. Dong, Y. Q. Liu, and Y. X. Liu, Phys. Rev. D 109, 044013 (2024)

  • [46]

    Y. Q. Dong, X. B. Lai, Y. Q. Liu et al., Eur. Phys. J. C 85, 645 (2025)

  • [47]

    K. Schumacher, N. Yunes, and K. Yagi, Phys. Rev. D 108, 104038 (2023)

  • [48]

    K. Schumacher, C. Talbot, D. E. Holz et al., Phys. Rev. D 112, 024067 (2025)

  • [49]

    I. Soudi et al., Phys. Rev. D 100, 044008 (2019)

  • [50]

    M. Hohmann et al., Phys. Rev. D 99, 024009 (2019)

  • [51]

    L. Bian et al., Sci. China Phys. Mech. Astron. 69, 210401 (2026)

  • [52]

    J. B. Jimenez, L. Heisenberg, and T. S. Koivisto, JCAP 08, 039 (2018)

  • [53]

    J. M. Bardeen, Phys. Rev. D 22, 1882 (1980)

  • [54]

    E. E. Flanagan and S. A. Hughes, New J. Phys. 7, 204 (2005)

  • [55]

    Y. Q. Dong, Y. Q. Liu and Y. X. Liu, Eur. Phys. J. C 83, 702 (2023)

  • [56]

    S. Weinberg, Cosmology, (Oxford University Press, 2008)

  • [57]

    L. C. Evans, Partial Differential Equations, (American Mathematical Society, 1998)

  • [58]

    D. Iosifidis and F. W. Hehl, Phys. Lett. B 850, 138498 (2024)

  • [59]

    D. Iosifidis, (2025), arXiv: 2509.14757

  • [60]

    D. A. Gomes, J. B. Jimenez, A. J. Cano et al., Phys. Rev. Lett. 132, 141401 (2024)

  • [61]

    L. Heisenberg, M. Hohmann, and S. Kuhn, JCAP 03, 063 (2024)

  • [62]

    J. Chen, Z. Chen, and X. Gao, Phys. Rev. D 113, 104050 (2026)

  • [63]

    L. Heisenberg, (2026), arXiv: 2603.11581