• [1]

    N. Aghanim et al. (Planck Collaboration), "Planck 2018 results. VI. Cosmological parameters, " Astron. Astrophys. 641, A6 (2020), arXiv: 1807.06209[astro-ph.CO]. [Erratum: Astron. Astrophys. 652, C4 (2021)]

  • [2]

    P. A. Ade et al., Astronomy & Astrophysics 571, A1 (2014)

  • [3]

    A. G. Riess et al., Astrophys. J. 861(2), 126 (2018), arXiv:1804.10655[astro-ph.CO

  • [4]

    J. M. Virey, D. Talon-Esmieu, A. Ealet et al., JCAP 12, 008 (2008), arXiv:0802.4407[astro-ph

  • [5]

    Y. Wang and P. Mukherjee, Phys. Rev. D 76, 103533 (2007), arXiv:astro-ph/0703780

  • [6]

    C. Clarkson, M. Cortes, and B. A. Bassett, JCAP 08, 011 (2007), arXiv:astro-ph/0702670

  • [7]

    A. Rest et al., Astrophys. J. 795(1), 44 (2014), arXiv:1310.3828[astro-ph.CO

  • [8]

    S. Kumar, Phys. Rev. D 92(10), 103512 (2015), arXiv:1507.04684[gr-qc

  • [9]

    E. Di Valentino, A. Melchiorri, and J. Silk, Nature Astron. 4(2), 196-203 (2019), arXiv:1911.02087[astro-ph.CO

  • [10]

    W. Handley, Phys. Rev. D 103(4), L041301 (2021), arXiv:1908.09139[astro-ph.CO

  • [11]

    E. Di Valentino, A. Melchiorri, and J. Silk, Astrophys. J. Lett. 908(1), L9 (2021), arXiv:2003.04935[astro-ph.CO

  • [12]

    Q.-G. Huang and M. Li, JCAP 08, 013 (2004), arXiv:astro-ph/0404229

  • [13]

    J. Shen and X. Xue, "Large Scale Lorentz Violation Gravity and Dark Energy, " in Proceedings, 28th International Symposium on Lepton Photon Interactions at High Energies (LP17): Guangzhou (Guangdong), China, August 7-12, 2017, W. Wang and Z.-z. Xing, eds., pp. 459–475. 2020. arXiv: 1802.03502[gr-qc].

  • [14]

    H. Zhai, J. Shen, and X. Xue, Acta Phys. Sin. 68(13), 139501 (2019)

  • [15]

    H. Zhai, J. Shen, and X. Xue, Chin. Phys. C 44(8), 085101 (2020), arXiv:1906.11860[hep-th

  • [16]

    J. T. Nielsen, A. Guffanti, and S. Sarkar, Scientific reports 6, 35596 (2016), arXiv:1506.01354[astro-ph.CO

  • [17]

    Q. Li, J. Li, Y. Zhou, and X. Xue, Chin. Phys. C 44(10), 105108 (2020), arXiv:2003.09121[gr-qc

  • [18]

    T. Shanks, L. Hogarth, and N. Metcalfe, Mon. Not. Roy. Astron. Soc. 484(1), L64-L68 (2019), arXiv:1810.02595[astro-ph.CO

  • [19]

    A. G. Riess, S. Casertano, D. Kenworthy, D. Scolnic, and L. Macri, "Seven Problems with the Claims Related to the Hubble Tension in arXiv: 1810.02595, " arXiv: 1810.03526[astro-ph.CO].

  • [20]

    R. von Marttens, V. Marra, L. Casarini, J. E. Gonzalez, and J. Alcaniz, Phys. Rev. D 99(4), 043521 (2019), arXiv:1812.02333[astro-ph.CO

  • [21]

    C. A. P. Bengaly, U. Andrade, and J. S. Alcaniz, Eur. Phys. J. C 79(9), 768 (2019), arXiv:1810.04966[astro-ph.CO

  • [22]

    B. P. Abbott et al. (LIGO Scientific, Virgo Collaboration), Phys. Rev. Lett. 119(16), 161101 (2017), arXiv:1710.05832[gr-qc

  • [23]

    M. Fishbach et al. (LIGO Scientific, Virgo Collaboration), Astrophys. J. Lett. 871(1), L13 (2019), arXiv:1807.05667[astro-ph.CO

  • [24]

    D. J. Mortlock, S. M. Feeney, H. V. Peiris et al., Phys. Rev. D 100(10), 103523 (2019), arXiv:1811.11723[astro-ph.CO

  • [25]

    S. M. Feeney, H. V. Peiris, A. R. Williamson et al., Phys. Rev. Lett. 122(6), 061105 (2019), arXiv:1802.03404[astro-ph.CO

  • [26]

    K. Hotokezaka, E. Nakar, O. Gottlieb et al., Nature Astron. 3(10), 940-944 (2019), arXiv:1806.10596[astro-ph.CO

  • [27]

    H.-Y. Chen, M. Fishbach, and D. E. Holz, Nature 562(7728), 545-547 (2018), arXiv:1712.06531[astro-ph.CO

  • [28]

    S. Vitale and H.-Y. Chen, Phys. Rev. Lett. 121(2), 021303 (2018), arXiv:1804.07337[astro-ph.CO

  • [29]

    M. G. Dainotti, B. De Simone, T. Schiavone et al., Astrophys. J. 912(2), 150 (2021), arXiv:2103.02117[astro-ph.CO

  • [30]

    A. Banerjee, H. Cai, L. Heisenberg et al., Phys. Rev. D 103(8), L081305 (2021), arXiv:2006.00244[astro-ph.CO

  • [31]

    H. Miao and Z. Huang, Astrophys. J. 868(1), 20 (2018), arXiv:1803.07320[astro-ph.CO

  • [32]

    K. Bolejko, Phys. Rev. D 97(10), 103529 (2018), arXiv:1712.02967[astro-ph.CO