• [1]

    A. A. Penzias, R. W. Wilson, ApJ 142, 419 (1965)

  • [2]

    R. A. Alpher, H. Bethe, and G. Gamow, Phys. Rev. 73, 803 (1948)

  • [3]

    A.G. Riess et al., Astron. J. 116, 1009 (1998)

  • [4]

    S. Perlmutter et al., ApJ 517, 565 (1999)

  • [5]

    Planck Collaboration, A& A 641 A(6), 1 (2020)

  • [6]

    S. Weinberg, Rev. Mod. Phys. 61(1), 1 (1989)

  • [7]

    S. M. Carroll, Phys. Rev. Lett. 81, 3067 (1998)

  • [8]

    Green Schwarz, Superstring Theory (Cambridge: Cambridge University Press, 1988)

  • [9]

    J. Polchinski, String Theory (Cambridge: Cambridge University Press , 2005)

  • [10]

    A. Mazumdar, S. Panda and A. Perez-Lorenzana, Nuclear Physics B 614, 101 (2001)

  • [11]

    A. Sen, Modern Physics Letters A 17, 1797 (2002)

  • [12]

    A. Sen, JHEP 04, 048 (2002)

  • [13]

    A. Sen, JHEP 07, 065 (2002)

  • [14]

    T. Padmanabhan et al., Phys.Rev. D 66, 021301 (2002)

  • [15]

    G. W. Gibbons, Phys. Lett. B 537, 1 (2002)

  • [16]

    G. W. Gibbons, Class.Quant.Grav. 20, S321 (2003)

  • [17]

    J. Bhagla et al., Phys.Rev. D 67, 063504 (2003)

  • [18]

    V. Gorini et al., Phys.Rev. D 69, 123512 (2004)

  • [19]

    T. Padmanabhan et al., Phys.Rev. D 66, 081301 (2002)

  • [20]

    E. J. Copeland et al., Phys.Rev. D 71, 043003 (2005)

  • [21]

    Aguirregabiria et al., Phys.Rev. D 69, 123502 (2004)

  • [22]

    W. Fang, H. Q. Lu, Eur. Phys. J C 68, 567 (2010)

  • [23]

    Quiros et al., Class.Quant.Grav. 27, 215021 (2010)

  • [24]

    Z. K. Guo et al., Phys.Rev. D 71, 023501 (2005)

  • [25]

    E. Silverstein, D. Tong, Phys.Rev. D 70, 103505 (2004)

  • [26]

    CANTATA collaboration, Modified Gravity and Cosmology: An Update by the CANTATA Network, arXiv:2105.12582

  • [27]

    Timothy Clifton et al., Physics Reports 513, 1 (2012)

  • [28]

    J. M. Nester and H.-J. Yo, Chin. J. Phys. 37, 113 (1999)

  • [29]

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

  • [30]

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

  • [31]

    F. D Ambrosio et al., Phys. Rev. D 105, 024042 (2022)

  • [32]

    J. B. Jiménez et al., Phys. Rev. D 101, 103507 (2020)

  • [33]

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

  • [34]

    F.K. Anagnostopoulos, S. Basilakos, and E. N. Saridakis, Phys. Lett. B 822, (2021)

  • [35]

    F. D'Ambrosio, L. Heisenberg, S. Kuhn, Class. Quantum Grav. 39, 025013 (2022)

  • [36]

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

  • [37]

    D. Zhao, Eur. Phys. J. C 82, 303 (2022)

  • [38]

    A. De and L.T. How, Phys. Rev. D 106, 048501 (2022)

  • [39]

    N. Frusciante, Phys. Rev. D 103, 0444021 (2021)

  • [40]

    W. Khyllep, A. Paliathanasis and J. Dutta, Phys. Rev. D 103, 103521 (2021)

  • [41]

    M. Calza and L. Sebastiani, Eur. Phys. J. C. 83, 247 (2023)

  • [42]

    H. Shabani, Avik De, T. H. Loo, arXiv:2304.02949

  • [43]

    W. Khyllep, J. Dutta, E. N. Saridakis, and K. Yesmakhanova, Phys. Rev. D 107, 044022 (2023)

  • [44]

    H. Shabani and M. Farhoudi, Phys. Rev. D 88, 044048 (2013)

  • [45]

    A. Paliathanasis, Phys. Dark Univ. 41, 101255 (2023)

  • [46]

    S. Ghosh, R. Solanki and P. K. Sahoo, Phys. Scr. 99, 055021 (2024)

  • [47]

    G. Leon et al., Fortschr. Phys. 71, 2300006 (2023)

  • [48]

    Bharat Ratra and P. J. E. Peebles, Phys. Rev. D 37, 3406 (1988)

  • [49]

    P. J. E. Peebles and A. Vilenkin, Phys. Rev. D 59, 063505 (1999)

  • [50]

    A. Baldazzi, O. Melichev and R. Percacci, Ann. Phys. 438, 168757 (2022)

  • [51]

    J. Hao, X. Li, Phys.Rev. D 68, 083514 (2003)

  • [52]

    P. Chingangbam and T. Qureshi, Int. J. Mod. Phys. A 20, 6083 (2005)

  • [53]

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

  • [54]

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

  • [55]

    S. Bahamonde, C. G. Bohmer, S. Carloni et al., Phys. Rept. 775, 1 (2018)

  • [56]

    J. Einasto et. al., A&A 462, 397 (2006)

  • [57]

    S. W. Hawking, G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge: Cambridge University Press, 1973)