• [1]

    A. G. Riess et al. (Supernova Search Team), Astron. J. 116, 1009-1038 (1998), arXiv:astro-ph/9805201[astro-ph

  • [2]

    S. Perlmutter et al. (Supernova Cosmology Project), Astrophys. J. 517, 565-586 (1999), arXiv:astro-ph/9812133[astro-ph

  • [3]

    C. L. Bennett et al. (WMAP), Astrophys. J. Suppl. 148, 1-27 (2003), arXiv:astro-ph/0302207[astro-ph

  • [4]

    D. N. Spergel et al. (WMAP), Astrophys. J. Suppl. 148, 175-194 (2003), arXiv:astro-ph/0302209[astro-ph

  • [5]

    M. Tegmark et al. (SDSS), Phys. Rev. D 69, 103501 (2004), arXiv:astro-ph/0310723[astro-ph

  • [6]

    M. Tegmark et al. (SDSS), Astrophys. J. 606, 702-740 (2004), arXiv:astro-ph/0310725[astro-ph

  • [7]

    C. Armendariz-Picon, T. Damour, and V. F. Mukhanov, Phys. Lett. B 458, 209-218 (1999), arXiv:hep-th/9904075[hep-th

  • [8]

    J. Garriga and V. F. Mukhanov, Phys. Lett. B 458, 219-225 (1999), arXiv:hep-th/9904176[hep-th

  • [9]

    T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000), arXiv:astro-ph/9912463[astro-ph

  • [10]

    C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438-4441 (2000), arXiv:astro-ph/0004134[astro-ph

  • [11]

    C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, Phys. Rev. D 63, 103510 (2001), arXiv:astro-ph/0006373[astro-ph

  • [12]

    S. Tsujikawa, Phys. Rev. D 73, 103504 (2006), arXiv:hepth/0601178[hep-th

  • [13]

    Y. Gong, A. Wang, and Y. Z. Zhang, Phys. Lett. B 636, 286-292 (2006), arXiv:gr-qc/0603050[gr-qc

  • [14]

    P. G. Ferreira and M. Joyce, Phys. Rev. D 58, 023503 (1998), arXiv:astro-ph/9711102[astro-ph

  • [15]

    E. J. Copeland, A. R. Liddle, and D. Wands, Phys. Rev. D 57, 4686-4690 (1998), arXiv:gr-qc/9711068[gr-qc

  • [16]

    Z. K. Guo, Y. S. Piao, R. G. Cai et al., Phys. Lett. B 576, 12-17 (2003), arXiv:hep-th/0306245[hep-th

  • [17]

    Z. K. Guo, Y. S. Piao, and Y. Z. Zhang, Phys. Lett. B 568, 1-7 (2003), arXiv:hep-th/0304048[hep-th

  • [18]

    K. Lin and W. L. Qian, Eur. Phys. J. C 80(6), 561 (2020), arXiv:2006.03229[gr-qc

  • [19]

    E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753-1936 (2006), arXiv:hep-th/0603057[hep-th

  • [20]

    L. A. Urena-Lopez, JCAP 09, 013 (2005), arXiv:astro-ph/0507350[astro-ph

  • [21]

    J. Carot and M. M. Collinge, Class. Quant. Grav. 20, 707-728 (2003

  • [22]

    Y. Ito, S. Nojiri and S.D. Odintsov, Entropy 14, 1578 (2012

  • [23]

    C. Rovelli, Quantum Gravity, (Cambridge University Press, 2004)

  • [24]

    T. Thiemann, Modern Canonical Quantum General Relativity, (Cambridge University Press, 2007)

  • [25]

    A. Ashtekar and J. Lewandowski, Class. Quant. Grav. 21, R53 (2004), arXiv:gr-qc/0404018[gr-qc

  • [26]

    M. Han, W. Huang, and Y. Ma, Int. J. Mod. Phys. D 16, 1397-1474 (2007), arXiv:gr-qc/0509064[gr-qc

  • [27]

    M. Bojowald, Phys. Rev. Lett. 86, 5227-5230 (2001), arXiv:gr-qc/0102069[gr-qc

  • [28]

    A. Ashtekar, T. Pawlowski, and P. Singh, Phys. Rev. Lett. 96, 141301 (2006), arXiv:gr-qc/0602086[gr-qc

  • [29]

    A. Ashtekar, T. Pawlowski, and P. Singh, Phys. Rev. D 74, 084003 (2006), arXiv:gr-qc/0607039[gr-qc

  • [30]

    M. Bojowald, Living Rev. Rel. 8, 11 (2005), arXiv:gr-qc/0601085[gr-qc

  • [31]

    A. Ashtekar, M. Bojowald, and J. Lewandowski, Adv. Theor. Math. Phys. 7(2), 233-268 (2003), arXiv:gr-qc/0304074[gr-qc

  • [32]

    A. Ashtekar and P. Singh, Class. Quant. Grav. 28, 213001 (2011), arXiv:1108.0893[gr-qc

  • [33]

    A. Ashtekar, T. Pawlowski, and P. Singh, Phys. Rev. D 73, 124038 (2006), arXiv:gr-qc/0604013[grqc

  • [34]

    M. Bojowald, G. Date, and K. Vandersloot, Class. Quant. Grav. 21, 1253-1278 (2004), arXiv:gr-qc/0311004[gr-qc

  • [35]

    P. Singh and A. Toporensky, Phys. Rev. D 69, 104008 (2004), arXiv:gr-qc/0312110[gr-qc

  • [36]

    G. V. Vereshchagin, JCAP 07, 013 (2004), arXiv:gr-qc/0406108[gr-qc

  • [37]

    G. Date, Phys. Rev. D 71, 127502 (2005), arXiv:gr-qc/0505002[gr-qc

  • [38]

    G. Date and G. M. Hossain, Phys. Rev. Lett. 94, 011302 (2005), arXiv:gr-qc/0407074[gr-qc

  • [39]

    R. Goswami, P. S. Joshi, and P. Singh, Phys. Rev. Lett. 96, 031302 (2006), arXiv:gr-qc/0506129[gr-qc

  • [40]

    M. Bojowald, J. Phys. Conf. Ser. 24, 77-86 (2005), arXiv:gr-qc/0503020[gr-qc

  • [41]

    T. Stachowiak and M. Szydlowski, Phys. Lett. B 646, 209-214 (2007), arXiv:gr-qc/0610121[gr-qc

  • [42]

    M. Bojowald, Phys. Rev. Lett. 89, 261301 (2002), arXiv:gr-qc/0206054[gr-qc

  • [43]

    E. J. Copeland, D. J. Mulryne, N. J. Nunes et al., Phys. Rev. D 77, 023510 (2008), arXiv:0708.1261[gr-qc

  • [44]

    M. Bojowald, H. H. Hernandez, M. Kagan et al., Phys. Rev. D 74, 123512 (2006), arXiv:gr-qc/0609057[gr-qc

  • [45]

    M. Bojowald, H. Hernandez, M. Kagan et al., Phys. Rev. Lett. 98, 031301 (2007), arXiv:astro-ph/0611685[astro-ph

  • [46]

    M. Bojowald, G. M. Hossain, M. Kagan et al., Phys. Rev. D 78, 063547 (2008), arXiv:0806.3929[grqc

  • [47]

    M. Bojowald and G. M. Hossain, Class. Quant. Grav. 24, 4801-4816 (2007), arXiv:0709.0872[gr-qc

  • [48]

    M. Bojowald and G. M. Hossain, Phys. Rev. D 77, 023508 (2008), arXiv:0709.2365[gr-qc

  • [49]

    J. P. Wu and Y. Ling, JCAP 05, 026 (2010), arXiv:1001.1227[hep-th

  • [50]

    J. P. Wu and Y. Ma, Phys. Rev. D 86, 124044 (2012), arXiv:1209.2766[gr-qc

  • [51]

    J. P. Wu, M. Bojowald, and Y. Ma, Phys. Rev. D 98(10), 106009 (2018), arXiv:1809.04465[gr-qc

  • [52]

    G. M. Hossain, Class. Quant. Grav. 22, 2511-2532 (2005), arXiv:gr-qc/0411012[gr-qc

  • [53]

    G. Calcagni and M. Cortes, Class. Quant. Grav. 24, 829-854 (2007), arXiv:gr-qc/0607059[gr-qc

  • [54]

    D. J. Mulryne and N. J. Nunes, Phys. Rev. D 74, 083507 (2006), arXiv:astro-ph/0607037[astro-ph

  • [55]

    X. Zhang and Y. Ling, JCAP 08, 012 (2007), arXiv:0705.2656[gr-qc

  • [56]

    M. Artymowski, Z. Lalak, and L. Szulc, JCAP 01, 004 (2009), arXiv:0807.0160[gr-qc

  • [57]

    S. Tsujikawa, P. Singh, and R. Maartens, Class. Quant. Grav. 21, 5767-5775 (2004), arXiv:astro-ph/0311015[astro-ph

  • [58]

    M. Shimano and T. Harada, Phys. Rev. D 80, 063538 (2009), arXiv:0909.0334[gr-qc

  • [59]

    Y. Ding, Y. Ma, and J. Yang, Phys. Rev. Lett. 102, 051301 (2009), arXiv:0808.0990[gr-qc

  • [60]

    H. Wei and S. N. Zhang, Phys. Rev. D 76, 063005 (2007), arXiv:0705.4002[gr-qc

  • [61]

    P. Wu and S. N. Zhang, JCAP 06, 007 (2008), arXiv:0805.2255[astro-ph

  • [62]

    X. Fu, H. W. Yu, and P. Wu, Phys. Rev. D 78, 063001 (2008), arXiv:0808.1382[gr-qc

  • [63]

    S. Chen, B. Wang, and J. Jing, Phys. Rev. D 78, 123503 (2008), arXiv:0808.3482[gr-qc

  • [64]

    H. Zonunmawia, W. Khyllep, N. Roy et al., Phys. Rev. D 96(8), 083527 (2017), arXiv:1708.07716[gr-qc

  • [65]

    S. Li and Y. Ma, Eur. Phys. J. C 68, 227-239 (2010), arXiv:1004.4350[astro-ph.CO

  • [66]

    A. Chakraborty, A. Ghosh, and N. Banerjee, Phys. Rev. D 99(10), 103513 (2019), arXiv:1904.10149[gr-qc

  • [67]

    J. Yang, Y. Ding, and Y. Ma, Phys. Lett. B 682, 1-7 (2009), arXiv:0904.4379[gr-qc

  • [68]

    M. Assanioussi, A. Dapor, K. Liegener et al., Phys. Rev. Lett. 121(8), 081303 (2018), arXiv:1801.00768[gr-qc

  • [69]

    S. Bahamonde, C. G. Böhmer, S. Carloni et al., Phys. Rept. 775-777, 1-122 (2018), arXiv:1712.03107[gr-qc

  • [70]

    B. Gumjudpai, T. Naskar, M. Sami et al., JCAP 06, 007 (2005), arXiv:hep-th/0502191[hep-th

  • [71]

    Caldwell, Robert and Kamionkowski, Marc and Weinberg, Nevin, Phys. Rev. Lett 91(10.071301), (2003

  • [72]

    S. Trojanowski, P. Brax, and C. van de Bruck, Phys. Rev. D 102(2), 023035 (2020), arXiv:2006.01149[hep-ph

  • [73]

    C. Pongkitivanichkul, D. Samart, N. Thongyoi et al., A Kaluza-Klein Inspired Brans-Dicke Gravity with Dark Matter and Dark Energy Model, arXiv: 2005.08791 [gr-qc]

  • [74]

    S. K. J. Pacif, Dark energy models from a parametrization of H: A comprehensive analysis and observational constraints, arXiv: 2005.06972 [physics.gen-ph]

  • [75]

    J. L. Li and J. P. Wu, Phys. Lett. B 686, 221-226 (2010), arXiv:1003.1870[hep-th

  • [76]

    A. Y. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Lett. B 511, 265-268 (2001), arXiv:gr-qc/0103004[gr-qc

  • [77]

    M. C. Bento, O. Bertolami, and A. A. Sen, Phys. Rev. D 70, 083519 (2004), arXiv:astro-ph/0407239[astro-ph

  • [78]

    H. S. Zhang and Z. H. Zhu, Phys. Rev. D 73, 043518 (2006), arXiv:astro-ph/0509895[astro-ph

  • [79]

    S. Li, Y. Ma, and Y. Chen, Int. J. Mod. Phys. D 18, 1785-1800 (2009), arXiv:0809.0617[gr-qc