• [1]

    H. Weyl, Ann. Phys. 59, 101 (1919)

  • [2]

    A.S. Eddington, The mathematical theory of relativity, Cambridge University Press, Cambridge (1923).

  • [3]

    R. Utiyama, B.S. DeWitt, J. Math. Phys. 3, 608 (1962)

  • [4]

    N.D. Birrell, P.C.W. Davies, Quantum fields in curved spacetime, Cambridge University Press, Cambridge (1982).

  • [5]

    A.A. Starobinsky, Phys. Lett. B 91, 9 (1980)

  • [6]

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

  • [7]

    A. De Felice and S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010)

  • [8]

    P. K. S. Dunsby et al., Phys. Rev. D 82, 023519 (2010)

  • [9]

    A. Mukherjee and N. Banerjee, Astrophys. Space Sci. 352, 893 (2014)

  • [10]

    K. Atazadeh et al., Int. J. Mod. Phys. D 18, 1101 (2009)

  • [11]

    J. Santos et al., Phys. Rev. D 76, 083513 (2007)

  • [12]

    S. Capozziello et al., Phys. Lett. B 781, 99 (2018)

  • [13]

    J. Wang et al., Phys. Lett. B 689, 133 (2010)

  • [14]

    S. E. Perez Bergliaffa, Phys. Lett. B 642, 311 (2006)

  • [15]

    F. D. Albareti et al., JCAP 03, 012 (2014)

  • [16]

    F. D. Albareti et al., JCAP 07, 009 (2013)

  • [17]

    K. D. Krori et al., Ind. J. Phys. 82(5), 531 (2008)

  • [18]

    T. Harko and F. S. N. Lobo, Eur. Phys. J. C 70, 373 (2010)

  • [19]

    J. Wang and K. Liao, Class. Quantum Gravit. 29, 215016 (2012)

  • [20]

    N. Goheer, R. Goswami, P. K. S. Dunsby et al., Phys. Rev. D 79, 121301(R) (2009)

  • [21]

    N. Goheer, J. Larena, and P. K. S. Dunsby, Phys. Rev. D 80, 061301 (2009)

  • [22]

    C. P. Singh and V. Singh, Int. J. Theor. Phys. 51, 1889 (2012)

  • [23]

    T. Harko et al., Phys. Rev. D 84, 024020 (2011)

  • [24]

    N. Hulke, G. P. Singh, B. K. Bishi et al., New Astronomy 77, 101357 (2020)

  • [25]

    A. Pradhan, A. Dixit, and G. Varshney, Int. J. Mod. Phys. A 37, 2250121 (2022)

  • [26]

    V. K. Bhardwaj and A. Pradhan, New Astron. 91, 101675 (2022)

  • [27]

    A. Pradhan, D. C. Maurya, G. K. Goswami et al. Modeling Transit Dark Energy in \begin{document}$f(R, L_m)$\end{document}-gravity, arXiv: 2209.14269

  • [28]

    C. Armendariz-Picon et al., Phys. Rev. D 63, 103510 (2001)

  • [29]

    C. Armendariz-Picon et al., Phys. Rev. Lett. 85, 4438 (2000)

  • [30]

    M. Visser, C. Barcelo, and S. Liberati, Gen. Relativ. Gravit. 34, 1719 (2002)

  • [31]

    E. Babichev, V. Mukhanov, and A. Vikman, JHEP 0609, 061 (2006)

  • [32]

    E. Babichev, V. Mukhanov, and A. Vikman, JHEP 02, -101 (2008)

  • [33]

    A. Vikman, K-essence: Cosmology, causality and Emergent Geometry, Dissertation an der Fakultat fur Physik, Arnold Sommerfeld Center for Theoretical Physics, der Ludwig-Maximilians-Universitat Munchen, Munchen, den 29.08.2007.

  • [34]

    E. Babichev, V. Mukhanov, A. Vikman, Looking beyond the Horizon, WSPC-Proceedings (October 23, 2008).

  • [35]

    R. J. Scherrer, Phys. Rev. Lett. 93, 011301 (2004)

  • [36]

    L. P. Chimento, Phys. Rev. D 69, 123517 (2004)

  • [37]

    M. Born and L. Infeld, Proc. Roy. Soc. Lond A 144, 425 (1934)

  • [38]

    W. Heisenberg, Zeit. Phys. 113, 61 (1939)

  • [39]

    P. A. M. Dirac, Proc. R. Soc. Lond. A 268, 57 (1962)

  • [40]

    D. Gangopadhyay and G. Manna, Eur. Phys. Lett. 100, 49001 (2012)

  • [41]

    G. Manna and D. Gangopadhyay, Eur. Phys. J. C 74, 2811 (2014)

  • [42]

    G. Manna, B. Majumder, Eur. Phys. J. C 79, 553 (2019)

  • [43]

    S. Mukohyama et al., Phys. Rev. D 94, 023514 (2016)

  • [44]

    S. Nojiri et. al., Nuc. Phys. B 94, 11 (2019)

  • [45]

    S. D. Odintsov et. al., Phys. Dark Univ. 29, 100563 (2020)

  • [46]

    V. K. Oikonomou and N. Chatzarakis, Nuc. Phys. B 956, 115023 (2020)

  • [47]

    N. Bahcall et al., Science 284, 1481 (1999)

  • [48]

    J. U. Kang et al., Phys. Rev. D. 76, 083511 (2007)

  • [49]

    R. R. Caldwell et al., Phys. Rev. Lett. 80, 1582 (1998)

  • [50]

    J. Frieman et al., Phys. Rev. Lett. 75, 2077 (1995)

  • [51]

    P. J. E. Peebles and B. Ratra, Astrophys. J. Lett. 325, L17 (1988)

  • [52]

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

  • [53]

    I. Zlatev and P. J. Steinhardt, Phys. Lett. B 459, 570 (1999)

  • [54]

    P. J. Steinhardt, L. Wang, and I. Zlatev, Phys. Rev. D 59, 123504 (1999)

  • [55]

    I. Zlatev, Limin Wang, and P. J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999)

  • [56]

    J.K. Erickson et al., Phys. Rev. Lett. 88, 121301 (2002)

  • [57]

    S. DeDeo, R. R. Caldwell, and P. J. Steinhardt, Phys. Rev. D 67, 103509 (2003)

  • [58]

    R. Bean and O. Dore, Phys. Rev. D 69, 083503 (2004)

  • [59]

    C. Bonvin et. al., Phys. Rev. Lett. 97, 081303 (2006)

  • [60]

    R. Yang et al., Astrophys. Space Sci. 356, 399 (2014)

  • [61]

    I. Sawicki et al., Phys. Rev. D 88, 083520 (2013)

  • [62]

    M. Kunz et al., Phys. Rev. D 92, 063006 (2015)

  • [63]

    A.D. Linde, Phys. Lett. B 108, 389 (1982)

  • [64]

    A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982)

  • [65]

    G. Dvali and S.-H. Henry Tye, Phys. Lett. B 450, 72 (1999)

  • [66]

    S. Kachru et al., JCAP 0310, 013 (2003)

  • [67]

    M. Alishahiha, E. Silverstein, and D. Tong, Phys. Rev. D 70, 123505 (2004)

  • [68]

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

  • [69]

    X. Chen, Phys. Rev. D 71, 063506 (2005)

  • [70]

    S. Weinberg, Phys. Rev. D 77, 123541 (2008)

  • [71]

    X. Chen et al., JCAP 0701, 002 (2007)

  • [72]

    Panda et al., "\begin{document}$f(\bar{R}, T)-$\end{document}gravity in the context of dark energy", https://doi.org/10.48550/arXiv.2206.14808 (2022)

  • [73]

    S. Carroll, Spacetime and Geometry: An Introduction to General Relativity, Addison Wesley, New York (2004).

  • [74]

    D. Gangopadhyay, G. Manna, Cosmology in presence of dark energy in an emergent gravity scenario, arXiv: 1502.06255

  • [75]

    R.M. Wald, General Relativity, Univ. Chicago Press (1984).

  • [76]

    C. Misner, K.S. Thorne, J. Wheeler, Gravitation, W.H. Freeman and Company (1970).

  • [77]

    T. Koivisto, Class. Quantum Gravit. 23, 4289 (2006)

  • [78]

    T. Harko, Phys. Lett. B 669, 376 (2008)

  • [79]

    A. Kehagias et al., Phys. Rev. D 89, 043527 (2013)

  • [80]

    P. H. R. S. Moraes et al., Adv. Astron., 8574798 (2019)

  • [81]

    A. Tripathi et al., JCAP 06, 12 (2017)

  • [82]

    E. R. Harrison, Nature (London) 260, 591 (1976)

  • [83]

    P. Landsberg, Nature (London) 263, 217 (1976)

  • [84]

    M. Visser, Class. Quantum Gravit. 21, 2603 (2004)

  • [85]

    M. Visser, Gen. Relativ. Gravit. 37, 1541 (2005)

  • [86]

    P. R. Ade et al., Astron. Astrophys. 594, A13 (2016)

  • [87]

    N. Aghanim et al., Astron. Astrophys. 641, A6 (2020)

  • [88]

    J. T. Nielsen, A Guffanti, and S. Sarkar, Sci. Rep. 6, 35596 (2016)

  • [89]

    A. Raychaudhuri, Phys. Rev. 98, 1123 (1955)

  • [90]

    A. Raychaudhuri, Z. Astrophysik. 43, 161 (1957)

  • [91]

    A. Raychaudhuri, Phys. Rev. 106, 172 (1957)

  • [92]

    M. Blau, Lecture Notes on General Relativity, http://www.blau.itp.unibe.ch/GRLecturenotes.html (2020).

  • [93]

    I. Bhattacharyya and S. Ray, Int. J. Mod. Phys. D 30, 2150092 (2021)

  • [94]

    I. Bhattacharyya and S. Ray, Eur. Phys. J. C 82, 953 (2022)