• [1]

    J. Magueijo, Rep. Prog. Phys.66, 2025 (2003)

  • [2]

    J. Magueijo and L. Smolin, Phys. Rev. D67, 044017 (2003)

  • [3]

    J. Magueijo and L. Smolin, Phys. Rev. Lett.88, 190403 (2002)

  • [4]

    J. Magueijo and L. Smolin, Class. Quantum Gravit.21, 1725 (2004)

  • [5]

    D. Kimberlyet al., Phys. Rev. D70, 084007 (2004)

  • [6]

    G. Amelino-Camelia, Phys. Lett. B510, 255 (2001)

  • [7]

    Y. Ling, X. Li, and H. Zhang, Mod. Phys. Lett. A22, 2749 (2007)

  • [8]

    V. A. Kostelecky and S. Samuel, Phys. Rev. D39, 683 (1989)

  • [9]

    R. Gambini and J. Pullin, Phys. Rev. D59, 124021 (1999)

  • [10]

    S. M. Carrollet al., Phys. Rev. Lett.87, 141601 (2001)

  • [11]

    S. H. Hendiet al., Nucl. Phys. B914, 117 (2017)

  • [12]

    A. F. Ali, Phys. Rev. D89, 104040 (2014)

  • [13]

    A. F. Aliet al., Int. J. Geom. Meth. Mod. Phys.12, 1550085 (2015)

  • [14]

    Y. Heydarzadeet al., Phys. Lett. B774, 46 (2017)

  • [15]

    Y. Heydarzadeet al., JCAP06, 038 (2018)

  • [16]

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

  • [17]

    A. G. Riesset al., Astron. J.118, 2668 (1999)

  • [18]

    A .G. Riesset al., Astrophys. J.560, 49 (2001)

  • [19]

    S. Perlmutteret al., Nature391, 51 (1998)

  • [20]

    S. Perlmutteret al., Astrophys. J.517, 565 (1999)

  • [21]

    J. L. Tonryet al., Astrophys. J.594, 1 (2003)

  • [22]

    A. I. Vainshtein, Phys. Lett. B39, 393 (1972)

  • [23]

    E. Babichev and C. Deffayet, Class. Quantum Gravit.30, 184001 (2013)

  • [24]

    D. G. Boulware and S. Deser, Phys. Rev. D6, 3368 (1972)

  • [25]

    C. de Rham, G. Gabadadze, and A.J. Tolley, Phys. Rev. Lett.106, 231101 (2011)

  • [26]

    G. D’Amico, C. de Rham, S. Dubovskyet al., Phys. Rev. D84, 124046 (2011)

  • [27]

    C. de Rham, G. Gabadadze, and A. J. Tolley, Phys. Lett. B711, 190 (2012)

  • [28]

    S. F. Hassan, R. A. Rosen, and A. Schmidt-May, J. High Energy Phys.1202, 026 (2012)

  • [29]

    S. F. Hassan, A. Schmidt-May, and M. von Strauss, Phys. Lett. B715, 335 (2012)

  • [30]

    S. F. Hassan and R. A. Rosen, Phys. Rev. Lett.108, 041101 (2012)

  • [31]

    S. F. Hassan and R. A. Rosen, J. High Energy Phys.1204, 123 (2012)

  • [32]

    K. Hinterbichler, Rev. Mod. Phys.84, 671 (2012)

  • [33]

    A. F. Aliet al., EPL109, 20001 (2015)

  • [34]

    A. F. Aliet al., Nucl. Phys. B894, 341 (2015)

  • [35]

    A. F. Aliet al., Nucl. Phys. B743, 295 (2015)

  • [36]

    S. H. Hendi and M. Faizal, Phys. Rev. D92, 044027 (2015)

  • [37]

    S. H. Hendiet al., Eur. Phys. J. C76, 296 (2016)

  • [38]

    S. H. Hendiet al., Phys. Rev. D94, 024028 (2016)

  • [39]

    S. H. Hendiet al., Astrophys. J.827, 153 (2016)

  • [40]

    S. H. Hendiet al., Prog. Theor. Exp. Phys., 103A02 (2016)

  • [41]

    P. Rudraet al., Nucl. Phys. B909, 725 (2016)

  • [42]

    A. Ashouret al., Eur. Phys. J. C76, 264 (2016)

  • [43]

    C. E. Motaet al., Phys. Rev. D100, 024043 (2019)

  • [44]

    S. Panahiyanet al., Nucl. Phys. B938, 388 (2019)

  • [45]

    P. Channuie, Eur. Phys. J. C79, 508 (2019)

  • [46]

    Y. Gim and B. Gwak, Phys. Lett. B794, 122 (2019)

  • [47]

    A. Haldar and R. Biswas, Gen. Rel. Grav.51, 72 (2019)

  • [48]

    P. S. Joshi, Pramana: J. Phys.55, 529 (2000)

  • [49]

    P. S. Joshi, Global Aspects in Gravitation and Cosmology (Clarendon, Oxford, 1993)

  • [50]

    P. C. Vaidya, Proc. Ind. Acad. Sci. A33, 264 (1951)

  • [51]

    A. Papapetrou, In A Random Walk in Relativity and Cosmology, Eds. N. Dadhich, J. K. Rao, J. V. Narlikar, and C. V. Vishveshwara (Wiley, New York, pp. 184–191, 1985)

  • [52]

    R. Penrose, Riv. Nuo. Cim.1, 252 (1969); R. Penrose, Gen. Rel. Gravit.34, 1141 (2002)

  • [53]

    I. H. Dwivedi and P. S. Joshi, Class. Quantum Gravit.6, 1599 (1989)

  • [54]

    V. Vertogradov, Int. J. Mod. Phys.: Conf. Ser.41, 1660124 (2016)

  • [55]

    P. C. Vaidya, Phys. Rev.83, 1 (1951)

  • [56]

    P. C. Vaidya, I.M. Pandya, Prog. of Theor. Phys.35, 1 (1966)

  • [57]

    P. C. Vaidya, Phys. Rev.174, 5 (1968)

  • [58]

    P. C. Vaidya, APJ144, 3 (1966)

  • [59]

    P. C. Vaidya, Gen. Rel. Gravit.31, 1 (1999)

  • [60]

    J. B. Griffiths and J. Podolsky, Exact Space-Times in Einstein's General Relativity (Cambridge Monographs on Mathematical Physics, Cambridge University Press, 2009)

  • [61]

    V. Husain, Gen. Rel. Gravit.53, 4 (1996)

  • [62]

    M. D. Mkenyeleye, R. Goswami, and S. D. Maharaj, Phys. Rev. D90, 064034 (2014)

  • [63]

    K. D. Patil, Pramana: J. Phys.60, 423 (2003)

  • [64]

    R. J. Caginalp, Phys. Rev. D101, 026010 (2020)

  • [65]

    D. Momeniet al., Phys. Lett. B762, 276 (2016)

  • [66]

    R. Sharmaet al., Ann. Phys.414, 168079 (2020)

  • [67]

    G. Manna, P. Majumdar, and B. Majumder, Phys. Rev. D101, 124034 (2020)

  • [68]

    B. Majumder, G. Manna, and M. Manna, arXiv: 2007.16053 (2020)

  • [69]

    G. Manna, Eur. Phys. J. C80, 813 (2020)

  • [70]

    M. Born and L. Infeld, Proc. Roy. Soc. Lond. A144, 425 (1934)

  • [71]

    W. Heisenberg, Zeit. Phys. A: Hadrons and Nuclei113, 1 (1939)

  • [72]

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

  • [73]

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

  • [74]

    E. Babichev, V. Mukhanov, and A. Vikman, JHEP09, 061 (2006)

  • [75]

    E. Babichev, M. Mukhanov, and A. Vikman, JHEP0802, 101 (2008)

  • [76]

    E. Babichev, M. Mukhanov, and A. Vikman, WSPC-Proc., February 1, 2008

  • [77]

    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)

  • [78]

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

  • [79]

    G. Manna and D. Gangopadhyay, Eur. Phys. J. C74, 2811 (2014)

  • [80]

    G. Manna and B. Majumder, Eur. Phys. J. C79, 553 (2019)

  • [81]

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

  • [82]

    L. P. Chimento, Phys. Rev. D69, 123517 (2004)

  • [83]

    S. X. Tian and Zong-Hong Zhu, Phys. Rev. D103, 043518 (2021)

  • [84]

    N. Bahcall et al, Science284, 1481-1488, (1999) and references therein

  • [85]

    C. Armendariz-Piconet al., Phys. Rev. D63, 103510 (2001)

  • [86]

    Arijit Pandaet al., arXiv[2004.12425v3], (2022)

  • [87]

    D. Gangopadhyay and G. Manna, arXiv[1502.06255], (2015)

  • [88]

    S. Nojiri et. al, Nuclear Physics B941, 11-27 (2019)

  • [89]

    A. Pasqua and S. Chattopadhyay, Canad. J. Phys.91, 844 (2013)

  • [90]

    J. Socorroet al., Adv. High Energy Phys., Article ID 805164, Volume 2014,https://doi.org/10.1155/2014/805164

  • [91]

    L. P. Chimento and A. Feinstein, Mod. Phys. Lett. A19, 761 (2004)

  • [92]

    R. Akhouryet al., JHEP04, 96 (2011)

  • [93]

    R. Gannouji and Y. R. Baez, JHEP07, 132 (2020)

  • [94]

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

  • [95]

    P. Galan and G. A. Mena Marugan, Phys. Rev. D70, 124003 (2004)

  • [96]

    J. Hackett, Class. Quantum Gravity23, 3833 (2006)

  • [97]

    F. Girelli, S. Liberati, and L. Sindoni, Phys. Rev. D75, 064015 (2007)

  • [98]

    C.-Z. Liu and J.-Y. Zhu, Gen, Relativ. Gravit.40, 1899 (2008)

  • [99]

    H. Li, Y. Ling, and X. Han, Class. Quantum Gravity26, 065004 (2009)

  • [100]

    R. Garattini and G. Mandanici, Phys. Rev. D85, 023507 (2012)

  • [101]

    J.-J. Peng and S.-Q. Wu, Gen, Relativ. Gravit.40, 2619 (2008)

  • [102]

    G. Amelino-Camelia, J. R. Ellis, N. E. Mavromatoset al., Int. J. Mod. Phys. A12, 607 (1997)

  • [103]

    G. Amelino-Camelia, Living Rev. Relativ.16, 5 (2013)

  • [104]

    G. Amelino-Camelia, J. R. Ellis, N. E. Mavromatoset al., Nature393, 763 (1998)

  • [105]

    S. H. Hendiet al., Phys. Dark Univ.16, 26 (2017)

  • [106]

    S. H. Hendiet al., Phys. Rev. D95, 084036 (2017)

  • [107]

    R. G. Cai, Y. P. Hu, Q. Y. Panet al., Phys. Rev. D91, 024032 (2015)

  • [108]

    D. Vegh, arXiv: 1301.0537 (2013)

  • [109]

    S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Spacetime (Cam. Univ. Press, Cambridge, 1973)

  • [110]

    D. M. Eardley and L. Smarr, Phys. Rev. D19, 2239 (1979)

  • [111]

    P. S. Joshi and I. H. Dwivedi, Commun. Math. Phys.146, 333 (1992)

  • [112]

    P. S. Joshi and T. P. Singh, Phys. Rev. D51, 6778 (1995)

  • [113]

    G. Amelino-Camelia, J. Lukierski, and A. Nowicki, Int. J. Mod. Phys. A14, 4575 (1999)

  • [114]

    Ya. B. Zel \begin{document}$ \acute{{{\rm{d}}}}$\end{document} ovich and I. D. Novikov, Relativistic Astrophysics, Vol. 1 (Univ. Chicago Press, Chicago, 1971); Stars and Relativity (Dover, New York, 1996)

  • [115]

    F. J. Tipler, Phys. Lett. A64, 8 (1977)

  • [116]

    S. G. Ghosh and N. Dadhich, Phys. Rev. D64, 047501 (2001)

  • [117]

    C. J. S Clarke and A. Krolak, J. Geom. Phys.2, 127 (1985)

  • [118]

    A. Ashtekar and B. Krishnan, Phys. Rev. D68, 104030 (2003)

  • [119]

    A. Ashtekar and B. Krishnan, Phys. Rev. Lett.89, 261101 (2002)

  • [120]

    A. Ashtekar and B. Krishnan, Living Rev. Relativity7, 10 (2004)

  • [121]

    S. A. Hayward, Phys. Rev. D49, 6467 (1994)

  • [122]

    S. Sawayama, Phys. Rev. D73, 064024 (2006)

  • [123]

    A. A. Gribet al., Modern Physics Letters A.29(20), 14501-14510 (2014)

  • [124]

    A. A. Gribet al., arXiv: 1401.0368v1 (2014).

  • [125]

    V. D. Vertogradov, Gravitation and Cosmology21, 171-174 (2015)

  • [126]

    G. Gyulchevet al., Eur. Phys. J. C80, 1017 (2020)

  • [127]

    R. Shaikh and P. S. Joshi, JCAP10, 064 (2019)

  • [128]

    R. Shaikhet al., MNRAS482, 52 (2019)

  • [129]

    P. S. Joshiet al., Class. Quantum Gravit.28, 235018 (2011)

  • [130]

    P. S. Joshiet al., Class. Quantum Gravit.31, 015002 (2014)

  • [131]

    K. Bhattacharyaet al., Phys. Rev. D101, 043005 (2020)

  • [132]

    Z. Kovacs and T. Harko, Phys. Rev. D82, 124047 (2010)

  • [133]

    N. Ortizet al., Class. Quantum Gravit.32, 247001 (2015)

  • [134]

    V. Vertogradov, Int. J. Mod. Phys. A33, 1850102 (2018)

  • [135]

    V. Vertogradov, Gravit. and Cosmo.22, 220-223 (2016)

  • [136]

    K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D65, 103004 (2002)

  • [137]

    R. Shaikhet al., Phys. Rev. D99, 104040 (2019)

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