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

J. Magueijo and L. Smolin, Phys. Rev. D 67, 044017 (2003)

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

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

D. Kimberly et al., Phys. Rev. D 70, 084007 (2004)

G. Amelino-Camelia, Phys. Lett. B 510, 255 (2001)

Y. Ling, X. Li, and H. Zhang, Mod. Phys. Lett. A 22, 2749 (2007)

V. A. Kostelecky and S. Samuel, Phys. Rev. D 39, 683 (1989)

R. Gambini and J. Pullin, Phys. Rev. D 59, 124021 (1999)

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

S. H. Hendi et al., Nucl. Phys. B 914, 117 (2017)

A. F. Ali, Phys. Rev. D 89, 104040 (2014)

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

Y. Heydarzade et al., Phys. Lett. B 774, 46 (2017)

Y. Heydarzade et al., JCAP 06, 038 (2018)

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

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

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

S. Perlmutter et al., Nature 391, 51 (1998)

S. Perlmutter et al., Astrophys. J. 517, 565 (1999)

J. L. Tonry et al., Astrophys. J. 594, 1 (2003)

A. I. Vainshtein, Phys. Lett. B 39, 393 (1972)

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

D. G. Boulware and S. Deser, Phys. Rev. D 6, 3368 (1972)

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

G. D’Amico, C. de Rham, S. Dubovsky et al., Phys. Rev. D 84, 124046 (2011)

C. de Rham, G. Gabadadze, and A. J. Tolley, Phys. Lett. B 711, 190 (2012)

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

S. F. Hassan, A. Schmidt-May, and M. von Strauss, Phys. Lett. B 715, 335 (2012)

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

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

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

A. F. Ali et al., EPL 109, 20001 (2015)

A. F. Ali et al., Nucl. Phys. B 894, 341 (2015)

A. F. Ali et al., Nucl. Phys. B 743, 295 (2015)

S. H. Hendi and M. Faizal, Phys. Rev. D 92, 044027 (2015)

S. H. Hendi et al., Eur. Phys. J. C 76, 296 (2016)

S. H. Hendi et al., Phys. Rev. D 94, 024028 (2016)

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

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

P. Rudra et al., Nucl. Phys. B 909, 725 (2016)

A. Ashour et al., Eur. Phys. J. C 76, 264 (2016)

C. E. Mota et al., Phys. Rev. D 100, 024043 (2019)

S. Panahiyan et al., Nucl. Phys. B 938, 388 (2019)

P. Channuie, Eur. Phys. J. C 79, 508 (2019)

Y. Gim and B. Gwak, Phys. Lett. B 794, 122 (2019)

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

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

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

P. C. Vaidya, Proc. Ind. Acad. Sci. A 33, 264 (1951)

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)

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

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

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

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

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

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

P. C. Vaidya, APJ 144, 3 (1966)

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

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

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

M. D. Mkenyeleye, R. Goswami, and S. D. Maharaj, Phys. Rev. D 90, 064034 (2014)

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

R. J. Caginalp, Phys. Rev. D 101, 026010 (2020)

D. Momeni et al., Phys. Lett. B 762, 276 (2016)

R. Sharma et al., Ann. Phys. 414, 168079 (2020)

G. Manna, P. Majumdar, and B. Majumder, Phys. Rev. D 101, 124034 (2020)

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

G. Manna, Eur. Phys. J. C 80, 813 (2020)

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

W. Heisenberg, Zeit. Phys. A: Hadrons and Nuclei 113, 1 (1939)

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

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

E. Babichev, V. Mukhanov, and A. Vikman, JHEP 09, 061 (2006)

E. Babichev, M. Mukhanov, and A. Vikman, JHEP 0802, 101 (2008)

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

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)

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

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

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

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

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

S. X. Tian and Zong-Hong Zhu, Phys. Rev. D 103, 043518 (2021)

N. Bahcall et al, Science 284, 1481-1488, (1999) and references therein

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

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

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

S. Nojiri et. al, Nuclear Physics B 941, 11-27 (2019)

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

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

L. P. Chimento and A. Feinstein, Mod. Phys. Lett. A 19, 761 (2004)

R. Akhoury et al., JHEP 04, 96 (2011)

R. Gannouji and Y. R. Baez, JHEP 07, 132 (2020)

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

P. Galan and G. A. Mena Marugan, Phys. Rev. D 70, 124003 (2004)

J. Hackett, Class. Quantum Gravity 23, 3833 (2006)

F. Girelli, S. Liberati, and L. Sindoni, Phys. Rev. D 75, 064015 (2007)

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

H. Li, Y. Ling, and X. Han, Class. Quantum Gravity 26, 065004 (2009)

R. Garattini and G. Mandanici, Phys. Rev. D 85, 023507 (2012)

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

G. Amelino-Camelia, J. R. Ellis, N. E. Mavromatos et al., Int. J. Mod. Phys. A 12, 607 (1997)

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

G. Amelino-Camelia, J. R. Ellis, N. E. Mavromatos et al., Nature 393, 763 (1998)

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

S. H. Hendi et al., Phys. Rev. D 95, 084036 (2017)

R. G. Cai, Y. P. Hu, Q. Y. Pan et al., Phys. Rev. D 91, 024032 (2015)

D. Vegh, arXiv: 1301.0537 (2013)

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

D. M. Eardley and L. Smarr, Phys. Rev. D 19, 2239 (1979)

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

P. S. Joshi and T. P. Singh, Phys. Rev. D 51, 6778 (1995)

G. Amelino-Camelia, J. Lukierski, and A. Nowicki, Int. J. Mod. Phys. A 14, 4575 (1999)

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)

F. J. Tipler, Phys. Lett. A 64, 8 (1977)

S. G. Ghosh and N. Dadhich, Phys. Rev. D 64, 047501 (2001)

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

A. Ashtekar and B. Krishnan, Phys. Rev. D 68, 104030 (2003)

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

A. Ashtekar and B. Krishnan, Living Rev. Relativity 7, 10 (2004)

S. A. Hayward, Phys. Rev. D 49, 6467 (1994)

S. Sawayama, Phys. Rev. D 73, 064024 (2006)

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

A. A. Grib et al., arXiv: 1401.0368v1 (2014).

V. D. Vertogradov, Gravitation and Cosmology 21, 171-174 (2015)

G. Gyulchev et al., Eur. Phys. J. C 80, 1017 (2020)

R. Shaikh and P. S. Joshi, JCAP 10, 064 (2019)

R. Shaikh et al., MNRAS 482, 52 (2019)

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

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

K. Bhattacharya et al., Phys. Rev. D 101, 043005 (2020)

Z. Kovacs and T. Harko, Phys. Rev. D 82, 124047 (2010)

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

V. Vertogradov, Int. J. Mod. Phys. A 33, 1850102 (2018)

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

K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D 65, 103004 (2002)

R. Shaikh et al., Phys. Rev. D 99, 104040 (2019)