- [1]
S. Weinberg,Gravitation and Cosmology(First edition, New York: John Wiley & Sons, 1972), p.1
- [2]
S. Weinberg,The quantum theory of fields, Vol. 1(First edition, Cambridge: Cambridge University Press, 2013), p.1
- [3]
R. Gambini, J. Pullin, Phys. Rev. D59, 124021 (1999)
- [4]
J. Alfaro, H. A. Morales-Técotl, and L. F. Urrutia, Phys. Rev. D65, 103509 (2002)
- [5]
V. A. Kostelecký, S. Samuel, Phys. Rev. D39, 683 (1989)
- [6]
D. Colladay, V. A. Kostelecký, Phys. Rev. D,55: 6760 (1997); Phys. Rev. D,58: 116002 (1998)
- [7]
Pierre Auger Collaboration, Phys. Lett. B685, 239 (2010)
- [8]
G. Amelino-Camelia, J. Ellis, N. E. Mavromatoset al., Nature393, 763 (1998)
- [9]
P. Laurent, D. Götz, P. Binétruyet al., Phys. Rev. D83, 121301 (2011)
- [10]
H. Martinez-Huerta, A. Pérez-Lorenzana, Phys. Rev. D95, 063001 (2017)
- [11]
K. Astapov, D. Kirpichnikov, P. Satunin, JCAP4, 54 (2019)
- [12]
L.A. Anchordoqui and J.F. Soriano, Phys. Rev. D97, 043010 (2018)
- [13]
Z. Cao et.al., Phys. Rev. Lett.133, 071501 (2024)
- [14]
V. A. Kostelecký and M. Mewes, Phys. Rev. D,80: 015020 (2009); Phys. Rev. D,88: 096006 (2013); V. A. Kostelecký and Z. Li, Phys. Rev. D,99: 056016 (2019)
- [15]
V. A. Kostelecký, Phys. Rev. D69, 105009 (2004)
- [16]
Q. G. Bailey and V. A. Kostelecký, Phys. Rev. D74, 045001 (2006)
- [17]
V.A. Kostelecký, N. Russell, and J.D. Tasson, Phys. Rev. Lett.,100: 111102 (2008); Phys. Rev. D,83: 016013 (2011)
- [18]
J. P. Kaufman, B. G. Keating1 and B. R. Johnson, Mon. Not. Roy. Astron. Soc.455, 2 (2016)
- [19]
L. Caloni, S. Giardiello, M. Lemboet al., JCAP2023(3), 18 (2023)
- [20]
V. Alan Kostelecký, Matthew Mewes, Phys. Rev. D85, 096005 (2012)
- [21]
S. Mirshekari, N. Yunes, and C.M. Will, Phys. Rev. D85, 024041 (2012)
- [22]
K. Akiyamaet al.[The Event Horizon Telescope Collaboration], Astrophys. J. Lett.,875: L1 (2019); Astrophys. J. Lett.,930: L12 (2022)
- [23]
M. D. Johnson, A. Lupsasca, A. Stromingeret al., Sci. Adv.6, eaaz1310 (2020)
- [24]
D. Liang, Y. Gong, S. Houet al., Phys. Rev. D95, 104034 (2017)
- [25]
Z. Xiao and H. Wang, Phys. Rev. D111, 095014 (2025)
- [26]
Y. Itin, Phys. Rev. D76, 087505 (2007)
- [27]
S. Chandrasekhar, Proc. R. Soc. Lond. A349, 1 (1976)
- [28]
J. M. Cohen, R. M. Wald, J. Math. Phys.12, 1845 (1971)
- [29]
J. M. Cohen, L. S. Kegeles, C. V. Vishveshwaraet al., Ann. Phys82, 597 (1974)
- [30]
E.T. Newman, R. Penrose, J. Math. Phys.3, 566 (1962)
- [31]
J. Bicak, L. Dvorak, J. Czech. Phys. B27, 127 (1977)
- [32]
J. Bicak, L. Dvorak, Phys. Rev. D22, 2933 (1980)
- [33]
J. Bicak, L. Dvorak, Gen. Relativ. Gravit12, 959 (1976)
- [34]
S. M. Carroll, G. B. Field, and R. Jackiw, Phys. Rev. D,55: 6760 (1997); Phys. Rev. D,41: 1231 (1990)
- [35]
S. Chandrasekhar,The Mathematical Theory of Black Holes(Fitst edition, Oxford: Oxford University Press, 1983), p.1
- [36]
C. M. Will,Theory and Experiment in Gravitational Physics(First edition, Cambridge: Cambridge University Press, 2018)
- [37]
J. N. Goldberg, A. J. Macfarlane, E.T. Newmanet al., J. Math. Phys.8, 2155 (1967)
- [38]
S. A. Teukolsky, Astrophys. J185, 635 (1973)
- [39]
F. Duenkel, M. Niechciol, M. Risse, Phys. Rev. D107, 083004 (2023)
- [40]
F. Kislat, H. Krawczynski , Phys. Rev. D95, 105012 (2022)
- [41]
E.A. Coddington,An Introduction to Ordinary Differential Equations(First edition, Englewood Cliffs: Prentice-Hail, 1961), p. 103
- [42]
R. Lehnert, R. Potting, Phys. Rev. Lett,93: 110402 (2004); R. Bufaloa, A.F. Santosb, Phys. Lett. B,832(2022) 137231
- [43]
S. Karki, B. Altschul, Phys. Rev. D102, 035009 (2020)
- [44]
K. Schober and B. Altschul, Phys. Rev. D92, 125016 (2015)
- [45]
J.O. Connor and B. Altschul, Phys. Rev. D109, 045005 (2024)
- [46]
V. A. Kostelecký and N. Russell, Rev. Mod. Phys83, 11 (2011), arXiv: 0801.0287, v[18]
- [47]
V. A. Kostelecký and J.D. Tasson, Phys. Rev. Lett.102, 010402 (2009)