\begin{document}$\Omega$\end{document} and the Lyapunov exponent \begin{document}$\lambda$\end{document} of the photon sphere. Both in asymptotically flat and dS spacetimes, we observe spiral-like shapes in the complex quasinormal mode plane. However, the starting point of the shapes does not coincide with the Davies point. Nevertheless, we find a new relation in which the Davies point exactly meets the maximum temperature T in the T-\begin{document}$\Omega$\end{document} and T-\begin{document}$\lambda$\end{document} planes. In a higher-dimensional asymptotically flat spacetime, although there is no spiral-like shape, such a relation still holds. Therefore, we provide a new relation between black hole thermodynamics and dynamics in the eikonal limit. Applying this relation, we can test the thermodynamic property of a black hole using the quasinormal modes."> Null geodesics, quasinormal modes, and thermodynamic phase transition for charged black holes in asymptotically flat and dS spacetimes -
  • [1]

    B. P. Abbottet al. (Virgo, LIGO Scientific), Phys. Rev. Lett.,116: 061102 (2016), arXiv:1602.03837[gr-qc

  • [2]

    K. D. Kokkotas and B. G. Schmidt, Living Rev. Rel.,2: 2 (1999), arXiv:grqc/9909058

  • [3]

    E. Berti, V. Cardoso, and A. O. Starinets, Class. Quant. Grav.,26: 163001 (2009), arXiv:0905.2975[gr-qc

  • [4]

    A. Flachi and J. P. S. Lemos, Phys. Rev. D,87: 024034 (2013), arXiv:1211.6212[gr-qc

  • [5]

    A. Nagar and L. Rezzolla, Class. Quant. Grav.,22: R167 (2005), arXiv:gr-qc/0502064

  • [6]

    C. B. M. H. Chirenti, and L. Rezzolla, Class. Quant. Grav.,24: 4191 (2007), arXiv:0706.1513[gr-qc

  • [7]

    B. Toshmatov, A. Abdujabbarov, Z. Stuchliket al., Phys. Rev. D,91: 083008 (2015), arXiv:1503.05737[gr-qc

  • [8]

    B. Toshmatov, Z. Stuchlik, J. Scheeet al., Phys. Rev. D,93: 124017 (2016), arXiv:1605.02058[gr-qc

  • [9]

    B. Toshmatov, C. Bambi, B. Ahmedovet al., Phys. Rev. D,96: 064028 (2017), arXiv:1705.03654[gr-qc

  • [10]

    E. Berti and K. D. Kokkotas, Phys. Rev. D,71: 124008 (2005), arXiv:gr-qc/0502065

  • [11]

    S. W. Hawking, Commun. Math. Phys.,43: 199 (1975)

  • [12]

    J. Bekenstein, Lett. Nuovo Cim.,4: 737 (1972)

  • [13]

    J. D. Bekenstein, Phys. Rev. D,7: 2333 (1973)

  • [14]

    J. M. Bardeen, B. Carter, and S. Hawking, Commun. Math. Phys.,31: 161 (1973)

  • [15]

    P. C. W. Davies, Proc. Roy. Soc. Lond. A,353: 499 (1977)

  • [16]

    P. C. W. Davies, Rep. Prog. Phys.,41: 1313 (1978)

  • [17]

    P. C. W. Davies, Class. Quant. Grav.,6: 1909 (1989)

  • [18]

    G. Koutsoumbas, S. Musiri, E. Papantonopouloset al., J. High Energy Phys.,0610: 006 (2006), arXiv:hep-th/0606096

  • [19]

    G. Koutsoumbas, E. Papantonopoulos, and G. Siopsis, J. High Energy Phys.,0805: 107 (2008), arXiv:0801.4921[hep-th

  • [20]

    J. Shen, B. Wang, C. Y. Linet al., J. High Energy Phys.,0707: 037 (2007), arXiv:hep-th/0703102

  • [21]

    X. P. Rao, B. Wang, and G. H. Yang, Phys. Lett. B,649: 472 (2007), arXiv:0712.0645[gr-qc

  • [22]

    J. Jing and Q. Pan, Phys. Lett. B,660: 13 (2008), arXiv:0802.0043[gr-qc

  • [23]

    E. Berti and V. Cardoso, Phys. Rev. D,77: 087501 (2008), arXiv:0802.1889[hep-th

  • [24]

    X. He, S.-Chen, B. Wanget al., Phys. Lett. B,665: 392 (2008), arXiv:0802.2449[hep-th

  • [25]

    X. He, B. Wang, and S. Chen, Phys. Rev. D,79: 084005 (2009), arXiv:0811.2322[gr-qc

  • [26]

    K. Lin, J. Li, and N. Yang, Gen. Rel. Grav.,43: (2011)

  • [27]

    Q.-Y. Pan and R.-K. Su, Commun. Theor. Phys.,55: 221 (2011)

  • [28]

    V. Cardoso, A. S. Miranda, E. Bertiet al., Phys. Rev. D,79: 064016 (2009), arXiv:0812.1806[hep-th

  • [29]

    I. Z. Stefanov, S. S. Yazadjiev, and G. G. Gyulchev, Phys. Rev. Lett.,104: 251103 (2010), arXiv:1003.1609[gr-qc

  • [30]

    S.-W. Wei and Y.-X. Liu, Phys. Rev. D,89: 047502 (2014), arXiv:1309.6375[gr-qc

  • [31]

    D. Kubiznak and R. B. Mann, J. High Energy Phys.,1207: 033 (2012), arXiv:1205.0559[hep-th

  • [32]

    S.-W. Wei and Y.-X. Liu, Phys. Rev. D,97: 104027 (2018), arXiv:1711.01522[gr-qc

  • [33]

    S.-W. Wei, Y.-X. Liu, and Y.-Q. Wang, Phys. Rev. D,99: 044013 (2019), arXiv:1807.03455[gr-qc

  • [34]

    C. Bhamidipati and S. Mohapatra, Phys. Lett. B,791: 367 (2019), arXiv:1805.05088[hep-th

  • [35]

    C. J. Goebel, Astrophys. J.,172: L95 (1972)

  • [36]

    B. Mashhoon, Phys. Rev. D,31: 290 (1985)

  • [37]

    S. Iyer, Phys. Rev. D,35: 3632 (1987)

  • [38]

    Y. Decanini, A. Folacci, and B. Raffaelli, Phys. Rev. D,81: 104039 (2010), arXiv:1002.0121[gr-qc

  • [39]

    S. Hod, Eur. Phys. J. C,78: 935 (2018), arXiv:1812.01014[gr-qc

  • [40]

    V. Cardoso, J. L. Costa, K. Destouniset al., Phys. Rev. Lett.,120: 031103 (2018), arXiv:1711.10502[gr-qc

  • [41]

    S. Hod, Nucl. Phys. B,941: 636 (2019), arXiv:1801.07261[gr-qc

  • [42]

    O. J. C. Dias, H. S. Reall, and J. E. Santos, J. High Energy Phys.,1810: 001 (2018), arXiv:1808.02895[gr-qc

  • [43]

    V. Cardoso, J. L. Costa, K. Destouniset al., Phys. Rev. D,98: 104007 (2018), arXiv:1808.03631[gr-qc

  • [44]

    Y. Mo, Y. Tian, B. Wanget al., Phys. Rev. D,98: 124025 (2018), arXiv:1808.03635[gr-qc

  • [45]

    O. J. C. Dias, H. S. Reall, and J. E. Santos, Class. Quant. Grav.,36: 045005 (2019), arXiv:1808.04832[gr-qc

  • [46]

    R. Luna, M. Zilhao, V. Cardosoet al., Phys. Rev. D,99: 064014 (2019), arXiv:1810.00886[gr-qc

  • [47]

    B. Ge, J. Jiang, B. Wanget al., J. High Energ. Phys.,1901: 123 (2019), arXiv:1810.12128[gr-qc

  • [48]

    K. Destounis, Phys. Lett. B,795: 211 (2019), arXiv:1811.10629[gr-qc

  • [49]

    H. Liu, Z. Tang, K. Destouniset al., J. High Energ. Phys.,1903: 187 (2019), arXiv:1902.01865[gr-qc

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