\begin{document}$ R=0 $\end{document}. In this context, the zero-scalar-curvature condition acts as a constraint. Owing to this condition, we refer to the class of black holes as the "Newman-Janis class of Schwarzschild black holes" to emphasize the potential of the Newman-Janis algorithm as a classification tool for axisymmetric black holes. The general complex transformation we derive not only generates the Kerr, Taub-NUT, and Kerr-Taub-NUT black holes under specific choices of parameters but also suggests the existence of additional axisymmetric black holes. Our findings create an alternative avenue using the Newman-Janis algorithm to construct new axisymmetric black holes."> Axisymmetric generalization of zero-scalar-curvature solutions from the Schwarzschild metric via the Newman-Janis algorithm -
  • [1]

    E. T. Newman and A. I. Janis, J. Math. Phys.6, 915 (1965)

  • [2]

    H. Erbin, Universe3(1), 19 (2017), arXiv: 1701.00037[gr-qc]

  • [3]

    S. Alexander and N. Yunes, Phys. Rept.480, 1 (2009), arXiv: 0907.2562[hep-th]

  • [4]

    E. Newman and R. Penrose, J. Math. Phys.3, 566 (1962)

  • [5]

    H. Erbin, Gen. Rel. Grav.47, 19 (2015), arXiv: 1410.2602[gr-qc]

  • [6]

    M. Azreg-Aïnou, Phys. Rev. D90(6), 064041 (2014), arXiv: 1405.2569[gr-qc]

  • [7]

    E. T. Newman, R. Couch, K. Chinnaparedet al., J. Math. Phys.6, 918 (1965)

  • [8]

    T. Adamo and E. T. Newman, Scholarpedia9, 31791 (2014), arXiv: 1410.6626[gr-qc]

  • [9]

    T. Johannsen and D. Psaltis, Phys. Rev. D83, 124015 (2011), arXiv: 1105.3191[gr-qc]

  • [10]

    C. Bambi, Rev. Mod. Phys.89(2), 025001 (2017), arXiv: 1509.03884[gr-qc]

  • [11]

    R. Konoplya, L. Rezzolla, and A. Zhidenko, Phys. Rev. D93(6), 064015 (2016), arXiv: 1602.02378[gr-qc]

  • [12]

    N. Arkani-Hamed, Y. t. Huang, and D. O’Connell, JHEP01, 046 (2020), arXiv: 1906.10100[hep-th]

  • [13]

    V. Perlick and O. Y. Tsupko, Phys. Rept.947, 1 (2022), arXiv: 2105.07101[gr-qc]

  • [14]

    L. Modesto and P. Nicolini, Phys. Rev. D82, 104035 (2010), arXiv: 1005.5605[gr-qc]

  • [15]

    C. Bambi and L. Modesto, Phys. Lett. B721, 329 (2013), arXiv: 1302.6075[gr-qc]

  • [16]

    B. Toshmatov, Z. Stuchlxık, and B. Ahmedov, Phys. Rev. D95(8), 084037 (2017), arXiv: 1704.07300[gr-qc]

  • [17]

    A. Kamenshchik and P. Petriakova, Phys. Rev. D107(12), 124020 (2023), arXiv: 2305.04697[gr-qc]

  • [18]

    S. P. Drake and P. Szekeres, Gen. Rel. Grav.32, 445 (2000), arXiv: gr-qc/9807001

  • [19]

    P. Beltracchi and P. Gondolo, Phys. Rev. D104(12), 124066 (2021), arXiv: 2104.02255[gr-qc]

  • [20]

    C. Lan, M. H. Li, and Y. G. Miao, Phys. Rev. D110(4), 044045 (2024), arXiv: 2312.05457[gr-qc]

  • [21]

    M. Gurses and G. Feza, J. Math. Phys.16, 2385 (1975)

  • [22]

    I. Dymnikova and E. Galaktionov, Class. Quant. Grav.32(16), 165015 (2015), arXiv: 1510.01353[gr-qc]

  • [23]

    H. Erbin and L. Heurtier, Class. Quant. Grav.32(16), 165004 (2015), arXiv: 1411.2030[gr-qc]

  • [24]

    J. B. Griffiths and J. Podolsky,Exact Space-Times in Einstein’s General Relativity, (Cambridge: Cambridge University Press, 2009).

  • [25]

    E. Curiel, Einstein Stud.13, 43 (2017), arXiv: 1405.0403[physics.hist-ph]

  • [26]

    E. A. Kontou and K. Sanders, Class. Quant. Grav.37(19), 193001 (2020), arXiv: 2003.01815[gr-qc]

  • [27]

    L. Zhao,Introduction to Relativity and Gravity (in Chinese), (Beijing: Science Press, 2016)

  • [28]

    B. Chen,Introduction to General Relativity (in Chinese), (Beijing: Beijing University Press, 2022)

  • [29]

    C. Lan and Y. G. Miao, Chin. Phys. Lett.40(12), 120401 (2023)

  • [30]

    C. Lan, H. Yang, Y. Guoet al., Int. J. Theor. Phys.62(9), 202 (2023), arXiv: 2303.11696[gr-qc]

  • [31]

    E. Ayon-Beato and A. Garcia, Phys. Rev. Lett.80, 5056 (1998), arXiv: gr-qc/9911046

  • [32]

    J. Lewandowski, Y. Ma, J. Yanget al., Phys. Rev. Lett.130(10), 101501 (2023), arXiv: 2210.02253[gr-qc]

  • [33]

    C. Zhang, J. Lewandowski, Y. Maet al., Phys. Rev. D111(8), L081504 (2025), arXiv: 2407.10168[gr-qc]

  • [34]

    Z. Shi, X. Zhang, and Y. Ma, Phys. Rev. D110(10), 104074 (2024), arXiv: 2408.15821[gr-qc]

  • [35]

    J. Lin and X. Zhang, Phys. Rev. D110(2), 026002 (2024), arXiv: 2402.13638[gr-qc]

Baidu
map