[1] B. Carter, Phys. Rev. 174, 1559 (1968), Global Structure of the Kerr Family of Gravitational Fields.
[2] B. Carter, Commun. Math. Phys. 10, 280 (1968), Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations.
[3] M. Walker and R. Penrose, Commun. Math. Phys. 18, 265 (1970), On quadratic first integrals of the geodesic equations for type [22] spacetimes.
[4] S. Teukolsky, Phys. Rev. Lett. 29, 1114 (1972), Rotating black holes - separable wave equations for gravitational and electromagnetic perturbations.
[5] S. A. Teukolsky, Astrophys. J. 185, 635 (1973), Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations.
[6] S. Aksteiner and T. B¨ackdahl, J. Math. Phys. 60, 082501 (2019), arXiv:1609.04584, Symmetries of linearized gravity from adjoint operators.
[7] B. Araneda, Class. Quant. Grav. 34, 035002 (2017), arXiv:1610.00736, Symmetry operators and decoupled equations for linear fields on black hole spacetimes.
[8] W. Unruh, Phys. Rev. Lett. 31, 1265 (1973), Separability of the Neutrino Equations in a Kerr Background.
[9] S. Chandrasekhar, Proc. Roy. Soc. Lond. A 349, 571 (1976), The Solution of Dirac’s Equation in Kerr Geometry.
[10] D. N. Page, Phys. Rev. D 14, 1509 (1976), Dirac Equation Around a Charged, Rotating Black Hole.
[11] G. Silva-Ortigoza, J. Math. Phys. 36, 6929 (1995), Killing spinors and separability of Rarita-Schwinger’s equation in type (2,2) backgrounds.
[12] L. Kegeles and J. Cohen, Phys. Rev. D 19, 1641 (1979), CONSTRUCTIVE PROCEDURE FOR PERTURBATIONS OF SPACE-TIMES.
[13] V. Frolov, P. Krtous, and D. Kubiznak, Living Rev. Rel. 20, 6 (2017), arXiv:1705.05482, Black holes, hidden symmetries, and complete integrability
[14] O. Lunin, JHEP 12, 138 (2017), arXiv:1708.06766, Maxwell’s equations in the MyersPerry geometry.
[15] P. Krtouˇs, V. P. Frolov, and D. Kubizˇn´ak, Nucl. Phys. B 934, 7 (2018), arXiv:1803.02485, Separation of Maxwell equations in Kerr–NUT–(A)dS spacetimes.
[16] V. P. Frolov, P. Krtouˇs, D. Kubizˇn´ak, and J. E. Santos, Phys. Rev. Lett. 120, 231103 (2018), arXiv:1804.00030, Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes.
[17] V. P. Frolov and P. Krtouˇs, Phys. Rev. D 99, 044044 (2019), arXiv:1812.08697, Duality and µ separability of Maxwell equations in Kerr-NUT-(A)dS spacetimes.
[18] T. Houri, N. Tanahashi, and Y. Yasui, Class. Quant. Grav. 37, 015011 (2020), arXiv:1908.10250, On symmetry operators for the Maxwell equation on the KerrNUT-(A)dS spacetime.
[19] A. Breev and A. Shapovalov, J. Phys. Conf. Ser. 670, 012015 (2016), arXiv:1509.08612, The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration.
[20] V. P. Frolov, P. Krtouˇs, and D. Kubizˇn´ak, Phys. Rev. D 97, 101701 (2018), arXiv:1802.09491, Separation of variables in Maxwell equations in Pleba´nskiDemia´nski spacetime.
[21] T. Houri, N. Tanahashi, and Y. Yasui, Class. Quant. Grav. 37, 075005 (2020), arXiv:1910.13094, Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime.
[22] O. Lunin, JHEP 10, 030 (2019), arXiv:1907.03820, Excitations of the Myers-Perry Black Holes.
[23] O. A¸cık and U. Ertem, Phys. Rev. D 98, 066004 (2018), arXiv:1712.01594, Spin raising and lowering operators for Rarita-Schwinger fields.
[24] V. Cardoso, T. Houri, and M. Kimura, Phys. Rev. D 96, 024044 (2017), arXiv:1706.07339, Mass Ladder Operators from Spacetime Conformal Symmetry.
[25] V. Cardoso, T. Houri, and M. Kimura, Class. Quant. Grav. 35, 015011 (2018), arXiv:1707.08534, General first-order mass ladder operators for Klein–Gordon fields.
[26] W. M¨uck, Phys. Rev. D 97, 025011 (2018), arXiv:1710.01283, Ladder operators for the Klein-Gordon equation with a scalar curvature term.
[27] Y. Michishita, Class. Quant. Grav. 36, 055010 (2019), arXiv:1810.07923, On quantum numbers for Rarita–Schwinger fields.
[28] Y. Michishita, Phys. Rev. D100, 124052 (2019), arXiv:1909.12439, First Order Symmetry Operators for the Linearized Field Equation of Metric Perturbations.
[29] Y. Michishita, (2020), arXiv:2008.07156, On First Order Symmetry Operators for the Field Equations of Differential Forms.
[30] M. Tsuchiya, T. Houri, and C.-M. Yoo, (2020), arXiv:2011.03973, The First Order Symmetry Operator on Gravitational Perturbations in the 5-dimensional Myers-Perry Spacetime with Equal Angular Momenta.
[31] A. Ishibashi and H. Kodama, Prog. Theor. Phys. Suppl. 189, 165 (2011), arXiv:1103.6148, Perturbations and Stability of Static Black Holes in Higher Dimensions.
[32] V. D. Sandberg, Journal of Mathematical Physics 19, 2441 (1978), https://doi.org/10.1063/1.523649, Tensor spherical harmonics on S2 and S3 as eigenvalue problems.
[33] L. Lindblom, N. W. Taylor, and F. Zhang, Gen. Rel. Grav. 49, 139 (2017), arXiv:1709.08020, Scalar, Vector and Tensor Harmonics on the Three-Sphere.
[34] B. Hu, J. Math. Phys. 15, 1748 (1974), Separation of tensor equations in a homogeneous space by group theoretical methods.
[35] K. Murata and J. Soda, Class. Quant. Grav. 25, 035006 (2008), arXiv:0710.0221, A Note on separability of field equations in Myers-Perry spacetimes.
[36] K. Murata and J. Soda, Prog. Theor. Phys. 120, 561 (2008), arXiv:0803.1371, Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta.
[37] T. Houri, T. Oota, and Y. Yasui, Class. Quant. Grav. 26, 045015 (2009), arXiv:0805.3877, Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime.
[38] P. Krtous, V. P. Frolov, and D. Kubiznak, Phys. Rev. D 78, 064022 (2008), arXiv:0804.4705, Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of the Kerr-NUT-(A)dS spacetime.
[39] J. Ben Achour, E. Huguet, J. Queva, and J. Renaud, J. Math. Phys. 57, 023504 (2016), arXiv:1505.03426, Explicit vector spherical harmonics on the 3-sphere.