Algebraically special perturbations of the Schwarzschild solution in higher dimensions

K. Yano and T. Nagano, ”Einstein spaces admitting a one-parameter group of conformal transformations”, Annals of Mathematics 69

1959

Earlier work this paper cites.

I. Robinson and A. Trautman, “Some spherical gravitational waves in general relativity,” Proc. Roy. Soc. Lond. A 265

1962

Earlier work this paper cites.

R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Phys. Rev. Lett. 11

1963

Earlier work this paper cites.

B. Carter, “Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations,” Commun. Math. Phys. 10

1968

Earlier work this paper cites.

W. Kinnersley, “Type D Vacuum Metrics,” J. Math. Phys. 10

1969

Earlier work this paper cites.

F. J. Zerilli, “Gravitational field of a particle falling in a schwarzschild geometry analyzed in tensor harmonics,” Phys. Rev. D 2

1970

Earlier work this paper cites.

S. A. Teukolsky, “Rotating black holes - separable wave equations for gravitational and electromagnetic perturbations,” Phys. Rev. Lett. 29

1972

Earlier work this paper cites.

R.M. Wald, ”On perturbations of a Kerr black hole,” J. Math. Phys. 14

1973

Earlier work this paper cites.

W. E. Couch and E. T. Newman, “Algebraically special perturbations of the Schwarzschild metric,” J. Math. Phys. 14

1973

Earlier work this paper cites.

Journal of Mathematical Physics 14

Original

R. Geroch, A. Held, and R. Penrose, “A spacetime calculus based on pairs of null directions”, · 1973

Earlier work this paper cites.

F. A. Bais and P. Batenburg, “A New Class Of Higher Dimensional Kaluza-klein Monopole And Instanton Solutions,” Nucl. Phys. B 253

1985

Earlier work this paper cites.

R. C. Myers and M. J. Perry, “Black holes in higher dimensional space-times,” Annals Phys. 172

1986

Earlier work this paper cites.

S. W. Hawking, C. J. Hunter and M. Taylor, “Rotation and the AdS/CFT correspondence,” Phys. Rev. D 59

1999

Earlier work this paper cites.

H. Kodama, A. Ishibashi and O. Seto, “Brane world cosmology: Gauge invariant formalism for perturbation,” Phys. Rev. D 62

2000

Earlier work this paper cites.

A. Maassen van den Brink, Phys. Rev. D 62

2000

Cited alongside, same era.

V. Cardoso and J. P. S. Lemos, “Quasinormal modes of Schwarzschild anti-de Sitter black holes: Electromagnetic and gravitational perturbations,” Phys. Rev. D 64

2001

Cited alongside, same era.

P. -J. De Smet, “Black holes on cylinders are not algebraically special,” Class. Quant. Grav. 19

2002

Cited alongside, same era.

G. Gibbons and S. A. Hartnoll, “A gravitational instability in higher dimensions,” Phys. Rev. D 66

2002

Cited alongside, same era.

Exact solutions of Einstein’s field equations

H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, · 2003

Cited alongside, same era.

H. Kodama, A. Ishibashi, “A Master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions,” Prog. Theor. Phys. 110

G. W. Gibbons, H. Lu, D. N. Page and C. N. Pope, “The general Kerr-de Sitter metrics in all dimensions,” J. Geom. Phys. 53

2005

Later among the works it cites.

K. Martel and E. Poisson, “Gravitational perturbations of the Schwarzschild spacetime: A Practical covariant and gauge-invariant formalism,” Phys. Rev. D 71

2005

Later among the works it cites.

J. Podolsky and M. Ortaggio, “Robinson-Trautman spacetimes in higher dimensions,” Class. Quant. Grav. 23

2006

Later among the works it cites.

N. Hamamoto, T. Houri, T. Oota and Y. Yasui, “Kerr-NUT-de Sitter curvature in all dimensions,” J. Phys. A 40

2007

Later among the works it cites.

H. Kodama, “Accelerating a Black Hole in Higher Dimensions,” Prog. Theor. Phys. 120

Original

2008

Later among the works it cites.