Built on

O. J. C. Dias, P. Figueras, R. Monteiro and J. E. Santos, “Ultraspinning instability of rotating black holes,” Phys. Rev. D 82
Original
1904
Earlier work this paper cites.
R. Emparan and K. Tanabe, “Universal quasinormal modes of large D black holes,” Phys. Rev. D 89
Original
1957
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics,” Commun. Math. Phys. 31
1973
Earlier work this paper cites.
T. Damour, “Surface Effects in Black Hole Physics”, Proceedings of the Second Marcel Grossmann Meeting on General Relativity, (edited by R. Ruffni, North Holland, 1982) p. 587
1982
Earlier work this paper cites.
W. Hsiang, Z. Teng, W. Yu, “Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space,” Proc. Natl. Acad. Sci. USA, 79
1982
Earlier work this paper cites.
R. H. Price and K. S. Thorne, “Membrane Viewpoint on Black Holes: Properties and Evolution of the Stretched Horizon,” Phys. Rev. D 33
1986
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.
R. Gregory and R. Laflamme, “Black strings and p-branes are unstable,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. Emparan, D. Grumiller and K. Tanabe, “Large D gravity and low D strings,” Phys. Rev. Lett. 110
Original
1995
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.
G. W. Gibbons, D. Ida and T. Shiromizu, “Uniqueness and nonuniqueness of static black holes in higher dimensions,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
R. Emparan and R. C. Myers, “Instability of ultra-spinning black holes,” JHEP 0309
2003
Earlier work this paper cites.

Similar

H. Kodama and A. Ishibashi, “A Master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions,” Prog. Theor. Phys. 110
2003
Cited alongside, same era.
D. Gorbonos and B. Kol, “A Dialogue of multipoles: Matched asymptotic expansion for caged black holes,” JHEP 0406
2004
Cited alongside, same era.
H. Kodama and A. Ishibashi, “Master equations for perturbations of generalized static black holes with charge in higher dimensions,” Prog. Theor. Phys. 111
2004
Cited alongside, same era.
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
Cited alongside, same era.
H. Kudoh, “Origin of black string instability,” Phys. Rev. D 73
2006
Cited alongside, same era.

Then

R. Emparan, R. Suzuki and K. Tanabe, “The large D limit of General Relativity,” JHEP 1306
Original
2013
Later among the works it cites.
B. Kleihaus, J. Kunz and E. Radu, “Black rings in six dimensions,” Phys. Lett. B 718
Original
2013
Later among the works it cites.
G. S. Hartnett and J. E. Santos, “Non-Axisymmetric Instability of Rotating Black Holes in Higher Dimensions,” Phys. Rev. D 88
Original
2013
Later among the works it cites.
R. Emparan and K. Tanabe, “Holographic superconductivity in the large D expansion,” JHEP 1401
Original
2014
Later among the works it cites.
R. Emparan, R. Suzuki and K. Tanabe, “Instability of rotating black holes: large D analysis,” JHEP 1406

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2015

Stationary black holes: Large $D$ analysis

Suzuki, Ryotaku, Tanabe, Kentaro

Understand

We consider the effective theory of the large D stationary black hole.

By solving Einstein equation with a cosmological constant using the 1/D expansion in near zone of a black hole we obtain the effective equation for the stationary black hole.
The effective equation describes the Myers-Perry black hole, bumpy black holes and, possibly, the black ring solution as its solutions.
In this effective theory the black hole is represented as the embedded membrane in the background, i.e., Minkowski or Anti-de Sitter spacetime and its mean curvature is given by the redshifted surface gravity by the background geometry and the local Lorentz boost.

Built on

O. J. C. Dias, P. Figueras, R. Monteiro and J. E. Santos, “Ultraspinning instability of rotating black holes,” Phys. Rev. D 82
Original
1904
Earlier work this paper cites.
R. Emparan and K. Tanabe, “Universal quasinormal modes of large D black holes,” Phys. Rev. D 89
Original
1957
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics,” Commun. Math. Phys. 31
1973
Earlier work this paper cites.
T. Damour, “Surface Effects in Black Hole Physics”, Proceedings of the Second Marcel Grossmann Meeting on General Relativity, (edited by R. Ruffni, North Holland, 1982) p. 587
1982
Earlier work this paper cites.
W. Hsiang, Z. Teng, W. Yu, “Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space,” Proc. Natl. Acad. Sci. USA, 79
1982
Earlier work this paper cites.
R. H. Price and K. S. Thorne, “Membrane Viewpoint on Black Holes: Properties and Evolution of the Stretched Horizon,” Phys. Rev. D 33
1986
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.
R. Gregory and R. Laflamme, “Black strings and p-branes are unstable,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. Emparan, D. Grumiller and K. Tanabe, “Large D gravity and low D strings,” Phys. Rev. Lett. 110
Original
1995
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.
G. W. Gibbons, D. Ida and T. Shiromizu, “Uniqueness and nonuniqueness of static black holes in higher dimensions,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
R. Emparan and R. C. Myers, “Instability of ultra-spinning black holes,” JHEP 0309
2003
Earlier work this paper cites.

Similar

H. Kodama and A. Ishibashi, “A Master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions,” Prog. Theor. Phys. 110
2003
Cited alongside, same era.
D. Gorbonos and B. Kol, “A Dialogue of multipoles: Matched asymptotic expansion for caged black holes,” JHEP 0406
2004
Cited alongside, same era.
H. Kodama and A. Ishibashi, “Master equations for perturbations of generalized static black holes with charge in higher dimensions,” Prog. Theor. Phys. 111
2004
Cited alongside, same era.
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
Cited alongside, same era.
H. Kudoh, “Origin of black string instability,” Phys. Rev. D 73
2006
Cited alongside, same era.

Then

R. Emparan, R. Suzuki and K. Tanabe, “The large D limit of General Relativity,” JHEP 1306
Original
2013
Later among the works it cites.
B. Kleihaus, J. Kunz and E. Radu, “Black rings in six dimensions,” Phys. Lett. B 718
Original
2013
Later among the works it cites.
G. S. Hartnett and J. E. Santos, “Non-Axisymmetric Instability of Rotating Black Holes in Higher Dimensions,” Phys. Rev. D 88
Original
2013
Later among the works it cites.
R. Emparan and K. Tanabe, “Holographic superconductivity in the large D expansion,” JHEP 1401
Original
2014
Later among the works it cites.
R. Emparan, R. Suzuki and K. Tanabe, “Instability of rotating black holes: large D analysis,” JHEP 1406

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

E. Berti, V. Cardoso and M. Casals, “Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions,” Phys. Rev. D 73

2006

Cited alongside, same era.

V. Asnin, D. Gorbonos, S. Hadar, B. Kol, M. Levi and U. Miyamoto, “High and Low Dimensions in The Black Hole Negative Mode,” Class. Quant. Grav. 24

Original

2007

Cited alongside, same era.

M. M. Caldarelli, O. J. C. Dias, R. Emparan and D. Klemm, “Black Holes as Lumps of Fluid,” JHEP 0904

Original

2009

Cited alongside, same era.

O. J. C. Dias, P. Figueras, R. Monteiro, J. E. Santos and R. Emparan, “Instability and new phases of higher-dimensional rotating black holes,” Phys. Rev. D 80

Original