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R. Emparan and K. Tanabe, “Universal quasinormal modes of large D black holes,” Phys. Rev. D 89
Original
1957
Earlier work this paper cites.
B. Kleihaus, J. Kunz and E. Radu, “New nonuniform black string solutions,” JHEP 0606
Original
1981
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. Emparan and N. Haddad, “Self-similar critical geometries at horizon intersections and mergers,” JHEP 1110
Original
1983
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. 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. 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.
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.

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2015

Emparan, Roberto, Shiromizu, Tetsuya, Suzuki, Ryotaku et al.

The gravitational field of a black hole is strongly localized near its horizon when the number of dimensions D is very large.

In this limit, we can effectively replace the black hole with a surface in a background geometry (eg Minkowski or Anti-deSitter space).
The Einstein equations determine the effective equations that this 'black hole surface' (or membrane) must satisfy.
We obtain them up to next-to-leading order in 1/D for static black holes of the Einstein-(A)dS theory.

R. Emparan and K. Tanabe, “Universal quasinormal modes of large D black holes,” Phys. Rev. D 89
Original
1957
Earlier work this paper cites.
B. Kleihaus, J. Kunz and E. Radu, “New nonuniform black string solutions,” JHEP 0606
Original
1981
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. Emparan and N. Haddad, “Self-similar critical geometries at horizon intersections and mergers,” JHEP 1110
Original
1983
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. 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. 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.
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.

S. S. Gubser, “On nonuniform black branes,” Class. Quant. Grav. 19
2002
Cited alongside, same era.
R. Emparan, A. Fabbri and N. Kaloper, “Quantum black holes as holograms in AdS brane worlds,” JHEP 0208
2002
Cited alongside, same era.
T. Wiseman, “Static axisymmetric vacuum solutions and nonuniform black strings,” Class. Quant. Grav. 20
2003
Cited alongside, same era.
T. Tanaka, “Classical black hole evaporation in Randall-Sundrum infinite brane world,” Prog. Theor. Phys. Suppl. 148
2003
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.