Built on

S. W. Hawking and G. F. R. Ellis, “The Large scale structure of space-time,” Cambridge University Press, Cambridge, 1973
1973
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.
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta and C. N. Pope et al
1999
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is Noether charge”, Phys. Rev
2001
Earlier work this paper cites.
I. R. Klebanov and J. M. Maldacena, “Superconformal gauge theories and non-critical superstrings,” Int. J. Mod. Phys. A 19
2004
Earlier work this paper cites.
G. W. Gibbons, R. Kallosh and B. Kol, “Moduli, scalar charges, and the first law of black hole thermodynamics,” Phys. Rev. Lett. 77
2006
Earlier work this paper cites.
R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11
Original
2008
Earlier work this paper cites.
H. K. Kunduri, J. Lucietti and H. S. Reall, “Near-horizon symmetries of extremal black holes,” Class. Quant. Grav. 24
Original
2008
Earlier work this paper cites.

Similar

R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11
Original
2008
Cited alongside, same era.
“Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D = 3,6 SCFT’s,” Phys. Rev. D 81
Original
2010
Cited alongside, same era.
M. M. Sheikh-Jabbari and H. Yavartanoo, “EVH Black Holes, AdS3 Throats and EVH/CFT Proposal,” JHEP 1110
Original
2011
Cited alongside, same era.
T. Azeyanagi, N. Ogawa and S. Terashima, “Emergent AdS 3 in the Zero Entropy Extremal Black Holes,” JHEP 1103
Original
2011
Cited alongside, same era.
J. de Boer, M. M. Sheikh-Jabbari and J. Simon, “Near Horizon Limits of Massless BTZ and Their CFT Duals,” Class. Quant. Grav. 28

Then

H. Yavartanoo, “EVH black hole solutions with higher derivative corrections,” Eur. Phys. J. C 72
Original
2012
Later among the works it cites.
M. Johnstone, M. M. Sheikh-Jabbari, J. Simon and H. Yavartanoo, “Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals,” JHEP 1304
Original
2013
Later among the works it cites.
H. Golchin, M. M. Sheikh-Jabbari and A. Ghodsi, “Dual 2d CFT Identification of Extremal Black Rings from Holes,” JHEP 1310
Original
2013
Later among the works it cites.
H. K. Kunduri and J. Lucietti, “Classification of near-horizon geometries of extremal black holes,”Living Rev. Rel. 16
Original
2013
Later among the works it cites.
M. Johnstone, M. M. Sheikh-Jabbari, J. Simon and H. Yavartanoo, “Extremal black holes and the first law of thermodynamics,” Phys. Rev. D 88

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2014

On Classification of Geometries with SO(2,2) Symmetry

Sadeghian, S., Sheikh-Jabbari, M. M., Yavartanoo, H.

Understand

Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal, we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton (EMD) theory with positive, zero or negative cosmological constant Lambda, the EMD-$\Lambda$ theory, and also $U(1)^4$ gauged supergravity in four dimensions and $U(1)^3$ gauged supergravity in five dimensions.

In four dimensions the geometries are warped product of AdS3 with an interval or a circle.
In five dimensions the geometries are of the form of warped product of AdS3 and a 2d surface $\Sigma_2$.
For the Einsten-Maxwell-$\Lambda$ theory we prove that $\Sigma_2$ should have a U(1) isometry, a rigidity theorem in this class of solutions.

Built on

S. W. Hawking and G. F. R. Ellis, “The Large scale structure of space-time,” Cambridge University Press, Cambridge, 1973
1973
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.
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta and C. N. Pope et al
1999
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is Noether charge”, Phys. Rev
2001
Earlier work this paper cites.
I. R. Klebanov and J. M. Maldacena, “Superconformal gauge theories and non-critical superstrings,” Int. J. Mod. Phys. A 19
2004
Earlier work this paper cites.
G. W. Gibbons, R. Kallosh and B. Kol, “Moduli, scalar charges, and the first law of black hole thermodynamics,” Phys. Rev. Lett. 77
2006
Earlier work this paper cites.
R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11
Original
2008
Earlier work this paper cites.
H. K. Kunduri, J. Lucietti and H. S. Reall, “Near-horizon symmetries of extremal black holes,” Class. Quant. Grav. 24
Original
2008
Earlier work this paper cites.