2008

On the existence of a static black hole on a brane

Yoshino, Hirotaka

Understand

We study a static black hole localized on a brane in the Randall-Sundrum (RS) II braneworld scenario.

To solve this problem numerically, we develop a code having the almost 4th-order accuracy.
This code derives the highly accurate result for the case where the brane tension is zero, i.e., the spherically symmetric case.
However, a nonsystematic error is detected in the cases where the brane tension is nonzero.

Built on

J. F. Plebanski and M. Demianski, Rotating, charged, and uniformly accelerating mass in general relativity
1976
Earlier work this paper cites.
R. Wald, General Relativity
1984
Earlier work this paper cites.
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension,
1999
Earlier work this paper cites.
L. Randall and R. Sundrum, An alternative to compactification,
1999
Earlier work this paper cites.
J. Garriga and T. Tanaka, Gravity in the brane-world,
2000
Earlier work this paper cites.
S. B. Giddings, E. Katz and L. Randall, Linearized gravity in brane backgrounds,
2000
Earlier work this paper cites.
S. W. Hawking, T. Hertog and H. S. Reall, Brane new world,
2000
Earlier work this paper cites.
R. Emparan, G. T. Horowitz and R. C. Myers, Exact description of black holes on branes,
2000
Earlier work this paper cites.
R. Emparan, G. T. Horowitz and R. C. Myers, Exact description of black holes on branes. II: Comparison with BTZ black holes and black strings,
2000
Earlier work this paper cites.
N. Dadhich, R. Maartens, P. Papadopoulos and V. Rezania, Black holes on the brane,
2000
Earlier work this paper cites.
T. Shiromizu and M. Shibata, Black holes in the brane world: Time symmetric initial data,
2000
Earlier work this paper cites.
S. Dimopoulos and G. Landsberg, Black holes at the LHC,
2001
Earlier work this paper cites.
T. Shiromizu and D. Ida, Anti-de Sitter no hair, AdS/CFT and the brane-world,
2001
Earlier work this paper cites.
A. Chamblin, H. S. Reall, H. a. Shinkai and T. Shiromizu, Charged brane-world black holes,
2001
Earlier work this paper cites.

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Then

D. Karasik, C. Sahabandu, P. Suranyi and L. C. R. Wijewardhana, Small black holes on branes: Is the horizon regular or singular?,
2004
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P. R. Anderson, R. Balbinot and A. Fabbri, Cutoff AdS/CFT duality and the quest for braneworld black holes,
2005
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A. Flachi and T. Tanaka, Escape of black holes from the brane,
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A. Fabbri, S. Farese, J. Navarro-Salas, G. J. Olmo and H. Sanchis-Alepuz, Semiclassical zero-temperature corrections to Schwarzschild spacetime and holography,
2006
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A. L. Fitzpatrick, L. Randall and T. Wiseman, On the existence and dynamics of braneworld black holes,
2006
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A. Flachi, O. Pujolas, M. Sasaki and T. Tanaka, Black holes escaping from domain walls,
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A. Flachi, O. Pujolas, M. Sasaki and T. Tanaka, Critical escape velocity of black holes from branes,
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A. Fabbri and G. P. Procopio, Quantum Effects in Black Holes from the Schwarzschild Black String?,
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A. Flachi and T. Tanaka, Branes and black holes in collision,
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H. Kodama, Accelerating a Black Hole in Higher Dimensions,
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N. Tanahashi and T. Tanaka, Time-symmetric initial data of large brane-localized black hole in RS-II model,
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R. Gregory, S. F. Ross and R. Zegers, Classical and quantum gravity of brane black holes,
2037
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M. J. Duff and J. T. Liu, Complementarity of the Maldacena and Randall-Sundrum pictures,
2052
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