BTZ black holes from the five-dimensional general relativity with a negative cosmological constant

We show that the five-dimensional general relativity with a negative cosmological constant allows the solutions of the form M-3 X M-g where M-3 is the three-dimensional BTZ black hole and M-g is higher genus (g > 1) Riemann surface with a fixed size. It is shown that this type of spontaneous compactification on a Riemann surface is possible only for the genus larger than one. From type IIB string theory point of view, certain near horizon geometry of D three-branes wrapped on the compact Riemann surface (g > 1) is the BTZ (or AdS(3)) space-time tensored with the Riemann surface and a constant size five-sphere. The relevance of our analysis to the positive energy conjecture of Horowitz and Myers is discussed. (C) 1999 Published by Elsevier Science B,V. All right reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
1999-03
Language
ENG
Keywords

ENERGY

Citation

PHYSICS LETTERS B, v.450, no.1-3, pp.41 - 47

ISSN
0370-2693
DOI
10.1016/S0370-2693(99)00120-3
URI
http://hdl.handle.net/10203/73497
Appears in Collection
PH-Journal Papers(저널논문)
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