Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-28
Phys.Rev.D83:107502,2011
Physics
High Energy Physics
High Energy Physics - Theory
Latex 13 pages without figure
Scientific paper
10.1103/PhysRevD.83.107502
The constant curvature (CC) black holes are higher dimensional generalizations of BTZ black holes. It is known that these black holes have the unusual topology of ${\cal M}_{D-1}\times S^1$, where $D$ is the spacetime dimension and ${\cal M}_{D-1}$ stands for a conformal Minkowski spacetime in $D-1$ dimensions. The unusual topology and time-dependence for the exterior of these black holes cause some difficulties to derive their thermodynamic quantities. In this work, by using globally embedding approach, we obtain the Hawking temperature of the CC black holes. We find that the Hawking temperature takes the same form when using both the static an global coordinates. Also it is identical to the Gibbons-Hawking temperature of the boundary de Sitter spaces of these CC black holes. Employing the same approach, we obtain the Hawking temperature for the counterparts of CC black holes in de Sitter spaces.
Cai Rong-Gen
Myung Yun Soo
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