Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-11-15
JHEP0803:027,2008
Physics
High Energy Physics
High Energy Physics - Theory
references added, compatible with the published version
Scientific paper
10.1088/1126-6708/2008/03/027
Based on the fact that the near horizon geometry of the extremal Schwarzschild-de Sitter black holes is Nariai geometry, we define the black holes of Nariai class as the configuration whose near-horizon geometry is factorized as two dimensional de Sitter space-time and some compact topology, that is Nariai geometry. We extend the entropy function formalism to the case of the black holes of Nariai class. The conventional entropy function (for the extremal black holes) is defined as Legendre transformation of Lagrangian density, thus the `Routhian density', over two dimensional anti-de Sitter. As for the black holes of Nariai class, it is defined as {\em minus} `Routhian density' over two dimensional de Sitter space-time. We found an exact agreement of the result with Bekenstein-Hawking entropy. The higher order corrections are nontrivial only when the space-time dimension is over four, that is, $d>4$. There is a subtlety as regards the temperature of the black holes of Nariai class. We show that in order to be consistent with the near horizon geometry, the temperature should be non-vanishing despite the extremality of the black holes.
Cho Jin-Ho
Nam Soonkeon
No associations
LandOfFree
The Entropy Function for the Black Holes of Nariai Class does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Entropy Function for the Black Holes of Nariai Class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Entropy Function for the Black Holes of Nariai Class will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-3255