Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-09
Class.Quant.Grav.26:075022,2009
Physics
High Energy Physics
High Energy Physics - Theory
19 pages,some misprints corrected
Scientific paper
10.1088/0264-9381/26/7/075022
We discuss approximations of the Riemannian geometry near the horizon. If a D+1 dimensional manifold N has a bifurcate Killing horizon then we approximate N by a product of the two-dimensional Rindler space and a D-1 dimensional Riemannian manifold M. We obtain approximate formulas for scalar Green functions. We study the behaviour of the Green functions near the horizon and their dimensional reduction. We show that if M is compact then the Green function near the horizon can be approximated by the Green function of a two-dimensional quantum field theory. The correction term is exponentially small away from the horizon. We extend the results to black brane solutions of supergravity in 10 and 11 dimensions. The near horizon geometry can be approximated by N=AdS_p x S_q. We discuss Euclidean Green functions on N and their behaviour near the horizon.
No associations
LandOfFree
Euclidean scalar Green functions near the black hole and black brane horizons 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 Euclidean scalar Green functions near the black hole and black brane horizons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Euclidean scalar Green functions near the black hole and black brane horizons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-211093