Propagation of Scalars in Non-extremal Black Hole and Black p-brane Geometries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, LaTex; version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.044004

We discuss the propagation of scalars in a large class of non-extremal black hole and black p-brane geometries in generic dimensions. We show that the radial wave equation near the horizon possesses the SL(2,R) structure in every case; approximately it takes the form of the wave equation in the SL(2,R) (AdS_3) background and has a symmetry related to the T-duality of the string model in that geometry. We see a close connection to two and three dimensional black holes. We also find that, in some parameter region, the absorption cross-sections by the black objects take the form expected from a conformal field theory. Our results indicate that some of the properties known about a certain class of four and five dimensional black holes hold more generally.

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