Graviton emission from a higher-dimensional black hole
Abstract
We discuss the graviton absorption probability (greybody factor) and the cross-section of a higher-dimensional Schwarzschild black hole (BH). We are motivated by the suggestion that a great many BHs may be produced at the LHC and bearing this fact in mind, for simplicity, we shall investigate the intermediate energy regime for a static Schwarzschild BH. That is, for
(2M
)
1/(n−1)
ω∼1
, where
M
is the mass of the black hole and
ω
is the energy of the emitted gravitons in
(2+n)
-dimensions. To find easily tractable solutions we work in the limit
l≫1
, where
l
is the angular momentum quantum number of the graviton.