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 $(2M{)}^{1/(n-1)}\omega \sim 1$, where $M$ is the mass of the black hole and $\omega$ is the energy of the emitted gravitons in $(2+n)$-dimensions. To find easily tractable solutions we work in the limit $l\gg 1$, where $l$ is the angular momentum quantum number of the graviton.

10 pages, 8 figures, references added, typos corrected. Graviton degeneracy factor included; main results remain unchanged

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