Validity of Emparan-Horowitz-Myers argument in Hawking radiation into massless spin-2 fields

Abstract

The Hawking radiation for massless spin-2 fields is numerically studied when the spacetime background is (4+n)-dimensional Schwarzschild black hole phase. In order to check the validity of the Emparan-Horowitz-Myers argument, {\it black holes radiate mainly on the brane}, we assume that the radial equation for the massless spin-2 fields propagating on the brane obeys the master equation approximately. The transmission coefficient is computed explicitly by making use of the Hawking-Hartle theorem. It is shown that the total emission rates into the bulk are dominant compared to the rates on the visible brane when $n\ge 3$. However, the bulk-to-brane relative emissivities per degree of freedom always remain O(1) roughly. The experimental significance of these results in the production of mini black holes in future colliders is briefly discussed.

V1:9 pages, 4 figures, V2: some typos corrected in reference V3: title changed, final version, appear in MPLA

References in corpus (4)

• Graviton Emission in the Bulk from a Higher-Dimensional Schwarzschild Black Hole
• Emissivities for the various Graviton Modes in the Background of the Higher-Dimensional Black Hole
• Bulk versus Brane Emissivities of Photon Fields: For the case of Higher-Dimensional Schwarzschild Phase
• Remark on the effective potential of the gravitational perturbation in the black hole background projected on the brane

Cited by in corpus (3)

• Hawking radiation in a $d$-dimensional static spherically-symmetric black Hole surrounded by quintessence
• Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Extension of non-minimal derivative coupling theory and Hawking radiation in black-hole spacetime